What is HCF example?

Publish date: 2023-01-23

HCF : The largest number that divides two or more numbers is the highest common factor (HCF) for those numbers. For example, consider the numbers 30 (2 x 3 x 5), 36 (2 x 2 x 3 x 3), 42 (2 x 3 x 7), 45 (3 x 3 x 5). 3 is the largest number that divides each of these numbers, and hence, is the HCF for these numbers.

In this regard, What is the HCF of 12?

Factors of 12 = 1, 2, 3, 4, 6 and 12. Factors of 18 = 1, 2, 3, 6, 9 and 18. Therefore, common factor of 12 and 18 = 1, 2, 3 and 6. Highest common factor (H.C.F) of 12 and 18 = 6 [since 6 is the highest common factor].

Regarding this, What is the HCF of 69?

Prime Factorization of 69 is 2 × 23. Positive factors of 69 are 1, 3, 23, and 69. Negative factors pair of 69 are (-1, -69) and (-3, -23).

Beside above, What is the HCF of 15 and 30?

GCF of 15 and 30 by Listing Common Factors

There are 4 common factors of 15 and 30, that are 1, 3, 5, and 15. Therefore, the greatest common factor of 15 and 30 is 15.

What is the HCF of 7? Solution: The highest number that divides 7 and 8 exactly is their highest common factor, i.e. HCF of 7 and 8. ⇒ Factors of 7 and 8: Factors of 7 = 1, 7.

23 Related Questions Answers Found

What is the HCF of 20?

FAQs on HCF of 20 and 30

The HCF of 20 and 30 is 10. To calculate the Highest common factor (HCF) of 20 and 30, we need to factor each number (factors of 20 = 1, 2, 4, 5, 10, 20; factors of 30 = 1, 2, 3, 5, 6, 10, 15, 30) and choose the highest factor that exactly divides both 20 and 30, i.e., 10.

What is the HCF of 12 and 24?

As visible, 12 and 24 have common prime factors. Hence, the HCF of 12 and 24 is 2 × 2 × 3 = 12.

What is the HCF of 12 and18?

What is HCF of 12 and 18? Answer: HCF of 12 and 18 is 6. Explanation: The HCF of two non-zero integers, x(12) and y(18), is the highest positive integer m(6) that divides both x(12) and y(18) without any remainder.

What is the HCF of 75and 69?

So the greatest common factor 69 and 75 is 3.

What is the HCF of 825?

For a prime number the only factors are 1 and itself. Now let us find the prime factorization of 825, 675 and 450. is common for 825, 675 and 450. Hence, we got HCF = 75.

How do you find the HCF of 75 69?

The first step to find the gcf of 75 and 69 is to list the factors of each number. The factors of 75 are 1, 3, 5, 15, 25 and 75. The factors of 69 are 1, 3, 23 and 69. So, the Greatest Common Factor for these numbers is 3 because it divides all them without a remainder.

What is the HCF of 25?

To find the HCF of 25 and 40, we will find the prime factorization of the given numbers, i.e. 25 = 5 × 5; 40 = 2 × 2 × 2 × 5. ⇒ Since 5 is the only common prime factor of 25 and 40. Hence, HCF (25, 40) = 5.

What is the HCF of 16 and 24?

The HCF of 16 and 24 is 8. To calculate the Highest common factor (HCF) of 16 and 24, we need to factor each number (factors of 16 = 1, 2, 4, 8, 16; factors of 24 = 1, 2, 3, 4, 6, 8, 12, 24) and choose the highest factor that exactly divides both 16 and 24, i.e., 8.

What is the HCF of 15 and 25?

GCF of 15 and 25 by Listing Common Factors

There are 2 common factors of 15 and 25, that are 1 and 5. Therefore, the greatest common factor of 15 and 25 is 5.

What is the HCF of 7 and 9?

Answer: HCF of 7 and 9 is 1.

What is the HCF of 5 and 7?

What is the GCF of 5 and 7? The GCF of 5 and 7 is 1. To calculate the greatest common factor (GCF) of 5 and 7, we need to factor each number (factors of 5 = 1, 5; factors of 7 = 1, 7) and choose the greatest factor that exactly divides both 5 and 7, i.e., 1.

What is the HCF of 20 25 and 30?

The highest number that divides 20, 25, and 30 exactly is their highest common factor. The HCF of 20, 25, and 30 is 5. ∴ The highest number that divides 20, 25, and 30 is 5.

What is the HCF of 20 25?

Answer: HCF of 20 and 25 is 5.

What is the HCF of 12 45 and 75?

HCF of 12,45,75 is 3.

What is the HCF of 25 and 65?

Hence, (1 × 5) i.e. 5 is HCF of 25 & 65.

What is the HCF of 15 25 and 30?

The highest number that divides 15, 25, and 30 exactly is their highest common factor. The HCF of 15, 25, and 30 is 5. ∴ The highest number that divides 15, 25, and 30 is 5.

What is the HCF of 32?

HCF is called as the highest common factor. LCM is called least common multiple. From the above, it is clear that 32=2×2×2×2×2 and 48=2×2×2×2×3 .

What is the HCF of 12 and 20?

FAQs on HCF of 12 and 20

The HCF of 12 and 20 is 4. To calculate the HCF (Highest Common Factor) of 12 and 20, we need to factor each number (factors of 12 = 1, 2, 3, 4, 6, 12; factors of 20 = 1, 2, 4, 5, 10, 20) and choose the highest factor that exactly divides both 12 and 20, i.e., 4.

What is the HCF of 825675450?

HCF(825,675,450)=3*5*5=75cm.

What is the HCF of 60?

Solution: The highest number that divides 60 and 75 exactly is their highest common factor, i.e. HCF of 60 and 75. ⇒ Factors of 60 and 75: Factors of 60 = 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60.

What is the LCM of 63 70 and 77?

Answer: LCM of 63, 70, and 77 is 6930.

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