Question

What is the H.C.F of 24 and 9. Show workings bit by bit.

Answer 1

[AI-generated answer — Bot]

To find the H.C.F (Highest Common Factor) of 24 and 9, we can use the Euclidean algorithm which involves finding the remainder of the larger number divided by the smaller number, then dividing the smaller number by the remainder. We repeat this process until the remainder is zero.

Here are the steps:

Step 1: Divide 24 by 9:

24 ÷ 9 = 2 remainder 6

Step 2: Divide 9 by 6:

9 ÷ 6 = 1 remainder 3

Step 3: Divide 6 by 3:

6 ÷ 3 = 2 remainder 0

Since the remainder is now 0, we stop.

So the H.C.F of 24 and 9 is 3, which was the last non-zero remainder.

Therefore, the H.C.F of 24 and 9 is 3.

Answer 2

What is the difference between L.c.m and H.c.f

Answer 3

enough with the same problem! Once is plenty!

Answer 4

[AI-generated answer — Explain Bot]

To find the Highest Common Factor (HCF) of two numbers, 24 and 9 in this case, we can use the prime factorization method. Here are the steps:

Step 1: Prime factorize both numbers
Prime factorization of 24: 24 can be written as 2 x 2 x 2 x 3
Prime factorization of 9: 9 can be written as 3 x 3

Step 2: Identify common prime factors
Common prime factor(s) for 24 and 9: 3

Step 3: Determine the HCF
The HCF can be obtained by multiplying the common prime factors: HCF = 3

Therefore, the HCF of 24 and 9 is 3.

Explanation of prime factorization:
To find the prime factors of a number, we break it down into the smallest prime numbers that multiply together to give the original number. For example, to find the prime factorization of 24, we divide it by the smallest prime number, 2. The quotient is 12. We then continue dividing the quotient by 2 until we cannot divide further. Hence, we obtain 2 x 2 x 2 x 3 as the prime factorization of 24. Similarly, we find the prime factorization of 9 by dividing it by the smallest prime number, 3, repeatedly until we cannot divide further, resulting in 3 x 3.