Question

find the HCF of 4, 5, 24 by prime factorization ​

Answer 1

Step-by-step explanation:

HCF 4,5,24

4 = 2×2×1

5 = 1×5

24 = 1× 2× 12

1 × 2 × 2 × 6

1 × 2 × 2 × 2 × 3

HCF= 1

As 1 is common in all 4 number.

Answer 2

Answer: 1 is the HCF of all these numbers.

Given: We are given the numbers 4,5,24

To Find: We have to find the HCF by prime factorization

Step-by-Step Explanation: HCF stands for highest common factor i.e., the highest number that divides all these numbers.

Procedure for finding HCF is:

• Firstly, break all the numbers into their prime factors
• Then select the highest power of prime factor that is common among all the numbers. Do this for every prime factor.
• Then, multiply those highest powers of prime factor to get the HCF.

Step 1: Breaking the numbers into prime factors:

$4=2^{2}*1$

$5=5*1$

$24=2^{3}*3*1$

Since, 1 is the only factor that is common among all the numbers.

1 is the HCF of the given numbers.

To know more about HCF and LCM, refer to the links below:

https://brainly.in/question/25945206

https://brainly.in/question/20353612

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