Question

find the HCF 16,24,30​

Answer 1

Answer:

,

Step-by-step explanation:

Factorize of the above numbers :

    16 = 24 

    24 = 23 • 3 

    30 = 2 • 3 • 5 

Build a prime factors table

    Number of times each prime factor

    appears in the factorization of : Prime 

 Factor  Number 

 16  Number 

 24  Number 

 30   G.C.F  

 (min) 243113011050010 GCF = 2

Greatest Common Factor is :

      2

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Answer 2

Answer:

The HCF of 16, 24, and 30​ is 2.

Step-by-step explanation:

Given: The numbers are 16, 24, and 30​.

We have to find the HCF of the above numbers.

• As we know, the HCF (Highest Common Factor) of two or more numbers is the highest number among all the common factors of the given numbers.
• HCF is also known as the greatest common factor.

We are solving in the following way:

We have,

The numbers are 16, 24, and 30​.

First, we will find the factors of the above numbers.

The factors of 16 are: $1, 2, 4, 8, 16$  

The factors of 24 are:$1, 2, 3, 4, 6, 8, 12, 24$  

The factors of 30 are: $1, 2, 3, 5, 6, 10, 15, 30$

From the above, we can see that 2 is the highest number among all the common factors of the given numbers.

So, the greatest common factor(HCF) is 2.