Question

find the greatest common factor of 24 ,148 and 36​

Answer 1

Answer-

hope it will help you

Answer 2

The greatest common factor of 24 , 148 and 36 is 4

Given :

The numbers 24 , 148 and 36

To find :

The greatest common factor of 24 , 148 and 36

Concept :

HCF :

For the given two or more numbers HCF is the greatest number that divides each of the numbers

LCM :

For the given two or more numbers LCM is the least number which is exactly divisible by each of the given numbers

Relation between HCF and LCM :

HCF × LCM = Product of the numbers

Solution :

Step 1 of 3 :

Write down the given numbers

Here the given numbers are 24 , 148 and 36

Step 2 of 3 :

Prime factorise the given numbers

24 = 2 × 2 × 2 × 3

148 = 2 × 2 × 37

36 = 2 × 2 × 3 × 3

Step 3 of 3 :

Find greatest common factor

We know that for given two or more numbers greatest common factor (GCF) is the greatest number that divides each of the numbers

The required greatest common factor

= The greatest common factor of 24 , 148 and 36

= The greatest number that divides each of the numbers

= 2 × 2

= 4

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