Question

what is the HCF of the number 144,96,72

Answer 1

Answer:

144 = 24 • 32  

   96 = 25 • 3  

   72 = 23 • 32  

Build a prime factors table

   Number of times each prime factor

   appears in the factorization of :

Prime  

Factor   Number  

144   Number  

96   Number  

72    G.C.F  

(min)  

2 4 5 3 3

3 2 1 2 1

GCF = 23 • 3

Greatest Common Factor is :

24

Answer 2

Answer:

HCF of 144 , 96 , 72 =  24

Step-by-step explanation:

Given :

we are given three integers

144 , 96 , 72

To Find :

HCF of the given Numbers

Solution :

Since we have to find HCF of the number 144 , 96 , 72

First we have to factorize the given numbers

• The factors of 144 = 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
• The factors of 96 = 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
• The factors of 72 = 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Here greatest common factor is 24.

So we can say that HCF of 144 , 96 , 72 is 24

#SPJ2