Math, asked by suryakant78kr, 2 months ago

find the greatest number will divide 36,48 ,120​

Answers

Answered by Anonymous
3

Answer:

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12 is the greatest number which exactly divide 36 and 48

Answered by ItzNiladoll
4

Step-by-step explanation:

SOLUTION:-

48= 6x8= (2x3)(2^3)=2^4 x 3

72= 9 x 8= 3^2 x 2^3

60=10x 6= 5 x 2 x 3 x 2= 5 x 2^2 x 3

First notice that you can pull out a 2^2 from each one

Dividing by 2^2, or 4 gives:

12= 2^2 x 3

18= 3^2 x 2

15= 5 x 3

Now it’s clear to see that you can also take out a 3 from each number

Dividing by 3 gives

4= 2^2

6= 3 x2

5=5 x 1

The remaining numbers are 4, 6, 5, which are the original numbers with the common factors taken out.

The GCF is 4x3=12

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