find the greatest number will divide 36,48 ,120
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3
Answer:
12 is the greatest number which exactly divide 36 and 48
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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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