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The greatest number will divide 3026 abd 5053 leaving renaubder 11 and 13 respectively?

The greatest number will divide 3026 abd 5053 leaving renaubder 11 and 13 respectively?

Grade:6

1 Answers

Arun
25763 Points
2 years ago
Dear student
 
Required Number can be given by: 

HCF of (3026 - 11) and (5053 - 13)
HCF of 3015 and 5040 = 15.
To find HCF, we break the given numbers in their prime Factors.
3015 = 3*3*5*67
5040 = 2*2*2*2*3*3*5*7
We take common multiples in these two given numbers to get required HCF.
And Common multiples are: 3*5
So, Required HCF = 15.
 
Regards
Arun

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