Question

Find the largest number which divides 70and125 leaving remainders 5and8 respectively

Answer 1

Hey!!!!!

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Given Numbers => 70 and 125

Numbers we will use

=> 70 - 5 = 65

=> 125 - 8 = 117

Thus by Prime Factorisation Method

=> 65 = 5 x 13

=> 117 = 3² x 13

Thus HCF(117,65) = 13

Thus the largest number which divides 70 and 125 leaving remainder 5 and 8 respectively is 13

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Hope this helps ✌️

Legally Good Morning :)

Answer 2

It is leaving remainder, it means numbers which are divisible are,

70-5=65
125-5=8=117


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•65 = 5×13
•113=3×3×13

As 13 if common in both,

13 is the largest number which is required here.



I hope this will help you


-by ABHAY