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Find the largest number which divides 77 , 147 , 252 to leave the same remainder in each case.

Solution:
Your problem `->` Find the largest number which divides 77 , 147 , 252 to leave the same remainder in each case.


`"Required number" = "HCF of " ( 147 - 77 ), ( 252 - 147 ), ( 252 - 77 )`

`= "HCF of " 70, 105, 175 = 35`.

Factor of 70,105,175 are as follows...

270
535
77
 1
 
3105
535
77
 1
 
5175
535
77
 1

The HCF of a, b is the largest positive number that exactly divides both a and b.
Find HCF
70=2 × 5 × 7
105=3 × 5 × 7
175=5 × 5 × 7

HCF = 5 × 7 = 35

HCF of `70,105,175` is `35`









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