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Find the greatest number that can divide 645and790 so as to leave a remainder 7in each case

Find the greatest number that can divide 645and790 so as to leave a remainder 7in each case
 

Grade:10

1 Answers

ADARSH SINGH
123 Points
3 years ago
Since , the given number divides 645 and 790, leaving remainder 7 in each case ,
 
therefore , the number must exactly divide 645-7=638 and 790-7=783.
 
there fore ,the requiered number is HCF of 638 and 783.
 
as you  can find out, that HCF OF 638 and 783 = 29.
 
therefore , requiered answer is 29.

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