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The greatest number will divide 68 and 38 leaving remainder 8 every time. The answer should be 30 however as per defence ministery answer is 15. Please provide the correct answer.

The greatest number will divide 68 and 38 leaving remainder 8 every time. 
 
The answer should be 30 however as per defence ministery answer is 15. Please provide the correct answer. 

Grade:6

1 Answers

Arun
25750 Points
5 years ago
=>  38 -  8 = 30
= 53 - 8 =  45
now lets find the hcf of 30 and 45
factors of 30 = 1,2,3,5,6,15,10,30
factors of 45 = 1, 3, 5, 9, 15 and 45.
so hcf
=>15
hence 15 is the greatest number that divides 38 and 53 leaving 8 as remainder in each case

 
 

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