Question

find the greatest number that will divide 137,182,422 leaving the remainder 2 in each case

Answer 1

The answer is 15
Hope so this was helpful

Answer 2

hye

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we  have to find  the greatest number that will divide 137,182,422 leaving the remainder 2 in each case


let the hcf be A

=> so let us subtract 2 from  the 3 cases
=>137 - 2 =135

=> 182-2 = 180


=>422-2 = 420-------------------now lets find the hcf 

=>prime factorisation of 135=  3*3*3*5

prime factoristaion of 180 =  2*5*2*3*3


prime factoristaion of 420 = 7*5*3*3*2


now lets take out the common factors from 3 cases
=> 3 and 5,


x = 5* 3 = 15


∴      15 is the  number that will divide 137,182,422 leaving the remainder 2 in each case

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hope it helps u.........