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ICSE Class 6 Answered

Find  the greatest number that will divide 37,56,and 93 leaving the remainder 1, 2, and 3 respectively. 
Asked by Hashmina | 17 Aug, 2018, 05:37: PM
answered-by-expert Expert Answer
begin mathsize 16px style Find space space the space greatest space number space that space will space divide space
37 comma 56 comma and space 93 space leaving
space the space remainder space 1 comma space 2 comma space and space 3 space respectively. space
37 space minus space 1 space equals space 36
56 space minus space 2 space equals space 54
93 space minus space 3 space equals space 90
HCF left parenthesis 36 comma space 54 comma space 90 right parenthesis
36 space equals space bold 2 space cross times space 2 space cross times bold 3 bold space bold cross times bold 3
54 space equals space bold 2 bold space cross times space bold 3 bold space bold cross times bold 3 space cross times 3
90 space equals bold space bold 2 space cross times bold space bold 3 bold space bold cross times bold 3 space cross times 5
rightwards double arrow space HCF left parenthesis 36 comma space 54 comma space 90 right parenthesis space equals space bold 2 bold space bold cross times bold space bold 3 bold space bold cross times bold 3 bold space bold equals bold space bold 18
bold rightwards double arrow bold 18 bold space is space the space greatest space number space that space will space divide space 37 comma 56 comma and space 93 space leaving
space the space remainder space 1 comma space 2 comma space and space 3 space respectively. space end style
Answered by Yasmeen Khan | 20 Aug, 2018, 10:19: AM
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