Math, asked by cristal, 1 year ago

find the HCF(56,75) and express in the form of 56m and 75n

Answers

Answered by JBM
2
by Euclid's division algorithm,
                75=56*1+19
since r not=0
                56=19*2+18
since r not=0
           19=18*1+1
since r not=0 
          18=1*18+0
r=0
HCF=1
1=19-18
1=19-56+19*2
1=-56+19*3
1=-56+(75-56)*3
1=-56+75*3-56*3
1=75*3+56*-4
1=56m+75n where m=-4 and n=3
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