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find the greatest number which divides 10,698, 6,443 and 14,995 leaving 18,35, and 43 as remainder respectively

Sagot :

First subtract the remainders from both numbers
10,698-18 = 10,680
6,443-35 = 6,408
14,995-43 = 14,952

Then look for their GCF
10,680 = 2·2·2·3·5·89
6,408 = 2·2·2·3·3·89
14,952 = 2·2·2·3·7·89
GCF = 2·2·2·3·89 = 2,136