two numbers 164 and 235 leave 2 and 1 as respective remainders when divide by same number. what is the largest of such number.
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Step-by-step explanation:
164-2=162.......(1)
235-1=234.......(2)
take LCM to equation (1)&(2)
164=2×3×3×3×3
234=2×3×3×13
=2×3×3 is common in both equation (1)&(2) , and 2 is once and 3 is twice.
Therefore 18 is the largest number which divide 164 and 235 leaving 2 and 1 as remainder.
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