find the largest number that divides 2053 and 967 and leaves the remainder 5 and 7
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Let m be
Now, on dividing 2053 and 967 by m let the quotients be q1 and q2 respectively,
so, by Euclid 's division lemma,
2053 = mq1 + 5 ---- (i)
967 = mq2 + 7 ---- (ii)
Now, mq1 = 2048 and, mq2 = 960
clearly, hcf of mq1 and mq2 is m
so, m = H.C.F {2048, 960} = 64
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CBSE ICSE/ISC Kerala (English Medium) IGCSE
Select Categories English Mathematics Physics Chemistry Biology General Science EVS Social Studies History & Civics Geography Politics Computer Application Computer Science General Knowledge Economics Business Mathematics Accountancy Commerce Business Studies
Let m be
Now, on dividing 2053 and 967 by m let the quotients be q1 and q2 respectively,
so, by Euclid 's division lemma,
2053 = mq1 + 5 ---- (i)
967 = mq2 + 7 ---- (ii)
Now, mq1 = 2048 and, mq2 = 960
clearly, hcf of mq1 and mq2 is m
so, m = H.C.F {2048, 960} = 64
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