mathematics
(11) Greatest number which can divide 327, 352, 200 leaving respectively 12, 7, 5 as remainders, is :
Soln. Required number = H.C.F. of ( 327 – 12 ), ( 352 – 7 ), ( 200 – 5 )
= H.C.F. of 315, 345, 195
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☼ Comparison of Fractions : Find the L.C.M. of the denominators of the given fractions. Convert each of the fractions into an equivalent fraction with L.C.M. as the denominator, by multiplying both the numerator and denominator by…
☼ H.C.F. and L.C.M. of Decimal Fractions : In given numbers, make the same number of decimal places by annexing zeros in some numbers, of necessary. Considering these numbers without decimal point, find H.C.F. or L.C.M. of as the…
☼ Euclidean Algorithm : Of ‘d’ is the H.C.F. of two positive integers ‘a’ and ‘b’, then there exists unique integers ‘m’ and ‘n’ such that d = am + bn.
e.g. (15, 21) = 3 <...
☼ To find L. C. M. of Given Numbers :
■ L. C. M. by Definition : Write all the multiples of each number and take common multiples of all multiples and then select the least …
☼ To find H.C.F. of Given Numbers :
■ H. C. F. by Definition : Write all the factors (divisors) of each number and take common factors (divisors) of all factors (divisors) and then sele…