Find the pairs of natural numbers whose least common multiple is 78 and the greatest divisor is 13.
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jaatsahab27:
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LCM=78
HCF=13
no.s are multiples of 13
let they are 13x and 13y
product of no.=LCM *HCF
13*13xy=78*13
so xy= 6
so if
x=1 then y=6
x=2 then y=3
so the no.s are 13x, 13y
one pair:- 13, 78
second pair:-26, 39
HCF=13
no.s are multiples of 13
let they are 13x and 13y
product of no.=LCM *HCF
13*13xy=78*13
so xy= 6
so if
x=1 then y=6
x=2 then y=3
so the no.s are 13x, 13y
one pair:- 13, 78
second pair:-26, 39
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