Find pairs of natural numbers whose least common multiple is 78 and the greatest divisor is 13

Find pairs of natural numbers whose least common multiple is 78 and th

1.	Find pairs of natural numbers whose least common multiple is 78 and the greatest divisor is 13
Answer» Least common factor (LCM) = 78Greatest divisor is also a HCF = 13As, we know , HCF {tex}\\times{/tex} LCM = a {tex}\\times{/tex} b ( a and b are two natural no. of which LCM and HCF is given)Therefore, required product of no. = 13 {tex}\\times{/tex} 78 = a {tex}\\times{/tex} b =1014 or 2{tex}\\times{/tex}3{tex}\\times{/tex}13{tex}\\times{/tex}13Since 13 is common in both no. as its HCF is 13Required no.= 13{tex}\\times{/tex}3 = 39 and 13 {tex}\\times{/tex}2 = 26{tex}\\therefore{/tex}\xa0Pairs of natural numbers are 78 and 13 or 26 and 39.