Find the highest common factor and least common multiple of 6, 72 and 120 by prime factorisation method
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Answered by
1
6=2,3
72=2,2,2,3,3
120=2,2,2,3,5
H.C.F=2×3=6 is the ans
72=2,2,2,3,3
120=2,2,2,3,5
H.C.F=2×3=6 is the ans
Answered by
0
Using EDL
as we know a> always than b
so here 72>6
so a=72 and b=6
a=bq+r
72=6×12+0
here r=0
so the Hcf of (6,72)=6
so here a=120 and b=6
120=6×20+0
here also r=0
so hcf of (6,72,120)=6
As we know hcf×lcm=1st×2nd×3rd
6×lcm=6×72×120
lcm=51840÷6
lcm =8640
as we know a> always than b
so here 72>6
so a=72 and b=6
a=bq+r
72=6×12+0
here r=0
so the Hcf of (6,72)=6
so here a=120 and b=6
120=6×20+0
here also r=0
so hcf of (6,72,120)=6
As we know hcf×lcm=1st×2nd×3rd
6×lcm=6×72×120
lcm=51840÷6
lcm =8640
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