Question

If a=2cube×3 square×5 rest to power4 and b=2 square×three cube×5 find hcf

Answer 1

a=2^3× 3^2×5^4
=8×9×625
8×5625=45000
a=45000
b=2^2×3^3×5
=4×27×5
=108×5
b=540
Now,
45000=5*3*3*2*2*5*5*5*5*2*2
540=5*2*2*3*3*3
HCF=5*2*2*3*3
=180