Question

find the hcf and lcm of 28 and 40 and verify that hcf multiplied by lcm=product of the numbers

Answer 1

H.C.F is
40=28×1+12
28=12×2+4
12=4×2+0

H.C.F is 4

L.C.M

28=2×14
=2×2×7

40=2×20
=2×2×10
=2×2×2×5

L.C.M=2×2×7×2×5
=280

now proving
280×4=28×40
1120=1120

L.H.S=R.H.S hence proof
hope this answer is helpful plz mark it as brainliest

Answer 2

28=2x2x7
40=2x2x2x5

LCM= 2x2x2x7x5
=280

HCF= 2x2=4

LCMxHCF= 280x4=1120
Product of the numbers = 28x40=1120

Hence proved