Question

show that the hcf of 12 and 15 is not greater than either 12 or 15 . also show that the lcm of 12 and 15 is not less than either 12 or 15

Answer 1

12 and 15 hcf is 4 and Lcm is 60 I think it's help you

Answer 2

For HCF,
factors of
12= 2× 2×3
15= 5×3
common factors= 3
3 is less than 12 and 15

for LCM
factors of
12= 2×2×3
15= 3×5
common factor=3
uncommon factor = 2×2×5
LCM= common factor × uncommon factor
= 3×2×2×5
= 60
60 is greater than both 12 and 15