Question

find two three digit numbers whose hcf is 80and lcm is 5760

Answer 1

Solution :

Let the required number be 80 a & 80 b,

Where, a and b are divisible by each other

Then, 80 a × 80 b = 80 × 5760

a × b = 80 × 5760 / 80 × 80

ab = 72

(a = 1, b = 72) or (a = 8, b = 9)

• Possible combinations of numbers

= (80 × 1, 80 × 72) or (80 × 8, 80 × 9)

The three digits numbers out of these would be :

= 640 & 720