Question

So, 999 cannot be une
7. The HCF and LCM of two numbers are 29 and 1160 respectively. If one of the
numbers is 290, find the other number.
Do yourself according to Q.1. (116)​

Answer 1

Answer:

hcf×lcm =a×b

29×1160=290×a

33640=290×b

b= 33640÷290

b=116

Answer 2

Given:

• The HCF (Highest Common Factor) of two numbers is 29
• The LCM (Lowest Common Factor) of two numbers is 1160
• One of the numbers is 290

To find:

Another number

We know that

• HCF × LCM = product of two numbers

Let another number be 'b'

So,

⇒ 29 × 1160 = 290 * b

⇒ 33640 = 290 * b

⇒ 33640 ÷ 290 = b

[By taking 290 to LHS]

⇒ 116 = b

Thus,

• Another number is = b = 116

--------

• HCF × LCM

= 29 * 1160

= 33640

Now,

• The product of two numbers is

= 290 × 116

= 33640

So,

Verified (HCF × LCM = Product of two numbers)