Test: HCF & LCM- 1

In number theory, Co-prime numbers are those numbers if the only positive factor that divides them is 1.

Here,

Option A: (16,18) Factors that divide both of them are 1,2.

Option B: (11,48) Factor that divides both of them is 1.

Option C: (8,23) Factor that divides both of them is 1.

In reference to above definition both b and c are co-prime numbers.

The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36.

Hence, 3 is a factor of 36.

LCM is divisible by HCF.

Hence, 8 cannot be the HCF  because 84 is not divisible by 8.

Using divisibility rule:

9+1+8+5+7+3 = 33,

33 is divisible by 3 ( 11×3)

So, 918573 is divisible by 3.

The Prime numbers between the numbers 1 to 100 are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

Here, we can see that the total count of prime numbers is 25.

No, it is not a prime number.

A factor of a number is always less than or equal to the given number. Every number except 0 and 1 has at least two factors, 1 and itself.

The product of 2 co-prime numbers is equal to their LCM.

Hence, if one number is 16 other one is 

• The HCF of two coprime numbers is always 1.
• For example, 5 and 9 are coprime numbers, there, HCF (5, 9) = 1.

Let the other number be x

Product of two numbers = HCF × LCM 

 x × 36 = 6 × 144

 Hence, the other number is x = 24