The HCF of the smallest composite number and the smallest prime number is 1.is this statement is true or false.give reason.please
Hint:
First 4 primes: 2,3,5,7
First 3 composites: 4,6,8
This statement is false.because-
smallest composite no.: 2
smallest prime no.: 2
HCF(2,2): 2.
there fore It can't be 1.
The conclusion is correct, but not the reasoning.
"smallest composite no.: 4
smallest prime no.: 2
HCF(2,4): 2.
there fore It can't be 1. "
I am sure you got the idea.
The statement is true. The HCF (Highest Common Factor) of any two numbers is the largest number that can divide both of them.
The smallest composite number is 4, which can be factored into 2 * 2. The smallest prime number is 2. To find the HCF, we need to determine the common factors between these two numbers.
In this case, the only common factor they share is 2. Since there are no other common factors, the HCF of 4 and 2 is 2.
Therefore, the HCF of the smallest composite number (4) and the smallest prime number (2) is 2, not 1.