Question

The HCF of two numbers is less than or equal to the which number

Answer 1

Answer:

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Step-by-step explanation:

It is a 'common factor' which means it divides all the numbers. To be able to divide each number it must be less than or equal to thatnumber. Therefore it is less than or equal to all the numbers. The GCF of two numbers is 3 and their product is 54

Answer 2

The HCF of two numbers is less than or equal to any of two numbers.

Q : The HCF of two numbers is less than or equal to the which number.

Concepts :

• HCF : It is the acronym of Highest Common Factor.  It means, when we find factors of different given numbers, taken their all common factors then the number made from these common factors is known as HCF.
• from definition of HCF, it is just the common factor of two or more than two numbers. it means, HCF is less than or equal to any of those numbers.

Let's understand with example,

Take two numbers p and q in such a way that,

prime factors of p = a² × b³ ,

and prime factors of q = a³ × b⁴ , where a and b are prime numbers.

∴ HCF of these two numbers = a² × b³

Here you see, HCF = a² × b³ = p but HCF < q

Therefore it is clear that HCF of two numbers is less than or equal to any of these given numbers.

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