Question

find the HCF of 20,30,40​

Answer 1

Answer:

HCF of 20,30,40 is 10.

Step-by-step explanation:

Calculate Highest Common Factor for :

20, 30 and 40

Factorize of the above numbers :

20 = 22 • 5

30 = 2 • 3 • 5

40 = 23 • 5

Build a prime factors table

Number of times each prime factor

appears in the factorization of :

Prime

Factor Number

20 Number

30 Number

40 G.C.F

(min)

2 2 1 3 1

3 0 1 0 0

5 1 1 1 1

GCF = 2 • 5

therefore, 10 is the HCF.

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Answer 2

Answer:

The HCF of 20, 30, and 40​ is 10.

Step-by-step explanation:

Given: The numbers are 20, 30, and 40​.

We have to find the HCF of the above numbers.

• As we know, the HCF (Highest Common Factor) of two or more numbers is the highest number among all the common factors of the given numbers.
• HCF is also known as the greatest common factor.

We are solving in the following way:

We have,

The numbers are 20, 30, and 40​.

First, we will find the factors of the above numbers.

The factors of 20 are: $1, 2, 4, 5, 10, 20$

The factors of 30 are: $1, 2, 3, 5, 6, 10, 15, 30$

The factors of 40 are: $1, 2, 4, 5, 8, 10, 20, 40$

From the above, we can see that 10 is the highest number among all the common factors of the given numbers.

So, the greatest common factor(HCF) is 10.