Question

HCF of 100,200,500,1000​

Answer 1

Step-by-step explanation:

100 =2×2×5×5

200 =2×2×2×5×5

500 =2×2×5×5×5

1000 =5×5×5×8

Answer 2

Answer:

The HCF of the given numbers is 100.

Step-by-step explanation:

Given: The numbers are 100,200,500,1000​.

We have to find the HCF of the above numbers.

• As we know that the greatest common divisor of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers.

We are solving in the following way:

We have,

The numbers are 100,200,500,1000​.

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

The factors of 100 are:$1, 2, 4, 5, 10, 20, 25, 50, 100$

The factors of 200 are: $1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200$

The factors of 500 are: $1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500$

The factors of 1000 are: $1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000$

From the above, we can see that 100 is the largest positive integer that divides each of the integers.

Then the greatest common factor is 100.

In this problem, we are assuming we have to find the HCF of the given numbers.

Q. Find HCF of 100,200,500,1000​.