GCD of 870, 635, 800, 984 Calculator

Given Input numbers are 870, 635, 800, 984

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 635

List of positive integer divisors of 635 that divides 635 without a remainder.

1, 5, 127, 635

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Greatest Common Divisior

We found the divisors of 870, 635, 800, 984 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 870, 635, 800, 984 is 1.

Therefore, GCD of numbers 870, 635, 800, 984 is 1

Given Input Data is 870, 635, 800, 984

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 870 is 2 x 3 x 5 x 29

Prime Factorization of 635 is 5 x 127

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(870, 635) = 110490

GCD(870, 635) = ( 870 x 635 ) / 110490

GCD(870, 635) = 552450 / 110490

GCD(870, 635) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 800

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(5, 800) = 800

GCD(5, 800) = ( 5 x 800 ) / 800

GCD(5, 800) = 4000 / 800

GCD(5, 800) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 984

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(5, 984) = 4920

GCD(5, 984) = ( 5 x 984 ) / 4920

GCD(5, 984) = 4920 / 4920

GCD(5, 984) = 1

GCD of 870, 635, 800, 984 is 1

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1. What is the GCD of 870, 635, 800, 984?

GCD of 870, 635, 800, 984 is 1

2. Where do I get the detailed procedure to find GCD of 870, 635, 800, 984?

You can find a detailed procedure to find GCD of 870, 635, 800, 984 on our page.

3. How to find GCD of 870, 635, 800, 984 on a calculator?

You can find the GCD of 870, 635, 800, 984 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.