GCD of 875, 684, 29, 992 Calculator

Given Input numbers are 875, 684, 29, 992

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

Divisors of 875

List of positive integer divisors of 875 that divides 875 without a remainder.

1, 5, 7, 25, 35, 125, 175, 875

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Greatest Common Divisior

We found the divisors of 875, 684, 29, 992 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 875, 684, 29, 992 is 1.

Therefore, GCD of numbers 875, 684, 29, 992 is 1

Given Input Data is 875, 684, 29, 992

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

Prime Factorization of 875 is 5 x 5 x 5 x 7

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 29 is 29

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

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(875, 684) = 598500

GCD(875, 684) = ( 875 x 684 ) / 598500

GCD(875, 684) = 598500 / 598500

GCD(875, 684) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 29

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

LCM(1, 29) = 29

GCD(1, 29) = ( 1 x 29 ) / 29

GCD(1, 29) = 29 / 29

GCD(1, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 992

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

LCM(1, 992) = 992

GCD(1, 992) = ( 1 x 992 ) / 992

GCD(1, 992) = 992 / 992

GCD(1, 992) = 1

GCD of 875, 684, 29, 992 is 1

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1. What is the GCD of 875, 684, 29, 992?

GCD of 875, 684, 29, 992 is 1

2. Where do I get the detailed procedure to find GCD of 875, 684, 29, 992?

You can find a detailed procedure to find GCD of 875, 684, 29, 992 on our page.

3. How to find GCD of 875, 684, 29, 992 on a calculator?

You can find the GCD of 875, 684, 29, 992 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.