GCD of 824, 684, 89, 875 Calculator

Given Input numbers are 824, 684, 89, 875

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

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

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 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 875

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

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

Greatest Common Divisior

We found the divisors of 824, 684, 89, 875 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 824, 684, 89, 875 is 1.

Therefore, GCD of numbers 824, 684, 89, 875 is 1

Given Input Data is 824, 684, 89, 875

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

Prime Factorization of 824 is 2 x 2 x 2 x 103

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

Prime Factorization of 89 is 89

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

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(824, 684) = 140904

GCD(824, 684) = ( 824 x 684 ) / 140904

GCD(824, 684) = 563616 / 140904

GCD(824, 684) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 89

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

LCM(4, 89) = 356

GCD(4, 89) = ( 4 x 89 ) / 356

GCD(4, 89) = 356 / 356

GCD(4, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 875

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

LCM(1, 875) = 875

GCD(1, 875) = ( 1 x 875 ) / 875

GCD(1, 875) = 875 / 875

GCD(1, 875) = 1

GCD of 824, 684, 89, 875 is 1

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1. What is the GCD of 824, 684, 89, 875?

GCD of 824, 684, 89, 875 is 1

2. Where do I get the detailed procedure to find GCD of 824, 684, 89, 875?

You can find a detailed procedure to find GCD of 824, 684, 89, 875 on our page.

3. How to find GCD of 824, 684, 89, 875 on a calculator?

You can find the GCD of 824, 684, 89, 875 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.