GCD of 921, 638, 87, 829 Calculator

Given Input numbers are 921, 638, 87, 829

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

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 829

List of positive integer divisors of 829 that divides 829 without a remainder.

1, 829

Greatest Common Divisior

We found the divisors of 921, 638, 87, 829 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 921, 638, 87, 829 is 1.

Therefore, GCD of numbers 921, 638, 87, 829 is 1

Given Input Data is 921, 638, 87, 829

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

Prime Factorization of 921 is 3 x 307

Prime Factorization of 638 is 2 x 11 x 29

Prime Factorization of 87 is 3 x 29

Prime Factorization of 829 is 829

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(921, 638) = 587598

GCD(921, 638) = ( 921 x 638 ) / 587598

GCD(921, 638) = 587598 / 587598

GCD(921, 638) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 87

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

LCM(1, 87) = 87

GCD(1, 87) = ( 1 x 87 ) / 87

GCD(1, 87) = 87 / 87

GCD(1, 87) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 829

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

LCM(1, 829) = 829

GCD(1, 829) = ( 1 x 829 ) / 829

GCD(1, 829) = 829 / 829

GCD(1, 829) = 1

GCD of 921, 638, 87, 829 is 1

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1. What is the GCD of 921, 638, 87, 829?

GCD of 921, 638, 87, 829 is 1

2. Where do I get the detailed procedure to find GCD of 921, 638, 87, 829?

You can find a detailed procedure to find GCD of 921, 638, 87, 829 on our page.

3. How to find GCD of 921, 638, 87, 829 on a calculator?

You can find the GCD of 921, 638, 87, 829 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.