GCD of 622, 252, 957, 689 Calculator

Given Input numbers are 622, 252, 957, 689

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

Divisors of 622

List of positive integer divisors of 622 that divides 622 without a remainder.

1, 2, 311, 622

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 957

List of positive integer divisors of 957 that divides 957 without a remainder.

1, 3, 11, 29, 33, 87, 319, 957

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Greatest Common Divisior

We found the divisors of 622, 252, 957, 689 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 622, 252, 957, 689 is 1.

Therefore, GCD of numbers 622, 252, 957, 689 is 1

Given Input Data is 622, 252, 957, 689

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

Prime Factorization of 622 is 2 x 311

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

Prime Factorization of 957 is 3 x 11 x 29

Prime Factorization of 689 is 13 x 53

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(622, 252) = 78372

GCD(622, 252) = ( 622 x 252 ) / 78372

GCD(622, 252) = 156744 / 78372

GCD(622, 252) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 957

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

LCM(2, 957) = 1914

GCD(2, 957) = ( 2 x 957 ) / 1914

GCD(2, 957) = 1914 / 1914

GCD(2, 957) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 689

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

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

GCD(1, 689) = 689 / 689

GCD(1, 689) = 1

GCD of 622, 252, 957, 689 is 1

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1. What is the GCD of 622, 252, 957, 689?

GCD of 622, 252, 957, 689 is 1

2. Where do I get the detailed procedure to find GCD of 622, 252, 957, 689?

You can find a detailed procedure to find GCD of 622, 252, 957, 689 on our page.

3. How to find GCD of 622, 252, 957, 689 on a calculator?

You can find the GCD of 622, 252, 957, 689 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.