GCD of 969, 957, 775, 956 Calculator

Given Input numbers are 969, 957, 775, 956

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

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

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 775

List of positive integer divisors of 775 that divides 775 without a remainder.

1, 5, 25, 31, 155, 775

Divisors of 956

List of positive integer divisors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

Greatest Common Divisior

We found the divisors of 969, 957, 775, 956 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 969, 957, 775, 956 is 1.

Therefore, GCD of numbers 969, 957, 775, 956 is 1

Given Input Data is 969, 957, 775, 956

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

Prime Factorization of 969 is 3 x 17 x 19

Prime Factorization of 957 is 3 x 11 x 29

Prime Factorization of 775 is 5 x 5 x 31

Prime Factorization of 956 is 2 x 2 x 239

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(969, 957) = 309111

GCD(969, 957) = ( 969 x 957 ) / 309111

GCD(969, 957) = 927333 / 309111

GCD(969, 957) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 775

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

LCM(3, 775) = 2325

GCD(3, 775) = ( 3 x 775 ) / 2325

GCD(3, 775) = 2325 / 2325

GCD(3, 775) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 956

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

LCM(1, 956) = 956

GCD(1, 956) = ( 1 x 956 ) / 956

GCD(1, 956) = 956 / 956

GCD(1, 956) = 1

GCD of 969, 957, 775, 956 is 1

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1. What is the GCD of 969, 957, 775, 956?

GCD of 969, 957, 775, 956 is 1

2. Where do I get the detailed procedure to find GCD of 969, 957, 775, 956?

You can find a detailed procedure to find GCD of 969, 957, 775, 956 on our page.

3. How to find GCD of 969, 957, 775, 956 on a calculator?

You can find the GCD of 969, 957, 775, 956 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.