GCD of 974, 965, 884, 957 Calculator

Given Input numbers are 974, 965, 884, 957

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

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 965

List of positive integer divisors of 965 that divides 965 without a remainder.

1, 5, 193, 965

Divisors of 884

List of positive integer divisors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Divisors of 957

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

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

Greatest Common Divisior

We found the divisors of 974, 965, 884, 957 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 974, 965, 884, 957 is 1.

Therefore, GCD of numbers 974, 965, 884, 957 is 1

Given Input Data is 974, 965, 884, 957

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

Prime Factorization of 974 is 2 x 487

Prime Factorization of 965 is 5 x 193

Prime Factorization of 884 is 2 x 2 x 13 x 17

Prime Factorization of 957 is 3 x 11 x 29

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(974, 965) = 939910

GCD(974, 965) = ( 974 x 965 ) / 939910

GCD(974, 965) = 939910 / 939910

GCD(974, 965) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 884

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

LCM(1, 884) = 884

GCD(1, 884) = ( 1 x 884 ) / 884

GCD(1, 884) = 884 / 884

GCD(1, 884) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 957

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

LCM(1, 957) = 957

GCD(1, 957) = ( 1 x 957 ) / 957

GCD(1, 957) = 957 / 957

GCD(1, 957) = 1

GCD of 974, 965, 884, 957 is 1

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1. What is the GCD of 974, 965, 884, 957?

GCD of 974, 965, 884, 957 is 1

2. Where do I get the detailed procedure to find GCD of 974, 965, 884, 957?

You can find a detailed procedure to find GCD of 974, 965, 884, 957 on our page.

3. How to find GCD of 974, 965, 884, 957 on a calculator?

You can find the GCD of 974, 965, 884, 957 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.