GCD of 109, 957, 683, 997 Calculator

Given Input numbers are 109, 957, 683, 997

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

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

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 683

List of positive integer divisors of 683 that divides 683 without a remainder.

1, 683

Divisors of 997

List of positive integer divisors of 997 that divides 997 without a remainder.

1, 997

Greatest Common Divisior

We found the divisors of 109, 957, 683, 997 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 109, 957, 683, 997 is 1.

Therefore, GCD of numbers 109, 957, 683, 997 is 1

Given Input Data is 109, 957, 683, 997

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

Prime Factorization of 109 is 109

Prime Factorization of 957 is 3 x 11 x 29

Prime Factorization of 683 is 683

Prime Factorization of 997 is 997

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(109, 957) = 104313

GCD(109, 957) = ( 109 x 957 ) / 104313

GCD(109, 957) = 104313 / 104313

GCD(109, 957) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 683

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

LCM(1, 683) = 683

GCD(1, 683) = ( 1 x 683 ) / 683

GCD(1, 683) = 683 / 683

GCD(1, 683) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 997

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

LCM(1, 997) = 997

GCD(1, 997) = ( 1 x 997 ) / 997

GCD(1, 997) = 997 / 997

GCD(1, 997) = 1

GCD of 109, 957, 683, 997 is 1

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1. What is the GCD of 109, 957, 683, 997?

GCD of 109, 957, 683, 997 is 1

2. Where do I get the detailed procedure to find GCD of 109, 957, 683, 997?

You can find a detailed procedure to find GCD of 109, 957, 683, 997 on our page.

3. How to find GCD of 109, 957, 683, 997 on a calculator?

You can find the GCD of 109, 957, 683, 997 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.