GCD of 676, 920, 97, 969 Calculator

Given Input numbers are 676, 920, 97, 969

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

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 97

List of positive integer divisors of 97 that divides 97 without a remainder.

1, 97

Divisors of 969

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

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

Greatest Common Divisior

We found the divisors of 676, 920, 97, 969 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 676, 920, 97, 969 is 1.

Therefore, GCD of numbers 676, 920, 97, 969 is 1

Given Input Data is 676, 920, 97, 969

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

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 97 is 97

Prime Factorization of 969 is 3 x 17 x 19

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(676, 920) = 155480

GCD(676, 920) = ( 676 x 920 ) / 155480

GCD(676, 920) = 621920 / 155480

GCD(676, 920) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 97

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

LCM(4, 97) = 388

GCD(4, 97) = ( 4 x 97 ) / 388

GCD(4, 97) = 388 / 388

GCD(4, 97) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 969

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

LCM(1, 969) = 969

GCD(1, 969) = ( 1 x 969 ) / 969

GCD(1, 969) = 969 / 969

GCD(1, 969) = 1

GCD of 676, 920, 97, 969 is 1

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1. What is the GCD of 676, 920, 97, 969?

GCD of 676, 920, 97, 969 is 1

2. Where do I get the detailed procedure to find GCD of 676, 920, 97, 969?

You can find a detailed procedure to find GCD of 676, 920, 97, 969 on our page.

3. How to find GCD of 676, 920, 97, 969 on a calculator?

You can find the GCD of 676, 920, 97, 969 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.