GCD of 969, 654, 596, 930 Calculator

Given Input numbers are 969, 654, 596, 930

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 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 596

List of positive integer divisors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

Divisors of 930

List of positive integer divisors of 930 that divides 930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

Greatest Common Divisior

We found the divisors of 969, 654, 596, 930 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 969, 654, 596, 930 is 1.

Therefore, GCD of numbers 969, 654, 596, 930 is 1

Given Input Data is 969, 654, 596, 930

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 654 is 2 x 3 x 109

Prime Factorization of 596 is 2 x 2 x 149

Prime Factorization of 930 is 2 x 3 x 5 x 31

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, 654) = 211242

GCD(969, 654) = ( 969 x 654 ) / 211242

GCD(969, 654) = 633726 / 211242

GCD(969, 654) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 596

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

LCM(3, 596) = 1788

GCD(3, 596) = ( 3 x 596 ) / 1788

GCD(3, 596) = 1788 / 1788

GCD(3, 596) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 930

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

LCM(1, 930) = 930

GCD(1, 930) = ( 1 x 930 ) / 930

GCD(1, 930) = 930 / 930

GCD(1, 930) = 1

GCD of 969, 654, 596, 930 is 1

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1. What is the GCD of 969, 654, 596, 930?

GCD of 969, 654, 596, 930 is 1

2. Where do I get the detailed procedure to find GCD of 969, 654, 596, 930?

You can find a detailed procedure to find GCD of 969, 654, 596, 930 on our page.

3. How to find GCD of 969, 654, 596, 930 on a calculator?

You can find the GCD of 969, 654, 596, 930 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.