GCD of 654, 308, 970, 592 Calculator

Given Input numbers are 654, 308, 970, 592

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

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 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 592

List of positive integer divisors of 592 that divides 592 without a remainder.

1, 2, 4, 8, 16, 37, 74, 148, 296, 592

Greatest Common Divisior

We found the divisors of 654, 308, 970, 592 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 654, 308, 970, 592 is 2.

Therefore, GCD of numbers 654, 308, 970, 592 is 2

Given Input Data is 654, 308, 970, 592

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

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 970 is 2 x 5 x 97

Prime Factorization of 592 is 2 x 2 x 2 x 2 x 37

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(654, 308) = 100716

GCD(654, 308) = ( 654 x 308 ) / 100716

GCD(654, 308) = 201432 / 100716

GCD(654, 308) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 970

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

LCM(2, 970) = 970

GCD(2, 970) = ( 2 x 970 ) / 970

GCD(2, 970) = 1940 / 970

GCD(2, 970) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 592

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

LCM(2, 592) = 592

GCD(2, 592) = ( 2 x 592 ) / 592

GCD(2, 592) = 1184 / 592

GCD(2, 592) = 2

GCD of 654, 308, 970, 592 is 2

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1. What is the GCD of 654, 308, 970, 592?

GCD of 654, 308, 970, 592 is 2

2. Where do I get the detailed procedure to find GCD of 654, 308, 970, 592?

You can find a detailed procedure to find GCD of 654, 308, 970, 592 on our page.

3. How to find GCD of 654, 308, 970, 592 on a calculator?

You can find the GCD of 654, 308, 970, 592 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.