GCD of 592, 970, 682, 602 Calculator

Given Input numbers are 592, 970, 682, 602

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

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

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 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 602

List of positive integer divisors of 602 that divides 602 without a remainder.

1, 2, 7, 14, 43, 86, 301, 602

Greatest Common Divisior

We found the divisors of 592, 970, 682, 602 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 592, 970, 682, 602 is 2.

Therefore, GCD of numbers 592, 970, 682, 602 is 2

Given Input Data is 592, 970, 682, 602

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

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

Prime Factorization of 970 is 2 x 5 x 97

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 602 is 2 x 7 x 43

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(592, 970) = 287120

GCD(592, 970) = ( 592 x 970 ) / 287120

GCD(592, 970) = 574240 / 287120

GCD(592, 970) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 682

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

LCM(2, 682) = 682

GCD(2, 682) = ( 2 x 682 ) / 682

GCD(2, 682) = 1364 / 682

GCD(2, 682) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 602

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

LCM(2, 602) = 602

GCD(2, 602) = ( 2 x 602 ) / 602

GCD(2, 602) = 1204 / 602

GCD(2, 602) = 2

GCD of 592, 970, 682, 602 is 2

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1. What is the GCD of 592, 970, 682, 602?

GCD of 592, 970, 682, 602 is 2

2. Where do I get the detailed procedure to find GCD of 592, 970, 682, 602?

You can find a detailed procedure to find GCD of 592, 970, 682, 602 on our page.

3. How to find GCD of 592, 970, 682, 602 on a calculator?

You can find the GCD of 592, 970, 682, 602 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.