GCD of 65, 580, 592, 682 Calculator

Given Input numbers are 65, 580, 592, 682

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

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

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 682

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

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

Greatest Common Divisior

We found the divisors of 65, 580, 592, 682 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 65, 580, 592, 682 is 1.

Therefore, GCD of numbers 65, 580, 592, 682 is 1

Given Input Data is 65, 580, 592, 682

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

Prime Factorization of 65 is 5 x 13

Prime Factorization of 580 is 2 x 2 x 5 x 29

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

Prime Factorization of 682 is 2 x 11 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(65, 580) = 7540

GCD(65, 580) = ( 65 x 580 ) / 7540

GCD(65, 580) = 37700 / 7540

GCD(65, 580) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 592

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

LCM(5, 592) = 2960

GCD(5, 592) = ( 5 x 592 ) / 2960

GCD(5, 592) = 2960 / 2960

GCD(5, 592) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 682

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

LCM(1, 682) = 682

GCD(1, 682) = ( 1 x 682 ) / 682

GCD(1, 682) = 682 / 682

GCD(1, 682) = 1

GCD of 65, 580, 592, 682 is 1

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1. What is the GCD of 65, 580, 592, 682?

GCD of 65, 580, 592, 682 is 1

2. Where do I get the detailed procedure to find GCD of 65, 580, 592, 682?

You can find a detailed procedure to find GCD of 65, 580, 592, 682 on our page.

3. How to find GCD of 65, 580, 592, 682 on a calculator?

You can find the GCD of 65, 580, 592, 682 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.