GCD of 577, 617, 21, 868 Calculator

Given Input numbers are 577, 617, 21, 868

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

Divisors of 577

List of positive integer divisors of 577 that divides 577 without a remainder.

1, 577

Divisors of 617

List of positive integer divisors of 617 that divides 617 without a remainder.

1, 617

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Greatest Common Divisior

We found the divisors of 577, 617, 21, 868 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 577, 617, 21, 868 is 1.

Therefore, GCD of numbers 577, 617, 21, 868 is 1

Given Input Data is 577, 617, 21, 868

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

Prime Factorization of 577 is 577

Prime Factorization of 617 is 617

Prime Factorization of 21 is 3 x 7

Prime Factorization of 868 is 2 x 2 x 7 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(577, 617) = 356009

GCD(577, 617) = ( 577 x 617 ) / 356009

GCD(577, 617) = 356009 / 356009

GCD(577, 617) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 868

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

LCM(1, 868) = 868

GCD(1, 868) = ( 1 x 868 ) / 868

GCD(1, 868) = 868 / 868

GCD(1, 868) = 1

GCD of 577, 617, 21, 868 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 847, 851, 56, 350
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• GCD of 500, 110, 31, 346
• GCD of 351, 326, 57, 573
• GCD of 871, 718, 53, 825

1. What is the GCD of 577, 617, 21, 868?

GCD of 577, 617, 21, 868 is 1

2. Where do I get the detailed procedure to find GCD of 577, 617, 21, 868?

You can find a detailed procedure to find GCD of 577, 617, 21, 868 on our page.

3. How to find GCD of 577, 617, 21, 868 on a calculator?

You can find the GCD of 577, 617, 21, 868 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.