GCD of 584, 977, 21, 709 Calculator

Given Input numbers are 584, 977, 21, 709

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

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 977

List of positive integer divisors of 977 that divides 977 without a remainder.

1, 977

Divisors of 21

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

1, 3, 7, 21

Divisors of 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

Greatest Common Divisior

We found the divisors of 584, 977, 21, 709 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 584, 977, 21, 709 is 1.

Therefore, GCD of numbers 584, 977, 21, 709 is 1

Given Input Data is 584, 977, 21, 709

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

Prime Factorization of 584 is 2 x 2 x 2 x 73

Prime Factorization of 977 is 977

Prime Factorization of 21 is 3 x 7

Prime Factorization of 709 is 709

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(584, 977) = 570568

GCD(584, 977) = ( 584 x 977 ) / 570568

GCD(584, 977) = 570568 / 570568

GCD(584, 977) = 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 709

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

LCM(1, 709) = 709

GCD(1, 709) = ( 1 x 709 ) / 709

GCD(1, 709) = 709 / 709

GCD(1, 709) = 1

GCD of 584, 977, 21, 709 is 1

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• GCD of 557, 407, 71, 339
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1. What is the GCD of 584, 977, 21, 709?

GCD of 584, 977, 21, 709 is 1

2. Where do I get the detailed procedure to find GCD of 584, 977, 21, 709?

You can find a detailed procedure to find GCD of 584, 977, 21, 709 on our page.

3. How to find GCD of 584, 977, 21, 709 on a calculator?

You can find the GCD of 584, 977, 21, 709 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.