GCD of 21, 866, 980, 584 Calculator

Given Input numbers are 21, 866, 980, 584

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

Divisors of 21

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

1, 3, 7, 21

Divisors of 866

List of positive integer divisors of 866 that divides 866 without a remainder.

1, 2, 433, 866

Divisors of 980

List of positive integer divisors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 584

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

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

Greatest Common Divisior

We found the divisors of 21, 866, 980, 584 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 21, 866, 980, 584 is 1.

Therefore, GCD of numbers 21, 866, 980, 584 is 1

Given Input Data is 21, 866, 980, 584

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

Prime Factorization of 21 is 3 x 7

Prime Factorization of 866 is 2 x 433

Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7

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

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(21, 866) = 18186

GCD(21, 866) = ( 21 x 866 ) / 18186

GCD(21, 866) = 18186 / 18186

GCD(21, 866) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 980

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

LCM(1, 980) = 980

GCD(1, 980) = ( 1 x 980 ) / 980

GCD(1, 980) = 980 / 980

GCD(1, 980) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 584

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

LCM(1, 584) = 584

GCD(1, 584) = ( 1 x 584 ) / 584

GCD(1, 584) = 584 / 584

GCD(1, 584) = 1

GCD of 21, 866, 980, 584 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 43, 648, 431, 679
• GCD of 19, 992, 280, 662
• GCD of 21, 558, 198, 596
• GCD of 34, 687, 411, 421
• GCD of 76, 953, 749, 418

1. What is the GCD of 21, 866, 980, 584?

GCD of 21, 866, 980, 584 is 1

2. Where do I get the detailed procedure to find GCD of 21, 866, 980, 584?

You can find a detailed procedure to find GCD of 21, 866, 980, 584 on our page.

3. How to find GCD of 21, 866, 980, 584 on a calculator?

You can find the GCD of 21, 866, 980, 584 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.