GCD of 21, 977, 788, 825 Calculator

Given Input numbers are 21, 977, 788, 825

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 977

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

1, 977

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Greatest Common Divisior

We found the divisors of 21, 977, 788, 825 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 21, 977, 788, 825 is 1.

Therefore, GCD of numbers 21, 977, 788, 825 is 1

Given Input Data is 21, 977, 788, 825

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

Prime Factorization of 21 is 3 x 7

Prime Factorization of 977 is 977

Prime Factorization of 788 is 2 x 2 x 197

Prime Factorization of 825 is 3 x 5 x 5 x 11

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, 977) = 20517

GCD(21, 977) = ( 21 x 977 ) / 20517

GCD(21, 977) = 20517 / 20517

GCD(21, 977) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 788

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

LCM(1, 788) = 788

GCD(1, 788) = ( 1 x 788 ) / 788

GCD(1, 788) = 788 / 788

GCD(1, 788) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 825

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

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

GCD(1, 825) = 825 / 825

GCD(1, 825) = 1

GCD of 21, 977, 788, 825 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 21, 615, 794, 732
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• GCD of 40, 878, 183, 245
• GCD of 34, 586, 325, 588
• GCD of 59, 379, 163, 837

1. What is the GCD of 21, 977, 788, 825?

GCD of 21, 977, 788, 825 is 1

2. Where do I get the detailed procedure to find GCD of 21, 977, 788, 825?

You can find a detailed procedure to find GCD of 21, 977, 788, 825 on our page.

3. How to find GCD of 21, 977, 788, 825 on a calculator?

You can find the GCD of 21, 977, 788, 825 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.