GCD of 21, 440, 104, 971 Calculator

Given Input numbers are 21, 440, 104, 971

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 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Greatest Common Divisior

We found the divisors of 21, 440, 104, 971 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 21, 440, 104, 971 is 1.

Therefore, GCD of numbers 21, 440, 104, 971 is 1

Given Input Data is 21, 440, 104, 971

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

Prime Factorization of 21 is 3 x 7

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

Prime Factorization of 104 is 2 x 2 x 2 x 13

Prime Factorization of 971 is 971

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, 440) = 9240

GCD(21, 440) = ( 21 x 440 ) / 9240

GCD(21, 440) = 9240 / 9240

GCD(21, 440) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 104

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

LCM(1, 104) = 104

GCD(1, 104) = ( 1 x 104 ) / 104

GCD(1, 104) = 104 / 104

GCD(1, 104) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 971

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

LCM(1, 971) = 971

GCD(1, 971) = ( 1 x 971 ) / 971

GCD(1, 971) = 971 / 971

GCD(1, 971) = 1

GCD of 21, 440, 104, 971 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 56, 826, 997, 313
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• GCD of 57, 537, 788, 653

1. What is the GCD of 21, 440, 104, 971?

GCD of 21, 440, 104, 971 is 1

2. Where do I get the detailed procedure to find GCD of 21, 440, 104, 971?

You can find a detailed procedure to find GCD of 21, 440, 104, 971 on our page.

3. How to find GCD of 21, 440, 104, 971 on a calculator?

You can find the GCD of 21, 440, 104, 971 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.