GCD of 21, 454, 995, 940 Calculator

Given Input numbers are 21, 454, 995, 940

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 454

List of positive integer divisors of 454 that divides 454 without a remainder.

1, 2, 227, 454

Divisors of 995

List of positive integer divisors of 995 that divides 995 without a remainder.

1, 5, 199, 995

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Greatest Common Divisior

We found the divisors of 21, 454, 995, 940 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 21, 454, 995, 940 is 1.

Therefore, GCD of numbers 21, 454, 995, 940 is 1

Given Input Data is 21, 454, 995, 940

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

Prime Factorization of 21 is 3 x 7

Prime Factorization of 454 is 2 x 227

Prime Factorization of 995 is 5 x 199

Prime Factorization of 940 is 2 x 2 x 5 x 47

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, 454) = 9534

GCD(21, 454) = ( 21 x 454 ) / 9534

GCD(21, 454) = 9534 / 9534

GCD(21, 454) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 995

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

LCM(1, 995) = 995

GCD(1, 995) = ( 1 x 995 ) / 995

GCD(1, 995) = 995 / 995

GCD(1, 995) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 940

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

LCM(1, 940) = 940

GCD(1, 940) = ( 1 x 940 ) / 940

GCD(1, 940) = 940 / 940

GCD(1, 940) = 1

GCD of 21, 454, 995, 940 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 99, 747, 227, 815
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• GCD of 65, 819, 418, 263

1. What is the GCD of 21, 454, 995, 940?

GCD of 21, 454, 995, 940 is 1

2. Where do I get the detailed procedure to find GCD of 21, 454, 995, 940?

You can find a detailed procedure to find GCD of 21, 454, 995, 940 on our page.

3. How to find GCD of 21, 454, 995, 940 on a calculator?

You can find the GCD of 21, 454, 995, 940 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.