GCD of 921, 420, 95, 944 Calculator

Given Input numbers are 921, 420, 95, 944

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

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 95

List of positive integer divisors of 95 that divides 95 without a remainder.

1, 5, 19, 95

Divisors of 944

List of positive integer divisors of 944 that divides 944 without a remainder.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

Greatest Common Divisior

We found the divisors of 921, 420, 95, 944 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 921, 420, 95, 944 is 1.

Therefore, GCD of numbers 921, 420, 95, 944 is 1

Given Input Data is 921, 420, 95, 944

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

Prime Factorization of 921 is 3 x 307

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 95 is 5 x 19

Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59

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(921, 420) = 128940

GCD(921, 420) = ( 921 x 420 ) / 128940

GCD(921, 420) = 386820 / 128940

GCD(921, 420) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 95

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

LCM(3, 95) = 285

GCD(3, 95) = ( 3 x 95 ) / 285

GCD(3, 95) = 285 / 285

GCD(3, 95) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 944

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

LCM(1, 944) = 944

GCD(1, 944) = ( 1 x 944 ) / 944

GCD(1, 944) = 944 / 944

GCD(1, 944) = 1

GCD of 921, 420, 95, 944 is 1

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• GCD of 195, 171, 33, 571
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• GCD of 604, 324, 94, 797

1. What is the GCD of 921, 420, 95, 944?

GCD of 921, 420, 95, 944 is 1

2. Where do I get the detailed procedure to find GCD of 921, 420, 95, 944?

You can find a detailed procedure to find GCD of 921, 420, 95, 944 on our page.

3. How to find GCD of 921, 420, 95, 944 on a calculator?

You can find the GCD of 921, 420, 95, 944 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.