GCD of 922, 517, 420, 396 Calculator

Given Input numbers are 922, 517, 420, 396

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

Divisors of 922

List of positive integer divisors of 922 that divides 922 without a remainder.

1, 2, 461, 922

Divisors of 517

List of positive integer divisors of 517 that divides 517 without a remainder.

1, 11, 47, 517

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 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Greatest Common Divisior

We found the divisors of 922, 517, 420, 396 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 922, 517, 420, 396 is 1.

Therefore, GCD of numbers 922, 517, 420, 396 is 1

Given Input Data is 922, 517, 420, 396

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

Prime Factorization of 922 is 2 x 461

Prime Factorization of 517 is 11 x 47

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

Prime Factorization of 396 is 2 x 2 x 3 x 3 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(922, 517) = 476674

GCD(922, 517) = ( 922 x 517 ) / 476674

GCD(922, 517) = 476674 / 476674

GCD(922, 517) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 420

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

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

GCD(1, 420) = 420 / 420

GCD(1, 420) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 396

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

LCM(1, 396) = 396

GCD(1, 396) = ( 1 x 396 ) / 396

GCD(1, 396) = 396 / 396

GCD(1, 396) = 1

GCD of 922, 517, 420, 396 is 1

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1. What is the GCD of 922, 517, 420, 396?

GCD of 922, 517, 420, 396 is 1

2. Where do I get the detailed procedure to find GCD of 922, 517, 420, 396?

You can find a detailed procedure to find GCD of 922, 517, 420, 396 on our page.

3. How to find GCD of 922, 517, 420, 396 on a calculator?

You can find the GCD of 922, 517, 420, 396 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.