GCD of 428, 922, 637, 308 Calculator

Given Input numbers are 428, 922, 637, 308

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

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 922

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

1, 2, 461, 922

Divisors of 637

List of positive integer divisors of 637 that divides 637 without a remainder.

1, 7, 13, 49, 91, 637

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Greatest Common Divisior

We found the divisors of 428, 922, 637, 308 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 428, 922, 637, 308 is 1.

Therefore, GCD of numbers 428, 922, 637, 308 is 1

Given Input Data is 428, 922, 637, 308

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

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 922 is 2 x 461

Prime Factorization of 637 is 7 x 7 x 13

Prime Factorization of 308 is 2 x 2 x 7 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(428, 922) = 197308

GCD(428, 922) = ( 428 x 922 ) / 197308

GCD(428, 922) = 394616 / 197308

GCD(428, 922) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 637

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

LCM(2, 637) = 1274

GCD(2, 637) = ( 2 x 637 ) / 1274

GCD(2, 637) = 1274 / 1274

GCD(2, 637) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 308

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

LCM(1, 308) = 308

GCD(1, 308) = ( 1 x 308 ) / 308

GCD(1, 308) = 308 / 308

GCD(1, 308) = 1

GCD of 428, 922, 637, 308 is 1

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1. What is the GCD of 428, 922, 637, 308?

GCD of 428, 922, 637, 308 is 1

2. Where do I get the detailed procedure to find GCD of 428, 922, 637, 308?

You can find a detailed procedure to find GCD of 428, 922, 637, 308 on our page.

3. How to find GCD of 428, 922, 637, 308 on a calculator?

You can find the GCD of 428, 922, 637, 308 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.