GCD of 920, 252, 49, 922 Calculator

Given Input numbers are 920, 252, 49, 922

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

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 922

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

1, 2, 461, 922

Greatest Common Divisior

We found the divisors of 920, 252, 49, 922 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 920, 252, 49, 922 is 1.

Therefore, GCD of numbers 920, 252, 49, 922 is 1

Given Input Data is 920, 252, 49, 922

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

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

Prime Factorization of 49 is 7 x 7

Prime Factorization of 922 is 2 x 461

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(920, 252) = 57960

GCD(920, 252) = ( 920 x 252 ) / 57960

GCD(920, 252) = 231840 / 57960

GCD(920, 252) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 49

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

LCM(4, 49) = 196

GCD(4, 49) = ( 4 x 49 ) / 196

GCD(4, 49) = 196 / 196

GCD(4, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 922

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

LCM(1, 922) = 922

GCD(1, 922) = ( 1 x 922 ) / 922

GCD(1, 922) = 922 / 922

GCD(1, 922) = 1

GCD of 920, 252, 49, 922 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 362, 220, 43, 959
• GCD of 368, 333, 54, 942
• GCD of 743, 890, 57, 322
• GCD of 335, 722, 55, 103
• GCD of 735, 838, 38, 777

1. What is the GCD of 920, 252, 49, 922?

GCD of 920, 252, 49, 922 is 1

2. Where do I get the detailed procedure to find GCD of 920, 252, 49, 922?

You can find a detailed procedure to find GCD of 920, 252, 49, 922 on our page.

3. How to find GCD of 920, 252, 49, 922 on a calculator?

You can find the GCD of 920, 252, 49, 922 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.