GCD of 920, 922, 63, 198 Calculator

Given Input numbers are 920, 922, 63, 198

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 922

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

1, 2, 461, 922

Divisors of 63

List of positive integer divisors of 63 that divides 63 without a remainder.

1, 3, 7, 9, 21, 63

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Greatest Common Divisior

We found the divisors of 920, 922, 63, 198 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 920, 922, 63, 198 is 1.

Therefore, GCD of numbers 920, 922, 63, 198 is 1

Given Input Data is 920, 922, 63, 198

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 922 is 2 x 461

Prime Factorization of 63 is 3 x 3 x 7

Prime Factorization of 198 is 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(920, 922) = 424120

GCD(920, 922) = ( 920 x 922 ) / 424120

GCD(920, 922) = 848240 / 424120

GCD(920, 922) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 63

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

LCM(2, 63) = 126

GCD(2, 63) = ( 2 x 63 ) / 126

GCD(2, 63) = 126 / 126

GCD(2, 63) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 198

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

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

GCD(1, 198) = 198 / 198

GCD(1, 198) = 1

GCD of 920, 922, 63, 198 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 715, 341, 72, 291
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• GCD of 493, 668, 16, 323
• GCD of 330, 859, 50, 903

1. What is the GCD of 920, 922, 63, 198?

GCD of 920, 922, 63, 198 is 1

2. Where do I get the detailed procedure to find GCD of 920, 922, 63, 198?

You can find a detailed procedure to find GCD of 920, 922, 63, 198 on our page.

3. How to find GCD of 920, 922, 63, 198 on a calculator?

You can find the GCD of 920, 922, 63, 198 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.