GCD of 361, 812, 920, 126 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 361, 812, 920, 126 i.e. 1 largest integer that divides all the numbers equally.

GCD of 361, 812, 920, 126 is 1

GCD(361, 812, 920, 126) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 361, 812, 920, 126 is 1

GCD(361, 812, 920, 126) = 1

GCD of 361,812,920,126 Calculator

GCDof 361,812,920,126 is 1

Given Input numbers are 361, 812, 920, 126

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

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Divisors of 812

List of positive integer divisors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

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 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Greatest Common Divisior

We found the divisors of 361, 812, 920, 126 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 361, 812, 920, 126 is 1.

Therefore, GCD of numbers 361, 812, 920, 126 is 1

Finding GCD of 361, 812, 920, 126 using Prime Factorization

Given Input Data is 361, 812, 920, 126

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

Prime Factorization of 361 is 19 x 19

Prime Factorization of 812 is 2 x 2 x 7 x 29

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

Prime Factorization of 126 is 2 x 3 x 3 x 7

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 361, 812, 920, 126 using LCM Formula

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(361, 812) = 293132

GCD(361, 812) = ( 361 x 812 ) / 293132

GCD(361, 812) = 293132 / 293132

GCD(361, 812) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 920

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

LCM(1, 920) = 920

GCD(1, 920) = ( 1 x 920 ) / 920

GCD(1, 920) = 920 / 920

GCD(1, 920) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 126

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

LCM(1, 126) = 126

GCD(1, 126) = ( 1 x 126 ) / 126

GCD(1, 126) = 126 / 126

GCD(1, 126) = 1

GCD of 361, 812, 920, 126 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 361, 812, 920, 126

1. What is the GCD of 361, 812, 920, 126?

GCD of 361, 812, 920, 126 is 1


2. Where do I get the detailed procedure to find GCD of 361, 812, 920, 126?

You can find a detailed procedure to find GCD of 361, 812, 920, 126 on our page.


3. How to find GCD of 361, 812, 920, 126 on a calculator?

You can find the GCD of 361, 812, 920, 126 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.