GCD of 892, 426, 71, 936 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 892, 426, 71, 936 i.e. 1 largest integer that divides all the numbers equally.

GCD of 892, 426, 71, 936 is 1

GCD(892, 426, 71, 936) = 1

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

GCD of

GCD of numbers 892, 426, 71, 936 is 1

GCD(892, 426, 71, 936) = 1

GCD of 892,426,71,936 Calculator

GCDof 892,426,71,936 is 1

Given Input numbers are 892, 426, 71, 936

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

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Divisors of 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 936

List of positive integer divisors of 936 that divides 936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Greatest Common Divisior

We found the divisors of 892, 426, 71, 936 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 892, 426, 71, 936 is 1.

Therefore, GCD of numbers 892, 426, 71, 936 is 1

Finding GCD of 892, 426, 71, 936 using Prime Factorization

Given Input Data is 892, 426, 71, 936

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

Prime Factorization of 892 is 2 x 2 x 223

Prime Factorization of 426 is 2 x 3 x 71

Prime Factorization of 71 is 71

Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13

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

Finding GCD of 892, 426, 71, 936 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(892, 426) = 189996

GCD(892, 426) = ( 892 x 426 ) / 189996

GCD(892, 426) = 379992 / 189996

GCD(892, 426) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 71

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

LCM(2, 71) = 142

GCD(2, 71) = ( 2 x 71 ) / 142

GCD(2, 71) = 142 / 142

GCD(2, 71) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 936

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

LCM(1, 936) = 936

GCD(1, 936) = ( 1 x 936 ) / 936

GCD(1, 936) = 936 / 936

GCD(1, 936) = 1

GCD of 892, 426, 71, 936 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 892, 426, 71, 936

1. What is the GCD of 892, 426, 71, 936?

GCD of 892, 426, 71, 936 is 1


2. Where do I get the detailed procedure to find GCD of 892, 426, 71, 936?

You can find a detailed procedure to find GCD of 892, 426, 71, 936 on our page.


3. How to find GCD of 892, 426, 71, 936 on a calculator?

You can find the GCD of 892, 426, 71, 936 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.