GCD of 756, 123, 92, 802 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 756, 123, 92, 802 i.e. 1 largest integer that divides all the numbers equally.

GCD of 756, 123, 92, 802 is 1

GCD(756, 123, 92, 802) = 1

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

GCD of

GCD of numbers 756, 123, 92, 802 is 1

GCD(756, 123, 92, 802) = 1

GCD of 756,123,92,802 Calculator

GCDof 756,123,92,802 is 1

Given Input numbers are 756, 123, 92, 802

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

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Divisors of 92

List of positive integer divisors of 92 that divides 92 without a remainder.

1, 2, 4, 23, 46, 92

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Greatest Common Divisior

We found the divisors of 756, 123, 92, 802 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 756, 123, 92, 802 is 1.

Therefore, GCD of numbers 756, 123, 92, 802 is 1

Finding GCD of 756, 123, 92, 802 using Prime Factorization

Given Input Data is 756, 123, 92, 802

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

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 123 is 3 x 41

Prime Factorization of 92 is 2 x 2 x 23

Prime Factorization of 802 is 2 x 401

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

Finding GCD of 756, 123, 92, 802 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(756, 123) = 30996

GCD(756, 123) = ( 756 x 123 ) / 30996

GCD(756, 123) = 92988 / 30996

GCD(756, 123) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 92

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

LCM(3, 92) = 276

GCD(3, 92) = ( 3 x 92 ) / 276

GCD(3, 92) = 276 / 276

GCD(3, 92) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 802

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

LCM(1, 802) = 802

GCD(1, 802) = ( 1 x 802 ) / 802

GCD(1, 802) = 802 / 802

GCD(1, 802) = 1

GCD of 756, 123, 92, 802 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 756, 123, 92, 802

1. What is the GCD of 756, 123, 92, 802?

GCD of 756, 123, 92, 802 is 1


2. Where do I get the detailed procedure to find GCD of 756, 123, 92, 802?

You can find a detailed procedure to find GCD of 756, 123, 92, 802 on our page.


3. How to find GCD of 756, 123, 92, 802 on a calculator?

You can find the GCD of 756, 123, 92, 802 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.