GCD of 754, 918, 763, 852 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 754, 918, 763, 852 i.e. 1 largest integer that divides all the numbers equally.

GCD of 754, 918, 763, 852 is 1

GCD(754, 918, 763, 852) = 1

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

GCD of

GCD of numbers 754, 918, 763, 852 is 1

GCD(754, 918, 763, 852) = 1

GCD of 754,918,763,852 Calculator

GCDof 754,918,763,852 is 1

Given Input numbers are 754, 918, 763, 852

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

Divisors of 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 763

List of positive integer divisors of 763 that divides 763 without a remainder.

1, 7, 109, 763

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Greatest Common Divisior

We found the divisors of 754, 918, 763, 852 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 754, 918, 763, 852 is 1.

Therefore, GCD of numbers 754, 918, 763, 852 is 1

Finding GCD of 754, 918, 763, 852 using Prime Factorization

Given Input Data is 754, 918, 763, 852

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

Prime Factorization of 754 is 2 x 13 x 29

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

Prime Factorization of 763 is 7 x 109

Prime Factorization of 852 is 2 x 2 x 3 x 71

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

Finding GCD of 754, 918, 763, 852 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(754, 918) = 346086

GCD(754, 918) = ( 754 x 918 ) / 346086

GCD(754, 918) = 692172 / 346086

GCD(754, 918) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 763

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

LCM(2, 763) = 1526

GCD(2, 763) = ( 2 x 763 ) / 1526

GCD(2, 763) = 1526 / 1526

GCD(2, 763) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 852

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

LCM(1, 852) = 852

GCD(1, 852) = ( 1 x 852 ) / 852

GCD(1, 852) = 852 / 852

GCD(1, 852) = 1

GCD of 754, 918, 763, 852 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 754, 918, 763, 852

1. What is the GCD of 754, 918, 763, 852?

GCD of 754, 918, 763, 852 is 1


2. Where do I get the detailed procedure to find GCD of 754, 918, 763, 852?

You can find a detailed procedure to find GCD of 754, 918, 763, 852 on our page.


3. How to find GCD of 754, 918, 763, 852 on a calculator?

You can find the GCD of 754, 918, 763, 852 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.