GCD of 675, 748, 85, 868 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 675, 748, 85, 868 i.e. 1 largest integer that divides all the numbers equally.

GCD of 675, 748, 85, 868 is 1

GCD(675, 748, 85, 868) = 1

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

GCD of

GCD of numbers 675, 748, 85, 868 is 1

GCD(675, 748, 85, 868) = 1

GCD of 675,748,85,868 Calculator

GCDof 675,748,85,868 is 1

Given Input numbers are 675, 748, 85, 868

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

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Greatest Common Divisior

We found the divisors of 675, 748, 85, 868 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 675, 748, 85, 868 is 1.

Therefore, GCD of numbers 675, 748, 85, 868 is 1

Finding GCD of 675, 748, 85, 868 using Prime Factorization

Given Input Data is 675, 748, 85, 868

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

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 85 is 5 x 17

Prime Factorization of 868 is 2 x 2 x 7 x 31

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

Finding GCD of 675, 748, 85, 868 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(675, 748) = 504900

GCD(675, 748) = ( 675 x 748 ) / 504900

GCD(675, 748) = 504900 / 504900

GCD(675, 748) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 85

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

LCM(1, 85) = 85

GCD(1, 85) = ( 1 x 85 ) / 85

GCD(1, 85) = 85 / 85

GCD(1, 85) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 868

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

LCM(1, 868) = 868

GCD(1, 868) = ( 1 x 868 ) / 868

GCD(1, 868) = 868 / 868

GCD(1, 868) = 1

GCD of 675, 748, 85, 868 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 675, 748, 85, 868

1. What is the GCD of 675, 748, 85, 868?

GCD of 675, 748, 85, 868 is 1


2. Where do I get the detailed procedure to find GCD of 675, 748, 85, 868?

You can find a detailed procedure to find GCD of 675, 748, 85, 868 on our page.


3. How to find GCD of 675, 748, 85, 868 on a calculator?

You can find the GCD of 675, 748, 85, 868 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.