GCD of 853, 748, 125, 712 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 853, 748, 125, 712 i.e. 1 largest integer that divides all the numbers equally.

GCD of 853, 748, 125, 712 is 1

GCD(853, 748, 125, 712) = 1

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

GCD of

GCD of numbers 853, 748, 125, 712 is 1

GCD(853, 748, 125, 712) = 1

GCD of 853,748,125,712 Calculator

GCDof 853,748,125,712 is 1

Given Input numbers are 853, 748, 125, 712

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

Divisors of 853

List of positive integer divisors of 853 that divides 853 without a remainder.

1, 853

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 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Greatest Common Divisior

We found the divisors of 853, 748, 125, 712 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 853, 748, 125, 712 is 1.

Therefore, GCD of numbers 853, 748, 125, 712 is 1

Finding GCD of 853, 748, 125, 712 using Prime Factorization

Given Input Data is 853, 748, 125, 712

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

Prime Factorization of 853 is 853

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

Prime Factorization of 125 is 5 x 5 x 5

Prime Factorization of 712 is 2 x 2 x 2 x 89

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

Finding GCD of 853, 748, 125, 712 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(853, 748) = 638044

GCD(853, 748) = ( 853 x 748 ) / 638044

GCD(853, 748) = 638044 / 638044

GCD(853, 748) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 125

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

LCM(1, 125) = 125

GCD(1, 125) = ( 1 x 125 ) / 125

GCD(1, 125) = 125 / 125

GCD(1, 125) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 712

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

LCM(1, 712) = 712

GCD(1, 712) = ( 1 x 712 ) / 712

GCD(1, 712) = 712 / 712

GCD(1, 712) = 1

GCD of 853, 748, 125, 712 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 853, 748, 125, 712

1. What is the GCD of 853, 748, 125, 712?

GCD of 853, 748, 125, 712 is 1


2. Where do I get the detailed procedure to find GCD of 853, 748, 125, 712?

You can find a detailed procedure to find GCD of 853, 748, 125, 712 on our page.


3. How to find GCD of 853, 748, 125, 712 on a calculator?

You can find the GCD of 853, 748, 125, 712 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.