GCD of 952, 353, 31, 675 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 952, 353, 31, 675 i.e. 1 largest integer that divides all the numbers equally.

GCD of 952, 353, 31, 675 is 1

GCD(952, 353, 31, 675) = 1

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

GCD of

GCD of numbers 952, 353, 31, 675 is 1

GCD(952, 353, 31, 675) = 1

GCD of 952,353,31,675 Calculator

GCDof 952,353,31,675 is 1

Given Input numbers are 952, 353, 31, 675

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

Divisors of 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

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

Greatest Common Divisior

We found the divisors of 952, 353, 31, 675 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 952, 353, 31, 675 is 1.

Therefore, GCD of numbers 952, 353, 31, 675 is 1

Finding GCD of 952, 353, 31, 675 using Prime Factorization

Given Input Data is 952, 353, 31, 675

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

Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17

Prime Factorization of 353 is 353

Prime Factorization of 31 is 31

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

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

Finding GCD of 952, 353, 31, 675 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(952, 353) = 336056

GCD(952, 353) = ( 952 x 353 ) / 336056

GCD(952, 353) = 336056 / 336056

GCD(952, 353) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

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

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

GCD(1, 31) = 31 / 31

GCD(1, 31) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 675

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

LCM(1, 675) = 675

GCD(1, 675) = ( 1 x 675 ) / 675

GCD(1, 675) = 675 / 675

GCD(1, 675) = 1

GCD of 952, 353, 31, 675 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 952, 353, 31, 675

1. What is the GCD of 952, 353, 31, 675?

GCD of 952, 353, 31, 675 is 1


2. Where do I get the detailed procedure to find GCD of 952, 353, 31, 675?

You can find a detailed procedure to find GCD of 952, 353, 31, 675 on our page.


3. How to find GCD of 952, 353, 31, 675 on a calculator?

You can find the GCD of 952, 353, 31, 675 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.