GCD of 952, 712, 88, 898 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, 712, 88, 898 i.e. 2 largest integer that divides all the numbers equally.

GCD of 952, 712, 88, 898 is 2

GCD(952, 712, 88, 898) = 2

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

GCD of

GCD of numbers 952, 712, 88, 898 is 2

GCD(952, 712, 88, 898) = 2

GCD of 952,712,88,898 Calculator

GCDof 952,712,88,898 is 2

Given Input numbers are 952, 712, 88, 898

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 712

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

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

Divisors of 88

List of positive integer divisors of 88 that divides 88 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Greatest Common Divisior

We found the divisors of 952, 712, 88, 898 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 952, 712, 88, 898 is 2.

Therefore, GCD of numbers 952, 712, 88, 898 is 2

Finding GCD of 952, 712, 88, 898 using Prime Factorization

Given Input Data is 952, 712, 88, 898

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 712 is 2 x 2 x 2 x 89

Prime Factorization of 88 is 2 x 2 x 2 x 11

Prime Factorization of 898 is 2 x 449

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 952, 712, 88, 898 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, 712) = 84728

GCD(952, 712) = ( 952 x 712 ) / 84728

GCD(952, 712) = 677824 / 84728

GCD(952, 712) = 8


Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 88

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

LCM(8, 88) = 88

GCD(8, 88) = ( 8 x 88 ) / 88

GCD(8, 88) = 704 / 88

GCD(8, 88) = 8


Step3:

Here we consider the GCD from the above i.e. 8 as first number and the next as 898

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

LCM(8, 898) = 3592

GCD(8, 898) = ( 8 x 898 ) / 3592

GCD(8, 898) = 7184 / 3592

GCD(8, 898) = 2

GCD of 952, 712, 88, 898 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 952, 712, 88, 898

1. What is the GCD of 952, 712, 88, 898?

GCD of 952, 712, 88, 898 is 2


2. Where do I get the detailed procedure to find GCD of 952, 712, 88, 898?

You can find a detailed procedure to find GCD of 952, 712, 88, 898 on our page.


3. How to find GCD of 952, 712, 88, 898 on a calculator?

You can find the GCD of 952, 712, 88, 898 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.