GCD of 316, 758, 630, 238 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 316, 758, 630, 238 i.e. 2 largest integer that divides all the numbers equally.

GCD of 316, 758, 630, 238 is 2

GCD(316, 758, 630, 238) = 2

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

GCD of

GCD of numbers 316, 758, 630, 238 is 2

GCD(316, 758, 630, 238) = 2

GCD of 316,758,630,238 Calculator

GCDof 316,758,630,238 is 2

Given Input numbers are 316, 758, 630, 238

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

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Divisors of 630

List of positive integer divisors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Greatest Common Divisior

We found the divisors of 316, 758, 630, 238 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 316, 758, 630, 238 is 2.

Therefore, GCD of numbers 316, 758, 630, 238 is 2

Finding GCD of 316, 758, 630, 238 using Prime Factorization

Given Input Data is 316, 758, 630, 238

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

Prime Factorization of 316 is 2 x 2 x 79

Prime Factorization of 758 is 2 x 379

Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7

Prime Factorization of 238 is 2 x 7 x 17

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 316, 758, 630, 238 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(316, 758) = 119764

GCD(316, 758) = ( 316 x 758 ) / 119764

GCD(316, 758) = 239528 / 119764

GCD(316, 758) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 630

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

LCM(2, 630) = 630

GCD(2, 630) = ( 2 x 630 ) / 630

GCD(2, 630) = 1260 / 630

GCD(2, 630) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 238

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

LCM(2, 238) = 238

GCD(2, 238) = ( 2 x 238 ) / 238

GCD(2, 238) = 476 / 238

GCD(2, 238) = 2

GCD of 316, 758, 630, 238 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 316, 758, 630, 238

1. What is the GCD of 316, 758, 630, 238?

GCD of 316, 758, 630, 238 is 2


2. Where do I get the detailed procedure to find GCD of 316, 758, 630, 238?

You can find a detailed procedure to find GCD of 316, 758, 630, 238 on our page.


3. How to find GCD of 316, 758, 630, 238 on a calculator?

You can find the GCD of 316, 758, 630, 238 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.