GCD of 628, 182, 718, 948 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 628, 182, 718, 948 i.e. 2 largest integer that divides all the numbers equally.

GCD of 628, 182, 718, 948 is 2

GCD(628, 182, 718, 948) = 2

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

GCD of

GCD of numbers 628, 182, 718, 948 is 2

GCD(628, 182, 718, 948) = 2

GCD of 628,182,718,948 Calculator

GCDof 628,182,718,948 is 2

Given Input numbers are 628, 182, 718, 948

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

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Divisors of 182

List of positive integer divisors of 182 that divides 182 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 718

List of positive integer divisors of 718 that divides 718 without a remainder.

1, 2, 359, 718

Divisors of 948

List of positive integer divisors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Greatest Common Divisior

We found the divisors of 628, 182, 718, 948 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 628, 182, 718, 948 is 2.

Therefore, GCD of numbers 628, 182, 718, 948 is 2

Finding GCD of 628, 182, 718, 948 using Prime Factorization

Given Input Data is 628, 182, 718, 948

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

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 182 is 2 x 7 x 13

Prime Factorization of 718 is 2 x 359

Prime Factorization of 948 is 2 x 2 x 3 x 79

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 628, 182, 718, 948 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(628, 182) = 57148

GCD(628, 182) = ( 628 x 182 ) / 57148

GCD(628, 182) = 114296 / 57148

GCD(628, 182) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 718

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

LCM(2, 718) = 718

GCD(2, 718) = ( 2 x 718 ) / 718

GCD(2, 718) = 1436 / 718

GCD(2, 718) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 948

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

LCM(2, 948) = 948

GCD(2, 948) = ( 2 x 948 ) / 948

GCD(2, 948) = 1896 / 948

GCD(2, 948) = 2

GCD of 628, 182, 718, 948 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 628, 182, 718, 948

1. What is the GCD of 628, 182, 718, 948?

GCD of 628, 182, 718, 948 is 2


2. Where do I get the detailed procedure to find GCD of 628, 182, 718, 948?

You can find a detailed procedure to find GCD of 628, 182, 718, 948 on our page.


3. How to find GCD of 628, 182, 718, 948 on a calculator?

You can find the GCD of 628, 182, 718, 948 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.