GCD of 628, 786, 618, 588 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, 786, 618, 588 i.e. 2 largest integer that divides all the numbers equally.

GCD of 628, 786, 618, 588 is 2

GCD(628, 786, 618, 588) = 2

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

GCD of

GCD of numbers 628, 786, 618, 588 is 2

GCD(628, 786, 618, 588) = 2

GCD of 628,786,618,588 Calculator

GCDof 628,786,618,588 is 2

Given Input numbers are 628, 786, 618, 588

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 786

List of positive integer divisors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

Divisors of 618

List of positive integer divisors of 618 that divides 618 without a remainder.

1, 2, 3, 6, 103, 206, 309, 618

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Greatest Common Divisior

We found the divisors of 628, 786, 618, 588 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 628, 786, 618, 588 is 2.

Therefore, GCD of numbers 628, 786, 618, 588 is 2

Finding GCD of 628, 786, 618, 588 using Prime Factorization

Given Input Data is 628, 786, 618, 588

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 786 is 2 x 3 x 131

Prime Factorization of 618 is 2 x 3 x 103

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 628, 786, 618, 588 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, 786) = 246804

GCD(628, 786) = ( 628 x 786 ) / 246804

GCD(628, 786) = 493608 / 246804

GCD(628, 786) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 618

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

LCM(2, 618) = 618

GCD(2, 618) = ( 2 x 618 ) / 618

GCD(2, 618) = 1236 / 618

GCD(2, 618) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 588

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

LCM(2, 588) = 588

GCD(2, 588) = ( 2 x 588 ) / 588

GCD(2, 588) = 1176 / 588

GCD(2, 588) = 2

GCD of 628, 786, 618, 588 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 628, 786, 618, 588

1. What is the GCD of 628, 786, 618, 588?

GCD of 628, 786, 618, 588 is 2


2. Where do I get the detailed procedure to find GCD of 628, 786, 618, 588?

You can find a detailed procedure to find GCD of 628, 786, 618, 588 on our page.


3. How to find GCD of 628, 786, 618, 588 on a calculator?

You can find the GCD of 628, 786, 618, 588 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.