GCD of 658, 826, 388 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 658, 826, 388 i.e. 2 largest integer that divides all the numbers equally.

GCD of 658, 826, 388 is 2

GCD(658, 826, 388) = 2

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

GCD of

GCD of numbers 658, 826, 388 is 2

GCD(658, 826, 388) = 2

GCD of 658,826,388 Calculator

GCDof 658,826,388 is 2

Given Input numbers are 658, 826, 388

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

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 826

List of positive integer divisors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 388

List of positive integer divisors of 388 that divides 388 without a remainder.

1, 2, 4, 97, 194, 388

Greatest Common Divisior

We found the divisors of 658, 826, 388 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 658, 826, 388 is 2.

Therefore, GCD of numbers 658, 826, 388 is 2

Finding GCD of 658, 826, 388 using Prime Factorization

Given Input Data is 658, 826, 388

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

Prime Factorization of 658 is 2 x 7 x 47

Prime Factorization of 826 is 2 x 7 x 59

Prime Factorization of 388 is 2 x 2 x 97

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 658, 826, 388 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(658, 826) = 38822

GCD(658, 826) = ( 658 x 826 ) / 38822

GCD(658, 826) = 543508 / 38822

GCD(658, 826) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 388

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

LCM(14, 388) = 2716

GCD(14, 388) = ( 14 x 388 ) / 2716

GCD(14, 388) = 5432 / 2716

GCD(14, 388) = 2

GCD of 658, 826, 388 is 2

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FAQs on GCD of numbers 658, 826, 388

1. What is the GCD of 658, 826, 388?

GCD of 658, 826, 388 is 2

2. Where do I get the detailed procedure to find GCD of 658, 826, 388?

You can find a detailed procedure to find GCD of 658, 826, 388 on our page.

3. How to find GCD of 658, 826, 388 on a calculator?

You can find the GCD of 658, 826, 388 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.