GCD of 138, 677, 236, 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 138, 677, 236, 238 i.e. 1 largest integer that divides all the numbers equally.

GCD of 138, 677, 236, 238 is 1

GCD(138, 677, 236, 238) = 1

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

GCD of

GCD of numbers 138, 677, 236, 238 is 1

GCD(138, 677, 236, 238) = 1

GCD of 138,677,236,238 Calculator

GCDof 138,677,236,238 is 1

Given Input numbers are 138, 677, 236, 238

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

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 677

List of positive integer divisors of 677 that divides 677 without a remainder.

1, 677

Divisors of 236

List of positive integer divisors of 236 that divides 236 without a remainder.

1, 2, 4, 59, 118, 236

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 138, 677, 236, 238 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 138, 677, 236, 238 is 1.

Therefore, GCD of numbers 138, 677, 236, 238 is 1

Finding GCD of 138, 677, 236, 238 using Prime Factorization

Given Input Data is 138, 677, 236, 238

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

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 677 is 677

Prime Factorization of 236 is 2 x 2 x 59

Prime Factorization of 238 is 2 x 7 x 17

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 138, 677, 236, 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(138, 677) = 93426

GCD(138, 677) = ( 138 x 677 ) / 93426

GCD(138, 677) = 93426 / 93426

GCD(138, 677) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 236

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

LCM(1, 236) = 236

GCD(1, 236) = ( 1 x 236 ) / 236

GCD(1, 236) = 236 / 236

GCD(1, 236) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 238

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

LCM(1, 238) = 238

GCD(1, 238) = ( 1 x 238 ) / 238

GCD(1, 238) = 238 / 238

GCD(1, 238) = 1

GCD of 138, 677, 236, 238 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 138, 677, 236, 238

1. What is the GCD of 138, 677, 236, 238?

GCD of 138, 677, 236, 238 is 1


2. Where do I get the detailed procedure to find GCD of 138, 677, 236, 238?

You can find a detailed procedure to find GCD of 138, 677, 236, 238 on our page.


3. How to find GCD of 138, 677, 236, 238 on a calculator?

You can find the GCD of 138, 677, 236, 238 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.