GCD of 294, 668, 77, 137 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 294, 668, 77, 137 i.e. 1 largest integer that divides all the numbers equally.

GCD of 294, 668, 77, 137 is 1

GCD(294, 668, 77, 137) = 1

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

GCD of

GCD of numbers 294, 668, 77, 137 is 1

GCD(294, 668, 77, 137) = 1

GCD of 294,668,77,137 Calculator

GCDof 294,668,77,137 is 1

Given Input numbers are 294, 668, 77, 137

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

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 668

List of positive integer divisors of 668 that divides 668 without a remainder.

1, 2, 4, 167, 334, 668

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 137

List of positive integer divisors of 137 that divides 137 without a remainder.

1, 137

Greatest Common Divisior

We found the divisors of 294, 668, 77, 137 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 294, 668, 77, 137 is 1.

Therefore, GCD of numbers 294, 668, 77, 137 is 1

Finding GCD of 294, 668, 77, 137 using Prime Factorization

Given Input Data is 294, 668, 77, 137

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

Prime Factorization of 294 is 2 x 3 x 7 x 7

Prime Factorization of 668 is 2 x 2 x 167

Prime Factorization of 77 is 7 x 11

Prime Factorization of 137 is 137

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

Finding GCD of 294, 668, 77, 137 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(294, 668) = 98196

GCD(294, 668) = ( 294 x 668 ) / 98196

GCD(294, 668) = 196392 / 98196

GCD(294, 668) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 77

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

LCM(2, 77) = 154

GCD(2, 77) = ( 2 x 77 ) / 154

GCD(2, 77) = 154 / 154

GCD(2, 77) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 137

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

LCM(1, 137) = 137

GCD(1, 137) = ( 1 x 137 ) / 137

GCD(1, 137) = 137 / 137

GCD(1, 137) = 1

GCD of 294, 668, 77, 137 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 294, 668, 77, 137

1. What is the GCD of 294, 668, 77, 137?

GCD of 294, 668, 77, 137 is 1


2. Where do I get the detailed procedure to find GCD of 294, 668, 77, 137?

You can find a detailed procedure to find GCD of 294, 668, 77, 137 on our page.


3. How to find GCD of 294, 668, 77, 137 on a calculator?

You can find the GCD of 294, 668, 77, 137 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.