GCD of 654, 362, 57, 134 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 654, 362, 57, 134 i.e. 1 largest integer that divides all the numbers equally.

GCD of 654, 362, 57, 134 is 1

GCD(654, 362, 57, 134) = 1

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

GCD of

GCD of numbers 654, 362, 57, 134 is 1

GCD(654, 362, 57, 134) = 1

GCD of 654,362,57,134 Calculator

GCDof 654,362,57,134 is 1

Given Input numbers are 654, 362, 57, 134

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

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 134

List of positive integer divisors of 134 that divides 134 without a remainder.

1, 2, 67, 134

Greatest Common Divisior

We found the divisors of 654, 362, 57, 134 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 654, 362, 57, 134 is 1.

Therefore, GCD of numbers 654, 362, 57, 134 is 1

Finding GCD of 654, 362, 57, 134 using Prime Factorization

Given Input Data is 654, 362, 57, 134

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

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 362 is 2 x 181

Prime Factorization of 57 is 3 x 19

Prime Factorization of 134 is 2 x 67

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

Finding GCD of 654, 362, 57, 134 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(654, 362) = 118374

GCD(654, 362) = ( 654 x 362 ) / 118374

GCD(654, 362) = 236748 / 118374

GCD(654, 362) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 57

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

LCM(2, 57) = 114

GCD(2, 57) = ( 2 x 57 ) / 114

GCD(2, 57) = 114 / 114

GCD(2, 57) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 134

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

LCM(1, 134) = 134

GCD(1, 134) = ( 1 x 134 ) / 134

GCD(1, 134) = 134 / 134

GCD(1, 134) = 1

GCD of 654, 362, 57, 134 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 654, 362, 57, 134

1. What is the GCD of 654, 362, 57, 134?

GCD of 654, 362, 57, 134 is 1


2. Where do I get the detailed procedure to find GCD of 654, 362, 57, 134?

You can find a detailed procedure to find GCD of 654, 362, 57, 134 on our page.


3. How to find GCD of 654, 362, 57, 134 on a calculator?

You can find the GCD of 654, 362, 57, 134 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.