GCD of 67, 554, 302, 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 67, 554, 302, 137 i.e. 1 largest integer that divides all the numbers equally.

GCD of 67, 554, 302, 137 is 1

GCD(67, 554, 302, 137) = 1

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

GCD of

GCD of numbers 67, 554, 302, 137 is 1

GCD(67, 554, 302, 137) = 1

GCD of 67,554,302,137 Calculator

GCDof 67,554,302,137 is 1

Given Input numbers are 67, 554, 302, 137

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

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Divisors of 554

List of positive integer divisors of 554 that divides 554 without a remainder.

1, 2, 277, 554

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

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 67, 554, 302, 137 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 67, 554, 302, 137 is 1.

Therefore, GCD of numbers 67, 554, 302, 137 is 1

Finding GCD of 67, 554, 302, 137 using Prime Factorization

Given Input Data is 67, 554, 302, 137

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

Prime Factorization of 67 is 67

Prime Factorization of 554 is 2 x 277

Prime Factorization of 302 is 2 x 151

Prime Factorization of 137 is 137

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

Finding GCD of 67, 554, 302, 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(67, 554) = 37118

GCD(67, 554) = ( 67 x 554 ) / 37118

GCD(67, 554) = 37118 / 37118

GCD(67, 554) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 302

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

LCM(1, 302) = 302

GCD(1, 302) = ( 1 x 302 ) / 302

GCD(1, 302) = 302 / 302

GCD(1, 302) = 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 67, 554, 302, 137 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 67, 554, 302, 137

1. What is the GCD of 67, 554, 302, 137?

GCD of 67, 554, 302, 137 is 1


2. Where do I get the detailed procedure to find GCD of 67, 554, 302, 137?

You can find a detailed procedure to find GCD of 67, 554, 302, 137 on our page.


3. How to find GCD of 67, 554, 302, 137 on a calculator?

You can find the GCD of 67, 554, 302, 137 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.