GCD of 737, 142, 71, 254 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 737, 142, 71, 254 i.e. 1 largest integer that divides all the numbers equally.

GCD of 737, 142, 71, 254 is 1

GCD(737, 142, 71, 254) = 1

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

GCD of

GCD of numbers 737, 142, 71, 254 is 1

GCD(737, 142, 71, 254) = 1

GCD of 737,142,71,254 Calculator

GCDof 737,142,71,254 is 1

Given Input numbers are 737, 142, 71, 254

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

Divisors of 737

List of positive integer divisors of 737 that divides 737 without a remainder.

1, 11, 67, 737

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Greatest Common Divisior

We found the divisors of 737, 142, 71, 254 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 737, 142, 71, 254 is 1.

Therefore, GCD of numbers 737, 142, 71, 254 is 1

Finding GCD of 737, 142, 71, 254 using Prime Factorization

Given Input Data is 737, 142, 71, 254

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

Prime Factorization of 737 is 11 x 67

Prime Factorization of 142 is 2 x 71

Prime Factorization of 71 is 71

Prime Factorization of 254 is 2 x 127

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

Finding GCD of 737, 142, 71, 254 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(737, 142) = 104654

GCD(737, 142) = ( 737 x 142 ) / 104654

GCD(737, 142) = 104654 / 104654

GCD(737, 142) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 254

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

LCM(1, 254) = 254

GCD(1, 254) = ( 1 x 254 ) / 254

GCD(1, 254) = 254 / 254

GCD(1, 254) = 1

GCD of 737, 142, 71, 254 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 737, 142, 71, 254

1. What is the GCD of 737, 142, 71, 254?

GCD of 737, 142, 71, 254 is 1


2. Where do I get the detailed procedure to find GCD of 737, 142, 71, 254?

You can find a detailed procedure to find GCD of 737, 142, 71, 254 on our page.


3. How to find GCD of 737, 142, 71, 254 on a calculator?

You can find the GCD of 737, 142, 71, 254 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.