GCD of 103, 772, 815, 142 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 103, 772, 815, 142 i.e. 1 largest integer that divides all the numbers equally.

GCD of 103, 772, 815, 142 is 1

GCD(103, 772, 815, 142) = 1

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

GCD of

GCD of numbers 103, 772, 815, 142 is 1

GCD(103, 772, 815, 142) = 1

GCD of 103,772,815,142 Calculator

GCDof 103,772,815,142 is 1

Given Input numbers are 103, 772, 815, 142

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

Divisors of 103

List of positive integer divisors of 103 that divides 103 without a remainder.

1, 103

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Divisors of 815

List of positive integer divisors of 815 that divides 815 without a remainder.

1, 5, 163, 815

Divisors of 142

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

1, 2, 71, 142

Greatest Common Divisior

We found the divisors of 103, 772, 815, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 103, 772, 815, 142 is 1.

Therefore, GCD of numbers 103, 772, 815, 142 is 1

Finding GCD of 103, 772, 815, 142 using Prime Factorization

Given Input Data is 103, 772, 815, 142

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

Prime Factorization of 103 is 103

Prime Factorization of 772 is 2 x 2 x 193

Prime Factorization of 815 is 5 x 163

Prime Factorization of 142 is 2 x 71

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

Finding GCD of 103, 772, 815, 142 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(103, 772) = 79516

GCD(103, 772) = ( 103 x 772 ) / 79516

GCD(103, 772) = 79516 / 79516

GCD(103, 772) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 815

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

LCM(1, 815) = 815

GCD(1, 815) = ( 1 x 815 ) / 815

GCD(1, 815) = 815 / 815

GCD(1, 815) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 142

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

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

GCD(1, 142) = 142 / 142

GCD(1, 142) = 1

GCD of 103, 772, 815, 142 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 103, 772, 815, 142

1. What is the GCD of 103, 772, 815, 142?

GCD of 103, 772, 815, 142 is 1


2. Where do I get the detailed procedure to find GCD of 103, 772, 815, 142?

You can find a detailed procedure to find GCD of 103, 772, 815, 142 on our page.


3. How to find GCD of 103, 772, 815, 142 on a calculator?

You can find the GCD of 103, 772, 815, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.