GCD of 522, 685, 177, 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 522, 685, 177, 142 i.e. 1 largest integer that divides all the numbers equally.

GCD of 522, 685, 177, 142 is 1

GCD(522, 685, 177, 142) = 1

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

GCD of

GCD of numbers 522, 685, 177, 142 is 1

GCD(522, 685, 177, 142) = 1

GCD of 522,685,177,142 Calculator

GCDof 522,685,177,142 is 1

Given Input numbers are 522, 685, 177, 142

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

Divisors of 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 685

List of positive integer divisors of 685 that divides 685 without a remainder.

1, 5, 137, 685

Divisors of 177

List of positive integer divisors of 177 that divides 177 without a remainder.

1, 3, 59, 177

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 522, 685, 177, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 522, 685, 177, 142 is 1.

Therefore, GCD of numbers 522, 685, 177, 142 is 1

Finding GCD of 522, 685, 177, 142 using Prime Factorization

Given Input Data is 522, 685, 177, 142

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

Prime Factorization of 522 is 2 x 3 x 3 x 29

Prime Factorization of 685 is 5 x 137

Prime Factorization of 177 is 3 x 59

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 522, 685, 177, 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(522, 685) = 357570

GCD(522, 685) = ( 522 x 685 ) / 357570

GCD(522, 685) = 357570 / 357570

GCD(522, 685) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 177

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

LCM(1, 177) = 177

GCD(1, 177) = ( 1 x 177 ) / 177

GCD(1, 177) = 177 / 177

GCD(1, 177) = 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 522, 685, 177, 142 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 522, 685, 177, 142

1. What is the GCD of 522, 685, 177, 142?

GCD of 522, 685, 177, 142 is 1


2. Where do I get the detailed procedure to find GCD of 522, 685, 177, 142?

You can find a detailed procedure to find GCD of 522, 685, 177, 142 on our page.


3. How to find GCD of 522, 685, 177, 142 on a calculator?

You can find the GCD of 522, 685, 177, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.