GCD of 131, 516, 182, 850 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 131, 516, 182, 850 i.e. 1 largest integer that divides all the numbers equally.

GCD of 131, 516, 182, 850 is 1

GCD(131, 516, 182, 850) = 1

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

GCD of

GCD of numbers 131, 516, 182, 850 is 1

GCD(131, 516, 182, 850) = 1

GCD of 131,516,182,850 Calculator

GCDof 131,516,182,850 is 1

Given Input numbers are 131, 516, 182, 850

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

Divisors of 131

List of positive integer divisors of 131 that divides 131 without a remainder.

1, 131

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 182

List of positive integer divisors of 182 that divides 182 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 850

List of positive integer divisors of 850 that divides 850 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Greatest Common Divisior

We found the divisors of 131, 516, 182, 850 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 131, 516, 182, 850 is 1.

Therefore, GCD of numbers 131, 516, 182, 850 is 1

Finding GCD of 131, 516, 182, 850 using Prime Factorization

Given Input Data is 131, 516, 182, 850

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

Prime Factorization of 131 is 131

Prime Factorization of 516 is 2 x 2 x 3 x 43

Prime Factorization of 182 is 2 x 7 x 13

Prime Factorization of 850 is 2 x 5 x 5 x 17

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

Finding GCD of 131, 516, 182, 850 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(131, 516) = 67596

GCD(131, 516) = ( 131 x 516 ) / 67596

GCD(131, 516) = 67596 / 67596

GCD(131, 516) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 182

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

LCM(1, 182) = 182

GCD(1, 182) = ( 1 x 182 ) / 182

GCD(1, 182) = 182 / 182

GCD(1, 182) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 850

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

LCM(1, 850) = 850

GCD(1, 850) = ( 1 x 850 ) / 850

GCD(1, 850) = 850 / 850

GCD(1, 850) = 1

GCD of 131, 516, 182, 850 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 131, 516, 182, 850

1. What is the GCD of 131, 516, 182, 850?

GCD of 131, 516, 182, 850 is 1


2. Where do I get the detailed procedure to find GCD of 131, 516, 182, 850?

You can find a detailed procedure to find GCD of 131, 516, 182, 850 on our page.


3. How to find GCD of 131, 516, 182, 850 on a calculator?

You can find the GCD of 131, 516, 182, 850 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.