GCD of 851, 492, 557, 360 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 851, 492, 557, 360 i.e. 1 largest integer that divides all the numbers equally.

GCD of 851, 492, 557, 360 is 1

GCD(851, 492, 557, 360) = 1

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

GCD of

GCD of numbers 851, 492, 557, 360 is 1

GCD(851, 492, 557, 360) = 1

GCD of 851,492,557,360 Calculator

GCDof 851,492,557,360 is 1

Given Input numbers are 851, 492, 557, 360

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

Divisors of 851

List of positive integer divisors of 851 that divides 851 without a remainder.

1, 23, 37, 851

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 557

List of positive integer divisors of 557 that divides 557 without a remainder.

1, 557

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Greatest Common Divisior

We found the divisors of 851, 492, 557, 360 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 851, 492, 557, 360 is 1.

Therefore, GCD of numbers 851, 492, 557, 360 is 1

Finding GCD of 851, 492, 557, 360 using Prime Factorization

Given Input Data is 851, 492, 557, 360

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

Prime Factorization of 851 is 23 x 37

Prime Factorization of 492 is 2 x 2 x 3 x 41

Prime Factorization of 557 is 557

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

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

Finding GCD of 851, 492, 557, 360 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(851, 492) = 418692

GCD(851, 492) = ( 851 x 492 ) / 418692

GCD(851, 492) = 418692 / 418692

GCD(851, 492) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 557

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

LCM(1, 557) = 557

GCD(1, 557) = ( 1 x 557 ) / 557

GCD(1, 557) = 557 / 557

GCD(1, 557) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 360

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

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

GCD(1, 360) = 360 / 360

GCD(1, 360) = 1

GCD of 851, 492, 557, 360 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 851, 492, 557, 360

1. What is the GCD of 851, 492, 557, 360?

GCD of 851, 492, 557, 360 is 1


2. Where do I get the detailed procedure to find GCD of 851, 492, 557, 360?

You can find a detailed procedure to find GCD of 851, 492, 557, 360 on our page.


3. How to find GCD of 851, 492, 557, 360 on a calculator?

You can find the GCD of 851, 492, 557, 360 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.