GCD of 360, 755, 861 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 360, 755, 861 i.e. 1 largest integer that divides all the numbers equally.

GCD of 360, 755, 861 is 1

GCD(360, 755, 861) = 1

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

GCD of

GCD of numbers 360, 755, 861 is 1

GCD(360, 755, 861) = 1

GCD of 360,755,861 Calculator

GCDof 360,755,861 is 1

Given Input numbers are 360, 755, 861

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

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

Divisors of 755

List of positive integer divisors of 755 that divides 755 without a remainder.

1, 5, 151, 755

Divisors of 861

List of positive integer divisors of 861 that divides 861 without a remainder.

1, 3, 7, 21, 41, 123, 287, 861

Greatest Common Divisior

We found the divisors of 360, 755, 861 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 755, 861 is 1.

Therefore, GCD of numbers 360, 755, 861 is 1

Finding GCD of 360, 755, 861 using Prime Factorization

Given Input Data is 360, 755, 861

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

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

Prime Factorization of 755 is 5 x 151

Prime Factorization of 861 is 3 x 7 x 41

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

Finding GCD of 360, 755, 861 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(360, 755) = 54360

GCD(360, 755) = ( 360 x 755 ) / 54360

GCD(360, 755) = 271800 / 54360

GCD(360, 755) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 861

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

LCM(5, 861) = 4305

GCD(5, 861) = ( 5 x 861 ) / 4305

GCD(5, 861) = 4305 / 4305

GCD(5, 861) = 1

GCD of 360, 755, 861 is 1

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FAQs on GCD of numbers 360, 755, 861

1. What is the GCD of 360, 755, 861?

GCD of 360, 755, 861 is 1

2. Where do I get the detailed procedure to find GCD of 360, 755, 861?

You can find a detailed procedure to find GCD of 360, 755, 861 on our page.

3. How to find GCD of 360, 755, 861 on a calculator?

You can find the GCD of 360, 755, 861 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.