GCD of 270, 854, 917 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 270, 854, 917 i.e. 1 largest integer that divides all the numbers equally.

GCD of 270, 854, 917 is 1

GCD(270, 854, 917) = 1

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

GCD of

GCD of numbers 270, 854, 917 is 1

GCD(270, 854, 917) = 1

GCD of 270,854,917 Calculator

GCDof 270,854,917 is 1

Given Input numbers are 270, 854, 917

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

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 917

List of positive integer divisors of 917 that divides 917 without a remainder.

1, 7, 131, 917

Greatest Common Divisior

We found the divisors of 270, 854, 917 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 270, 854, 917 is 1.

Therefore, GCD of numbers 270, 854, 917 is 1

Finding GCD of 270, 854, 917 using Prime Factorization

Given Input Data is 270, 854, 917

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

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 854 is 2 x 7 x 61

Prime Factorization of 917 is 7 x 131

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

Finding GCD of 270, 854, 917 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(270, 854) = 115290

GCD(270, 854) = ( 270 x 854 ) / 115290

GCD(270, 854) = 230580 / 115290

GCD(270, 854) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 917

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

LCM(2, 917) = 1834

GCD(2, 917) = ( 2 x 917 ) / 1834

GCD(2, 917) = 1834 / 1834

GCD(2, 917) = 1

GCD of 270, 854, 917 is 1

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FAQs on GCD of numbers 270, 854, 917

1. What is the GCD of 270, 854, 917?

GCD of 270, 854, 917 is 1

2. Where do I get the detailed procedure to find GCD of 270, 854, 917?

You can find a detailed procedure to find GCD of 270, 854, 917 on our page.

3. How to find GCD of 270, 854, 917 on a calculator?

You can find the GCD of 270, 854, 917 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.