GCD of 889, 101, 271 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 889, 101, 271 i.e. 1 largest integer that divides all the numbers equally.

GCD of 889, 101, 271 is 1

GCD(889, 101, 271) = 1

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

GCD of

GCD of numbers 889, 101, 271 is 1

GCD(889, 101, 271) = 1

GCD of 889,101,271 Calculator

GCDof 889,101,271 is 1

Given Input numbers are 889, 101, 271

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

Divisors of 889

List of positive integer divisors of 889 that divides 889 without a remainder.

1, 7, 127, 889

Divisors of 101

List of positive integer divisors of 101 that divides 101 without a remainder.

1, 101

Divisors of 271

List of positive integer divisors of 271 that divides 271 without a remainder.

1, 271

Greatest Common Divisior

We found the divisors of 889, 101, 271 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 889, 101, 271 is 1.

Therefore, GCD of numbers 889, 101, 271 is 1

Finding GCD of 889, 101, 271 using Prime Factorization

Given Input Data is 889, 101, 271

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

Prime Factorization of 889 is 7 x 127

Prime Factorization of 101 is 101

Prime Factorization of 271 is 271

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

Finding GCD of 889, 101, 271 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(889, 101) = 89789

GCD(889, 101) = ( 889 x 101 ) / 89789

GCD(889, 101) = 89789 / 89789

GCD(889, 101) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 271

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

LCM(1, 271) = 271

GCD(1, 271) = ( 1 x 271 ) / 271

GCD(1, 271) = 271 / 271

GCD(1, 271) = 1

GCD of 889, 101, 271 is 1

GCD of Numbers Calculation Examples

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FAQs on GCD of numbers 889, 101, 271

1. What is the GCD of 889, 101, 271?

GCD of 889, 101, 271 is 1

2. Where do I get the detailed procedure to find GCD of 889, 101, 271?

You can find a detailed procedure to find GCD of 889, 101, 271 on our page.

3. How to find GCD of 889, 101, 271 on a calculator?

You can find the GCD of 889, 101, 271 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.