GCD of 55, 130, 893, 171 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 55, 130, 893, 171 i.e. 1 largest integer that divides all the numbers equally.

GCD of 55, 130, 893, 171 is 1

GCD(55, 130, 893, 171) = 1

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

GCD of

GCD of numbers 55, 130, 893, 171 is 1

GCD(55, 130, 893, 171) = 1

GCD of 55,130,893,171 Calculator

GCDof 55,130,893,171 is 1

Given Input numbers are 55, 130, 893, 171

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

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

Divisors of 130

List of positive integer divisors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 893

List of positive integer divisors of 893 that divides 893 without a remainder.

1, 19, 47, 893

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Greatest Common Divisior

We found the divisors of 55, 130, 893, 171 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 55, 130, 893, 171 is 1.

Therefore, GCD of numbers 55, 130, 893, 171 is 1

Finding GCD of 55, 130, 893, 171 using Prime Factorization

Given Input Data is 55, 130, 893, 171

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

Prime Factorization of 55 is 5 x 11

Prime Factorization of 130 is 2 x 5 x 13

Prime Factorization of 893 is 19 x 47

Prime Factorization of 171 is 3 x 3 x 19

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

Finding GCD of 55, 130, 893, 171 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(55, 130) = 1430

GCD(55, 130) = ( 55 x 130 ) / 1430

GCD(55, 130) = 7150 / 1430

GCD(55, 130) = 5


Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 893

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

LCM(5, 893) = 4465

GCD(5, 893) = ( 5 x 893 ) / 4465

GCD(5, 893) = 4465 / 4465

GCD(5, 893) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 171

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

LCM(1, 171) = 171

GCD(1, 171) = ( 1 x 171 ) / 171

GCD(1, 171) = 171 / 171

GCD(1, 171) = 1

GCD of 55, 130, 893, 171 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 55, 130, 893, 171

1. What is the GCD of 55, 130, 893, 171?

GCD of 55, 130, 893, 171 is 1


2. Where do I get the detailed procedure to find GCD of 55, 130, 893, 171?

You can find a detailed procedure to find GCD of 55, 130, 893, 171 on our page.


3. How to find GCD of 55, 130, 893, 171 on a calculator?

You can find the GCD of 55, 130, 893, 171 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.