GCD of 58, 152, 981, 871 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 58, 152, 981, 871 i.e. 1 largest integer that divides all the numbers equally.

GCD of 58, 152, 981, 871 is 1

GCD(58, 152, 981, 871) = 1

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

GCD of

GCD of numbers 58, 152, 981, 871 is 1

GCD(58, 152, 981, 871) = 1

GCD of 58,152,981,871 Calculator

GCDof 58,152,981,871 is 1

Given Input numbers are 58, 152, 981, 871

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

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 981

List of positive integer divisors of 981 that divides 981 without a remainder.

1, 3, 9, 109, 327, 981

Divisors of 871

List of positive integer divisors of 871 that divides 871 without a remainder.

1, 13, 67, 871

Greatest Common Divisior

We found the divisors of 58, 152, 981, 871 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 152, 981, 871 is 1.

Therefore, GCD of numbers 58, 152, 981, 871 is 1

Finding GCD of 58, 152, 981, 871 using Prime Factorization

Given Input Data is 58, 152, 981, 871

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

Prime Factorization of 58 is 2 x 29

Prime Factorization of 152 is 2 x 2 x 2 x 19

Prime Factorization of 981 is 3 x 3 x 109

Prime Factorization of 871 is 13 x 67

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

Finding GCD of 58, 152, 981, 871 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(58, 152) = 4408

GCD(58, 152) = ( 58 x 152 ) / 4408

GCD(58, 152) = 8816 / 4408

GCD(58, 152) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 981

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

LCM(2, 981) = 1962

GCD(2, 981) = ( 2 x 981 ) / 1962

GCD(2, 981) = 1962 / 1962

GCD(2, 981) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 871

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

LCM(1, 871) = 871

GCD(1, 871) = ( 1 x 871 ) / 871

GCD(1, 871) = 871 / 871

GCD(1, 871) = 1

GCD of 58, 152, 981, 871 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 58, 152, 981, 871

1. What is the GCD of 58, 152, 981, 871?

GCD of 58, 152, 981, 871 is 1


2. Where do I get the detailed procedure to find GCD of 58, 152, 981, 871?

You can find a detailed procedure to find GCD of 58, 152, 981, 871 on our page.


3. How to find GCD of 58, 152, 981, 871 on a calculator?

You can find the GCD of 58, 152, 981, 871 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.