GCD of 61, 518, 986, 381 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 61, 518, 986, 381 i.e. 1 largest integer that divides all the numbers equally.

GCD of 61, 518, 986, 381 is 1

GCD(61, 518, 986, 381) = 1

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

GCD of

GCD of numbers 61, 518, 986, 381 is 1

GCD(61, 518, 986, 381) = 1

GCD of 61,518,986,381 Calculator

GCDof 61,518,986,381 is 1

Given Input numbers are 61, 518, 986, 381

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

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Greatest Common Divisior

We found the divisors of 61, 518, 986, 381 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 61, 518, 986, 381 is 1.

Therefore, GCD of numbers 61, 518, 986, 381 is 1

Finding GCD of 61, 518, 986, 381 using Prime Factorization

Given Input Data is 61, 518, 986, 381

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

Prime Factorization of 61 is 61

Prime Factorization of 518 is 2 x 7 x 37

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 381 is 3 x 127

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

Finding GCD of 61, 518, 986, 381 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(61, 518) = 31598

GCD(61, 518) = ( 61 x 518 ) / 31598

GCD(61, 518) = 31598 / 31598

GCD(61, 518) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 986

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

LCM(1, 986) = 986

GCD(1, 986) = ( 1 x 986 ) / 986

GCD(1, 986) = 986 / 986

GCD(1, 986) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 381

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

LCM(1, 381) = 381

GCD(1, 381) = ( 1 x 381 ) / 381

GCD(1, 381) = 381 / 381

GCD(1, 381) = 1

GCD of 61, 518, 986, 381 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 61, 518, 986, 381

1. What is the GCD of 61, 518, 986, 381?

GCD of 61, 518, 986, 381 is 1


2. Where do I get the detailed procedure to find GCD of 61, 518, 986, 381?

You can find a detailed procedure to find GCD of 61, 518, 986, 381 on our page.


3. How to find GCD of 61, 518, 986, 381 on a calculator?

You can find the GCD of 61, 518, 986, 381 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.