GCD of 986, 756, 501 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 986, 756, 501 i.e. 1 largest integer that divides all the numbers equally.

GCD of 986, 756, 501 is 1

GCD(986, 756, 501) = 1

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

GCD of

GCD of numbers 986, 756, 501 is 1

GCD(986, 756, 501) = 1

GCD of 986,756,501 Calculator

GCDof 986,756,501 is 1

Given Input numbers are 986, 756, 501

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

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 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Greatest Common Divisior

We found the divisors of 986, 756, 501 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 986, 756, 501 is 1.

Therefore, GCD of numbers 986, 756, 501 is 1

Finding GCD of 986, 756, 501 using Prime Factorization

Given Input Data is 986, 756, 501

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

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 501 is 3 x 167

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

Finding GCD of 986, 756, 501 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(986, 756) = 372708

GCD(986, 756) = ( 986 x 756 ) / 372708

GCD(986, 756) = 745416 / 372708

GCD(986, 756) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 501

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

LCM(2, 501) = 1002

GCD(2, 501) = ( 2 x 501 ) / 1002

GCD(2, 501) = 1002 / 1002

GCD(2, 501) = 1

GCD of 986, 756, 501 is 1

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FAQs on GCD of numbers 986, 756, 501

1. What is the GCD of 986, 756, 501?

GCD of 986, 756, 501 is 1

2. Where do I get the detailed procedure to find GCD of 986, 756, 501?

You can find a detailed procedure to find GCD of 986, 756, 501 on our page.

3. How to find GCD of 986, 756, 501 on a calculator?

You can find the GCD of 986, 756, 501 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.