GCD of 987, 506, 347, 726 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 987, 506, 347, 726 i.e. 1 largest integer that divides all the numbers equally.

GCD of 987, 506, 347, 726 is 1

GCD(987, 506, 347, 726) = 1

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

GCD of

GCD of numbers 987, 506, 347, 726 is 1

GCD(987, 506, 347, 726) = 1

GCD of 987,506,347,726 Calculator

GCDof 987,506,347,726 is 1

Given Input numbers are 987, 506, 347, 726

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

Divisors of 987

List of positive integer divisors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 347

List of positive integer divisors of 347 that divides 347 without a remainder.

1, 347

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Greatest Common Divisior

We found the divisors of 987, 506, 347, 726 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 987, 506, 347, 726 is 1.

Therefore, GCD of numbers 987, 506, 347, 726 is 1

Finding GCD of 987, 506, 347, 726 using Prime Factorization

Given Input Data is 987, 506, 347, 726

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

Prime Factorization of 987 is 3 x 7 x 47

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 347 is 347

Prime Factorization of 726 is 2 x 3 x 11 x 11

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

Finding GCD of 987, 506, 347, 726 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(987, 506) = 499422

GCD(987, 506) = ( 987 x 506 ) / 499422

GCD(987, 506) = 499422 / 499422

GCD(987, 506) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 347

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

LCM(1, 347) = 347

GCD(1, 347) = ( 1 x 347 ) / 347

GCD(1, 347) = 347 / 347

GCD(1, 347) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 726

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

LCM(1, 726) = 726

GCD(1, 726) = ( 1 x 726 ) / 726

GCD(1, 726) = 726 / 726

GCD(1, 726) = 1

GCD of 987, 506, 347, 726 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 987, 506, 347, 726

1. What is the GCD of 987, 506, 347, 726?

GCD of 987, 506, 347, 726 is 1


2. Where do I get the detailed procedure to find GCD of 987, 506, 347, 726?

You can find a detailed procedure to find GCD of 987, 506, 347, 726 on our page.


3. How to find GCD of 987, 506, 347, 726 on a calculator?

You can find the GCD of 987, 506, 347, 726 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.