GCD of 747, 957, 85, 686 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 747, 957, 85, 686 i.e. 1 largest integer that divides all the numbers equally.

GCD of 747, 957, 85, 686 is 1

GCD(747, 957, 85, 686) = 1

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

GCD of

GCD of numbers 747, 957, 85, 686 is 1

GCD(747, 957, 85, 686) = 1

GCD of 747,957,85,686 Calculator

GCDof 747,957,85,686 is 1

Given Input numbers are 747, 957, 85, 686

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

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Divisors of 957

List of positive integer divisors of 957 that divides 957 without a remainder.

1, 3, 11, 29, 33, 87, 319, 957

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Greatest Common Divisior

We found the divisors of 747, 957, 85, 686 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 747, 957, 85, 686 is 1.

Therefore, GCD of numbers 747, 957, 85, 686 is 1

Finding GCD of 747, 957, 85, 686 using Prime Factorization

Given Input Data is 747, 957, 85, 686

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

Prime Factorization of 747 is 3 x 3 x 83

Prime Factorization of 957 is 3 x 11 x 29

Prime Factorization of 85 is 5 x 17

Prime Factorization of 686 is 2 x 7 x 7 x 7

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

Finding GCD of 747, 957, 85, 686 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(747, 957) = 238293

GCD(747, 957) = ( 747 x 957 ) / 238293

GCD(747, 957) = 714879 / 238293

GCD(747, 957) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 85

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

LCM(3, 85) = 255

GCD(3, 85) = ( 3 x 85 ) / 255

GCD(3, 85) = 255 / 255

GCD(3, 85) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 686

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

LCM(1, 686) = 686

GCD(1, 686) = ( 1 x 686 ) / 686

GCD(1, 686) = 686 / 686

GCD(1, 686) = 1

GCD of 747, 957, 85, 686 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 747, 957, 85, 686

1. What is the GCD of 747, 957, 85, 686?

GCD of 747, 957, 85, 686 is 1


2. Where do I get the detailed procedure to find GCD of 747, 957, 85, 686?

You can find a detailed procedure to find GCD of 747, 957, 85, 686 on our page.


3. How to find GCD of 747, 957, 85, 686 on a calculator?

You can find the GCD of 747, 957, 85, 686 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.