GCD of 712, 850, 884, 959 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 712, 850, 884, 959 i.e. 1 largest integer that divides all the numbers equally.

GCD of 712, 850, 884, 959 is 1

GCD(712, 850, 884, 959) = 1

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

GCD of

GCD of numbers 712, 850, 884, 959 is 1

GCD(712, 850, 884, 959) = 1

GCD of 712,850,884,959 Calculator

GCDof 712,850,884,959 is 1

Given Input numbers are 712, 850, 884, 959

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

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 850

List of positive integer divisors of 850 that divides 850 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Divisors of 884

List of positive integer divisors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Divisors of 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Greatest Common Divisior

We found the divisors of 712, 850, 884, 959 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 712, 850, 884, 959 is 1.

Therefore, GCD of numbers 712, 850, 884, 959 is 1

Finding GCD of 712, 850, 884, 959 using Prime Factorization

Given Input Data is 712, 850, 884, 959

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

Prime Factorization of 712 is 2 x 2 x 2 x 89

Prime Factorization of 850 is 2 x 5 x 5 x 17

Prime Factorization of 884 is 2 x 2 x 13 x 17

Prime Factorization of 959 is 7 x 137

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

Finding GCD of 712, 850, 884, 959 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(712, 850) = 302600

GCD(712, 850) = ( 712 x 850 ) / 302600

GCD(712, 850) = 605200 / 302600

GCD(712, 850) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 884

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

LCM(2, 884) = 884

GCD(2, 884) = ( 2 x 884 ) / 884

GCD(2, 884) = 1768 / 884

GCD(2, 884) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 959

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

LCM(2, 959) = 1918

GCD(2, 959) = ( 2 x 959 ) / 1918

GCD(2, 959) = 1918 / 1918

GCD(2, 959) = 1

GCD of 712, 850, 884, 959 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 712, 850, 884, 959

1. What is the GCD of 712, 850, 884, 959?

GCD of 712, 850, 884, 959 is 1


2. Where do I get the detailed procedure to find GCD of 712, 850, 884, 959?

You can find a detailed procedure to find GCD of 712, 850, 884, 959 on our page.


3. How to find GCD of 712, 850, 884, 959 on a calculator?

You can find the GCD of 712, 850, 884, 959 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.