GCD of 784, 691, 20, 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 784, 691, 20, 959 i.e. 1 largest integer that divides all the numbers equally.

GCD of 784, 691, 20, 959 is 1

GCD(784, 691, 20, 959) = 1

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

GCD of

GCD of numbers 784, 691, 20, 959 is 1

GCD(784, 691, 20, 959) = 1

GCD of 784,691,20,959 Calculator

GCDof 784,691,20,959 is 1

Given Input numbers are 784, 691, 20, 959

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

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 691

List of positive integer divisors of 691 that divides 691 without a remainder.

1, 691

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

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 784, 691, 20, 959 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 784, 691, 20, 959 is 1.

Therefore, GCD of numbers 784, 691, 20, 959 is 1

Finding GCD of 784, 691, 20, 959 using Prime Factorization

Given Input Data is 784, 691, 20, 959

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

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 691 is 691

Prime Factorization of 20 is 2 x 2 x 5

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 784, 691, 20, 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(784, 691) = 541744

GCD(784, 691) = ( 784 x 691 ) / 541744

GCD(784, 691) = 541744 / 541744

GCD(784, 691) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 20

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

LCM(1, 20) = 20

GCD(1, 20) = ( 1 x 20 ) / 20

GCD(1, 20) = 20 / 20

GCD(1, 20) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 959

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

LCM(1, 959) = 959

GCD(1, 959) = ( 1 x 959 ) / 959

GCD(1, 959) = 959 / 959

GCD(1, 959) = 1

GCD of 784, 691, 20, 959 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 784, 691, 20, 959

1. What is the GCD of 784, 691, 20, 959?

GCD of 784, 691, 20, 959 is 1


2. Where do I get the detailed procedure to find GCD of 784, 691, 20, 959?

You can find a detailed procedure to find GCD of 784, 691, 20, 959 on our page.


3. How to find GCD of 784, 691, 20, 959 on a calculator?

You can find the GCD of 784, 691, 20, 959 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.