GCD of 969, 706, 50, 291 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 969, 706, 50, 291 i.e. 1 largest integer that divides all the numbers equally.

GCD of 969, 706, 50, 291 is 1

GCD(969, 706, 50, 291) = 1

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

GCD of

GCD of numbers 969, 706, 50, 291 is 1

GCD(969, 706, 50, 291) = 1

GCD of 969,706,50,291 Calculator

GCDof 969,706,50,291 is 1

Given Input numbers are 969, 706, 50, 291

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

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 291

List of positive integer divisors of 291 that divides 291 without a remainder.

1, 3, 97, 291

Greatest Common Divisior

We found the divisors of 969, 706, 50, 291 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 969, 706, 50, 291 is 1.

Therefore, GCD of numbers 969, 706, 50, 291 is 1

Finding GCD of 969, 706, 50, 291 using Prime Factorization

Given Input Data is 969, 706, 50, 291

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

Prime Factorization of 969 is 3 x 17 x 19

Prime Factorization of 706 is 2 x 353

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 291 is 3 x 97

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

Finding GCD of 969, 706, 50, 291 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(969, 706) = 684114

GCD(969, 706) = ( 969 x 706 ) / 684114

GCD(969, 706) = 684114 / 684114

GCD(969, 706) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 50

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

LCM(1, 50) = 50

GCD(1, 50) = ( 1 x 50 ) / 50

GCD(1, 50) = 50 / 50

GCD(1, 50) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 291

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

LCM(1, 291) = 291

GCD(1, 291) = ( 1 x 291 ) / 291

GCD(1, 291) = 291 / 291

GCD(1, 291) = 1

GCD of 969, 706, 50, 291 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 969, 706, 50, 291

1. What is the GCD of 969, 706, 50, 291?

GCD of 969, 706, 50, 291 is 1


2. Where do I get the detailed procedure to find GCD of 969, 706, 50, 291?

You can find a detailed procedure to find GCD of 969, 706, 50, 291 on our page.


3. How to find GCD of 969, 706, 50, 291 on a calculator?

You can find the GCD of 969, 706, 50, 291 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.