GCD of 691, 117, 564, 145 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 691, 117, 564, 145 i.e. 1 largest integer that divides all the numbers equally.

GCD of 691, 117, 564, 145 is 1

GCD(691, 117, 564, 145) = 1

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

GCD of

GCD of numbers 691, 117, 564, 145 is 1

GCD(691, 117, 564, 145) = 1

GCD of 691,117,564,145 Calculator

GCDof 691,117,564,145 is 1

Given Input numbers are 691, 117, 564, 145

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

Divisors of 691

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

1, 691

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Greatest Common Divisior

We found the divisors of 691, 117, 564, 145 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 691, 117, 564, 145 is 1.

Therefore, GCD of numbers 691, 117, 564, 145 is 1

Finding GCD of 691, 117, 564, 145 using Prime Factorization

Given Input Data is 691, 117, 564, 145

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

Prime Factorization of 691 is 691

Prime Factorization of 117 is 3 x 3 x 13

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 145 is 5 x 29

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

Finding GCD of 691, 117, 564, 145 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(691, 117) = 80847

GCD(691, 117) = ( 691 x 117 ) / 80847

GCD(691, 117) = 80847 / 80847

GCD(691, 117) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 564

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

LCM(1, 564) = 564

GCD(1, 564) = ( 1 x 564 ) / 564

GCD(1, 564) = 564 / 564

GCD(1, 564) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 145

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

LCM(1, 145) = 145

GCD(1, 145) = ( 1 x 145 ) / 145

GCD(1, 145) = 145 / 145

GCD(1, 145) = 1

GCD of 691, 117, 564, 145 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 691, 117, 564, 145

1. What is the GCD of 691, 117, 564, 145?

GCD of 691, 117, 564, 145 is 1


2. Where do I get the detailed procedure to find GCD of 691, 117, 564, 145?

You can find a detailed procedure to find GCD of 691, 117, 564, 145 on our page.


3. How to find GCD of 691, 117, 564, 145 on a calculator?

You can find the GCD of 691, 117, 564, 145 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.