GCD of 564, 703, 31, 701 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 564, 703, 31, 701 i.e. 1 largest integer that divides all the numbers equally.

GCD of 564, 703, 31, 701 is 1

GCD(564, 703, 31, 701) = 1

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

GCD of

GCD of numbers 564, 703, 31, 701 is 1

GCD(564, 703, 31, 701) = 1

GCD of 564,703,31,701 Calculator

GCDof 564,703,31,701 is 1

Given Input numbers are 564, 703, 31, 701

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

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 703

List of positive integer divisors of 703 that divides 703 without a remainder.

1, 19, 37, 703

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 701

List of positive integer divisors of 701 that divides 701 without a remainder.

1, 701

Greatest Common Divisior

We found the divisors of 564, 703, 31, 701 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 564, 703, 31, 701 is 1.

Therefore, GCD of numbers 564, 703, 31, 701 is 1

Finding GCD of 564, 703, 31, 701 using Prime Factorization

Given Input Data is 564, 703, 31, 701

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

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

Prime Factorization of 703 is 19 x 37

Prime Factorization of 31 is 31

Prime Factorization of 701 is 701

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

Finding GCD of 564, 703, 31, 701 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(564, 703) = 396492

GCD(564, 703) = ( 564 x 703 ) / 396492

GCD(564, 703) = 396492 / 396492

GCD(564, 703) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

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

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

GCD(1, 31) = 31 / 31

GCD(1, 31) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 701

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

LCM(1, 701) = 701

GCD(1, 701) = ( 1 x 701 ) / 701

GCD(1, 701) = 701 / 701

GCD(1, 701) = 1

GCD of 564, 703, 31, 701 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 564, 703, 31, 701

1. What is the GCD of 564, 703, 31, 701?

GCD of 564, 703, 31, 701 is 1


2. Where do I get the detailed procedure to find GCD of 564, 703, 31, 701?

You can find a detailed procedure to find GCD of 564, 703, 31, 701 on our page.


3. How to find GCD of 564, 703, 31, 701 on a calculator?

You can find the GCD of 564, 703, 31, 701 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.