GCD of 531, 920, 34, 771 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 531, 920, 34, 771 i.e. 1 largest integer that divides all the numbers equally.

GCD of 531, 920, 34, 771 is 1

GCD(531, 920, 34, 771) = 1

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

GCD of

GCD of numbers 531, 920, 34, 771 is 1

GCD(531, 920, 34, 771) = 1

GCD of 531,920,34,771 Calculator

GCDof 531,920,34,771 is 1

Given Input numbers are 531, 920, 34, 771

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

Divisors of 531

List of positive integer divisors of 531 that divides 531 without a remainder.

1, 3, 9, 59, 177, 531

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

Greatest Common Divisior

We found the divisors of 531, 920, 34, 771 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 531, 920, 34, 771 is 1.

Therefore, GCD of numbers 531, 920, 34, 771 is 1

Finding GCD of 531, 920, 34, 771 using Prime Factorization

Given Input Data is 531, 920, 34, 771

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

Prime Factorization of 531 is 3 x 3 x 59

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 34 is 2 x 17

Prime Factorization of 771 is 3 x 257

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

Finding GCD of 531, 920, 34, 771 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(531, 920) = 488520

GCD(531, 920) = ( 531 x 920 ) / 488520

GCD(531, 920) = 488520 / 488520

GCD(531, 920) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 34

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

LCM(1, 34) = 34

GCD(1, 34) = ( 1 x 34 ) / 34

GCD(1, 34) = 34 / 34

GCD(1, 34) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 771

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

LCM(1, 771) = 771

GCD(1, 771) = ( 1 x 771 ) / 771

GCD(1, 771) = 771 / 771

GCD(1, 771) = 1

GCD of 531, 920, 34, 771 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 531, 920, 34, 771

1. What is the GCD of 531, 920, 34, 771?

GCD of 531, 920, 34, 771 is 1


2. Where do I get the detailed procedure to find GCD of 531, 920, 34, 771?

You can find a detailed procedure to find GCD of 531, 920, 34, 771 on our page.


3. How to find GCD of 531, 920, 34, 771 on a calculator?

You can find the GCD of 531, 920, 34, 771 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.