GCD of 471, 684, 76, 535 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 471, 684, 76, 535 i.e. 1 largest integer that divides all the numbers equally.

GCD of 471, 684, 76, 535 is 1

GCD(471, 684, 76, 535) = 1

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

GCD of

GCD of numbers 471, 684, 76, 535 is 1

GCD(471, 684, 76, 535) = 1

GCD of 471,684,76,535 Calculator

GCDof 471,684,76,535 is 1

Given Input numbers are 471, 684, 76, 535

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

Divisors of 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 535

List of positive integer divisors of 535 that divides 535 without a remainder.

1, 5, 107, 535

Greatest Common Divisior

We found the divisors of 471, 684, 76, 535 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 471, 684, 76, 535 is 1.

Therefore, GCD of numbers 471, 684, 76, 535 is 1

Finding GCD of 471, 684, 76, 535 using Prime Factorization

Given Input Data is 471, 684, 76, 535

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

Prime Factorization of 471 is 3 x 157

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 535 is 5 x 107

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

Finding GCD of 471, 684, 76, 535 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(471, 684) = 107388

GCD(471, 684) = ( 471 x 684 ) / 107388

GCD(471, 684) = 322164 / 107388

GCD(471, 684) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 76

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

LCM(3, 76) = 228

GCD(3, 76) = ( 3 x 76 ) / 228

GCD(3, 76) = 228 / 228

GCD(3, 76) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 535

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

LCM(1, 535) = 535

GCD(1, 535) = ( 1 x 535 ) / 535

GCD(1, 535) = 535 / 535

GCD(1, 535) = 1

GCD of 471, 684, 76, 535 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 471, 684, 76, 535

1. What is the GCD of 471, 684, 76, 535?

GCD of 471, 684, 76, 535 is 1


2. Where do I get the detailed procedure to find GCD of 471, 684, 76, 535?

You can find a detailed procedure to find GCD of 471, 684, 76, 535 on our page.


3. How to find GCD of 471, 684, 76, 535 on a calculator?

You can find the GCD of 471, 684, 76, 535 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.