GCD of 429, 681, 31, 666 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 429, 681, 31, 666 i.e. 1 largest integer that divides all the numbers equally.

GCD of 429, 681, 31, 666 is 1

GCD(429, 681, 31, 666) = 1

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

GCD of

GCD of numbers 429, 681, 31, 666 is 1

GCD(429, 681, 31, 666) = 1

GCD of 429,681,31,666 Calculator

GCDof 429,681,31,666 is 1

Given Input numbers are 429, 681, 31, 666

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

Divisors of 429

List of positive integer divisors of 429 that divides 429 without a remainder.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 681

List of positive integer divisors of 681 that divides 681 without a remainder.

1, 3, 227, 681

Divisors of 31

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

1, 31

Divisors of 666

List of positive integer divisors of 666 that divides 666 without a remainder.

1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

Greatest Common Divisior

We found the divisors of 429, 681, 31, 666 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 429, 681, 31, 666 is 1.

Therefore, GCD of numbers 429, 681, 31, 666 is 1

Finding GCD of 429, 681, 31, 666 using Prime Factorization

Given Input Data is 429, 681, 31, 666

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

Prime Factorization of 429 is 3 x 11 x 13

Prime Factorization of 681 is 3 x 227

Prime Factorization of 31 is 31

Prime Factorization of 666 is 2 x 3 x 3 x 37

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

Finding GCD of 429, 681, 31, 666 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(429, 681) = 97383

GCD(429, 681) = ( 429 x 681 ) / 97383

GCD(429, 681) = 292149 / 97383

GCD(429, 681) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 31

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

LCM(3, 31) = 93

GCD(3, 31) = ( 3 x 31 ) / 93

GCD(3, 31) = 93 / 93

GCD(3, 31) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 666

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

LCM(1, 666) = 666

GCD(1, 666) = ( 1 x 666 ) / 666

GCD(1, 666) = 666 / 666

GCD(1, 666) = 1

GCD of 429, 681, 31, 666 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 429, 681, 31, 666

1. What is the GCD of 429, 681, 31, 666?

GCD of 429, 681, 31, 666 is 1


2. Where do I get the detailed procedure to find GCD of 429, 681, 31, 666?

You can find a detailed procedure to find GCD of 429, 681, 31, 666 on our page.


3. How to find GCD of 429, 681, 31, 666 on a calculator?

You can find the GCD of 429, 681, 31, 666 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.