GCD of 432, 907, 731, 989 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 432, 907, 731, 989 i.e. 1 largest integer that divides all the numbers equally.

GCD of 432, 907, 731, 989 is 1

GCD(432, 907, 731, 989) = 1

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

GCD of

GCD of numbers 432, 907, 731, 989 is 1

GCD(432, 907, 731, 989) = 1

GCD of 432,907,731,989 Calculator

GCDof 432,907,731,989 is 1

Given Input numbers are 432, 907, 731, 989

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

Divisors of 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 907

List of positive integer divisors of 907 that divides 907 without a remainder.

1, 907

Divisors of 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Greatest Common Divisior

We found the divisors of 432, 907, 731, 989 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 432, 907, 731, 989 is 1.

Therefore, GCD of numbers 432, 907, 731, 989 is 1

Finding GCD of 432, 907, 731, 989 using Prime Factorization

Given Input Data is 432, 907, 731, 989

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

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 907 is 907

Prime Factorization of 731 is 17 x 43

Prime Factorization of 989 is 23 x 43

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

Finding GCD of 432, 907, 731, 989 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(432, 907) = 391824

GCD(432, 907) = ( 432 x 907 ) / 391824

GCD(432, 907) = 391824 / 391824

GCD(432, 907) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 731

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

LCM(1, 731) = 731

GCD(1, 731) = ( 1 x 731 ) / 731

GCD(1, 731) = 731 / 731

GCD(1, 731) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 989

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

LCM(1, 989) = 989

GCD(1, 989) = ( 1 x 989 ) / 989

GCD(1, 989) = 989 / 989

GCD(1, 989) = 1

GCD of 432, 907, 731, 989 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 432, 907, 731, 989

1. What is the GCD of 432, 907, 731, 989?

GCD of 432, 907, 731, 989 is 1


2. Where do I get the detailed procedure to find GCD of 432, 907, 731, 989?

You can find a detailed procedure to find GCD of 432, 907, 731, 989 on our page.


3. How to find GCD of 432, 907, 731, 989 on a calculator?

You can find the GCD of 432, 907, 731, 989 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.