GCD of 832, 928, 971, 432 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 832, 928, 971, 432 i.e. 1 largest integer that divides all the numbers equally.

GCD of 832, 928, 971, 432 is 1

GCD(832, 928, 971, 432) = 1

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

GCD of

GCD of numbers 832, 928, 971, 432 is 1

GCD(832, 928, 971, 432) = 1

GCD of 832,928,971,432 Calculator

GCDof 832,928,971,432 is 1

Given Input numbers are 832, 928, 971, 432

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

Divisors of 832

List of positive integer divisors of 832 that divides 832 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Divisors of 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

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

Greatest Common Divisior

We found the divisors of 832, 928, 971, 432 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 832, 928, 971, 432 is 1.

Therefore, GCD of numbers 832, 928, 971, 432 is 1

Finding GCD of 832, 928, 971, 432 using Prime Factorization

Given Input Data is 832, 928, 971, 432

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

Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29

Prime Factorization of 971 is 971

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

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

Finding GCD of 832, 928, 971, 432 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(832, 928) = 24128

GCD(832, 928) = ( 832 x 928 ) / 24128

GCD(832, 928) = 772096 / 24128

GCD(832, 928) = 32


Step2:

Here we consider the GCD from the above i.e. 32 as first number and the next as 971

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

LCM(32, 971) = 31072

GCD(32, 971) = ( 32 x 971 ) / 31072

GCD(32, 971) = 31072 / 31072

GCD(32, 971) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 432

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

LCM(1, 432) = 432

GCD(1, 432) = ( 1 x 432 ) / 432

GCD(1, 432) = 432 / 432

GCD(1, 432) = 1

GCD of 832, 928, 971, 432 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 832, 928, 971, 432

1. What is the GCD of 832, 928, 971, 432?

GCD of 832, 928, 971, 432 is 1


2. Where do I get the detailed procedure to find GCD of 832, 928, 971, 432?

You can find a detailed procedure to find GCD of 832, 928, 971, 432 on our page.


3. How to find GCD of 832, 928, 971, 432 on a calculator?

You can find the GCD of 832, 928, 971, 432 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.