GCD of 432, 965, 162, 917 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, 965, 162, 917 i.e. 1 largest integer that divides all the numbers equally.

GCD of 432, 965, 162, 917 is 1

GCD(432, 965, 162, 917) = 1

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

GCD of

GCD of numbers 432, 965, 162, 917 is 1

GCD(432, 965, 162, 917) = 1

GCD of 432,965,162,917 Calculator

GCDof 432,965,162,917 is 1

Given Input numbers are 432, 965, 162, 917

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 965

List of positive integer divisors of 965 that divides 965 without a remainder.

1, 5, 193, 965

Divisors of 162

List of positive integer divisors of 162 that divides 162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 917

List of positive integer divisors of 917 that divides 917 without a remainder.

1, 7, 131, 917

Greatest Common Divisior

We found the divisors of 432, 965, 162, 917 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 432, 965, 162, 917 is 1.

Therefore, GCD of numbers 432, 965, 162, 917 is 1

Finding GCD of 432, 965, 162, 917 using Prime Factorization

Given Input Data is 432, 965, 162, 917

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 965 is 5 x 193

Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3

Prime Factorization of 917 is 7 x 131

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

Finding GCD of 432, 965, 162, 917 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, 965) = 416880

GCD(432, 965) = ( 432 x 965 ) / 416880

GCD(432, 965) = 416880 / 416880

GCD(432, 965) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 162

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

LCM(1, 162) = 162

GCD(1, 162) = ( 1 x 162 ) / 162

GCD(1, 162) = 162 / 162

GCD(1, 162) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 917

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

LCM(1, 917) = 917

GCD(1, 917) = ( 1 x 917 ) / 917

GCD(1, 917) = 917 / 917

GCD(1, 917) = 1

GCD of 432, 965, 162, 917 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 432, 965, 162, 917

1. What is the GCD of 432, 965, 162, 917?

GCD of 432, 965, 162, 917 is 1


2. Where do I get the detailed procedure to find GCD of 432, 965, 162, 917?

You can find a detailed procedure to find GCD of 432, 965, 162, 917 on our page.


3. How to find GCD of 432, 965, 162, 917 on a calculator?

You can find the GCD of 432, 965, 162, 917 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.