GCD of 975, 257, 150, 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 975, 257, 150, 432 i.e. 1 largest integer that divides all the numbers equally.

GCD of 975, 257, 150, 432 is 1

GCD(975, 257, 150, 432) = 1

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

GCD of

GCD of numbers 975, 257, 150, 432 is 1

GCD(975, 257, 150, 432) = 1

GCD of 975,257,150,432 Calculator

GCDof 975,257,150,432 is 1

Given Input numbers are 975, 257, 150, 432

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

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 257

List of positive integer divisors of 257 that divides 257 without a remainder.

1, 257

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

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 975, 257, 150, 432 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 975, 257, 150, 432 is 1.

Therefore, GCD of numbers 975, 257, 150, 432 is 1

Finding GCD of 975, 257, 150, 432 using Prime Factorization

Given Input Data is 975, 257, 150, 432

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

Prime Factorization of 975 is 3 x 5 x 5 x 13

Prime Factorization of 257 is 257

Prime Factorization of 150 is 2 x 3 x 5 x 5

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 975, 257, 150, 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(975, 257) = 250575

GCD(975, 257) = ( 975 x 257 ) / 250575

GCD(975, 257) = 250575 / 250575

GCD(975, 257) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 150

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

LCM(1, 150) = 150

GCD(1, 150) = ( 1 x 150 ) / 150

GCD(1, 150) = 150 / 150

GCD(1, 150) = 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 975, 257, 150, 432 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 975, 257, 150, 432

1. What is the GCD of 975, 257, 150, 432?

GCD of 975, 257, 150, 432 is 1


2. Where do I get the detailed procedure to find GCD of 975, 257, 150, 432?

You can find a detailed procedure to find GCD of 975, 257, 150, 432 on our page.


3. How to find GCD of 975, 257, 150, 432 on a calculator?

You can find the GCD of 975, 257, 150, 432 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.