GCD of 66, 971, 438, 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 66, 971, 438, 432 i.e. 1 largest integer that divides all the numbers equally.

GCD of 66, 971, 438, 432 is 1

GCD(66, 971, 438, 432) = 1

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

GCD of

GCD of numbers 66, 971, 438, 432 is 1

GCD(66, 971, 438, 432) = 1

GCD of 66,971,438,432 Calculator

GCDof 66,971,438,432 is 1

Given Input numbers are 66, 971, 438, 432

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

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 971

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

1, 971

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

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 66, 971, 438, 432 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 66, 971, 438, 432 is 1.

Therefore, GCD of numbers 66, 971, 438, 432 is 1

Finding GCD of 66, 971, 438, 432 using Prime Factorization

Given Input Data is 66, 971, 438, 432

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

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 971 is 971

Prime Factorization of 438 is 2 x 3 x 73

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 66, 971, 438, 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(66, 971) = 64086

GCD(66, 971) = ( 66 x 971 ) / 64086

GCD(66, 971) = 64086 / 64086

GCD(66, 971) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 438

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

LCM(1, 438) = 438

GCD(1, 438) = ( 1 x 438 ) / 438

GCD(1, 438) = 438 / 438

GCD(1, 438) = 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 66, 971, 438, 432 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 66, 971, 438, 432

1. What is the GCD of 66, 971, 438, 432?

GCD of 66, 971, 438, 432 is 1


2. Where do I get the detailed procedure to find GCD of 66, 971, 438, 432?

You can find a detailed procedure to find GCD of 66, 971, 438, 432 on our page.


3. How to find GCD of 66, 971, 438, 432 on a calculator?

You can find the GCD of 66, 971, 438, 432 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.