GCD of 61, 243, 969, 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 61, 243, 969, 432 i.e. 1 largest integer that divides all the numbers equally.

GCD of 61, 243, 969, 432 is 1

GCD(61, 243, 969, 432) = 1

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

GCD of

GCD of numbers 61, 243, 969, 432 is 1

GCD(61, 243, 969, 432) = 1

GCD of 61,243,969,432 Calculator

GCDof 61,243,969,432 is 1

Given Input numbers are 61, 243, 969, 432

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

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 243

List of positive integer divisors of 243 that divides 243 without a remainder.

1, 3, 9, 27, 81, 243

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

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 61, 243, 969, 432 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 61, 243, 969, 432 is 1.

Therefore, GCD of numbers 61, 243, 969, 432 is 1

Finding GCD of 61, 243, 969, 432 using Prime Factorization

Given Input Data is 61, 243, 969, 432

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

Prime Factorization of 61 is 61

Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3

Prime Factorization of 969 is 3 x 17 x 19

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 61, 243, 969, 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(61, 243) = 14823

GCD(61, 243) = ( 61 x 243 ) / 14823

GCD(61, 243) = 14823 / 14823

GCD(61, 243) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 969

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

LCM(1, 969) = 969

GCD(1, 969) = ( 1 x 969 ) / 969

GCD(1, 969) = 969 / 969

GCD(1, 969) = 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 61, 243, 969, 432 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 61, 243, 969, 432

1. What is the GCD of 61, 243, 969, 432?

GCD of 61, 243, 969, 432 is 1


2. Where do I get the detailed procedure to find GCD of 61, 243, 969, 432?

You can find a detailed procedure to find GCD of 61, 243, 969, 432 on our page.


3. How to find GCD of 61, 243, 969, 432 on a calculator?

You can find the GCD of 61, 243, 969, 432 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.