GCD of 243, 960, 177, 430 Calculator

Given Input numbers are 243, 960, 177, 430

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

Divisors of 243

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

1, 3, 9, 27, 81, 243

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 177

List of positive integer divisors of 177 that divides 177 without a remainder.

1, 3, 59, 177

Divisors of 430

List of positive integer divisors of 430 that divides 430 without a remainder.

1, 2, 5, 10, 43, 86, 215, 430

Greatest Common Divisior

We found the divisors of 243, 960, 177, 430 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 243, 960, 177, 430 is 1.

Therefore, GCD of numbers 243, 960, 177, 430 is 1

Given Input Data is 243, 960, 177, 430

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

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

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 177 is 3 x 59

Prime Factorization of 430 is 2 x 5 x 43

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

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(243, 960) = 77760

GCD(243, 960) = ( 243 x 960 ) / 77760

GCD(243, 960) = 233280 / 77760

GCD(243, 960) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 177

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

LCM(3, 177) = 177

GCD(3, 177) = ( 3 x 177 ) / 177

GCD(3, 177) = 531 / 177

GCD(3, 177) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 430

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

LCM(3, 430) = 1290

GCD(3, 430) = ( 3 x 430 ) / 1290

GCD(3, 430) = 1290 / 1290

GCD(3, 430) = 1

GCD of 243, 960, 177, 430 is 1

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1. What is the GCD of 243, 960, 177, 430?

GCD of 243, 960, 177, 430 is 1

2. Where do I get the detailed procedure to find GCD of 243, 960, 177, 430?

You can find a detailed procedure to find GCD of 243, 960, 177, 430 on our page.

3. How to find GCD of 243, 960, 177, 430 on a calculator?

You can find the GCD of 243, 960, 177, 430 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.