GCD of 129, 471, 432, 340 Calculator

Given Input numbers are 129, 471, 432, 340

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

Divisors of 129

List of positive integer divisors of 129 that divides 129 without a remainder.

1, 3, 43, 129

Divisors of 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

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 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Greatest Common Divisior

We found the divisors of 129, 471, 432, 340 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 129, 471, 432, 340 is 1.

Therefore, GCD of numbers 129, 471, 432, 340 is 1

Given Input Data is 129, 471, 432, 340

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

Prime Factorization of 129 is 3 x 43

Prime Factorization of 471 is 3 x 157

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 340 is 2 x 2 x 5 x 17

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(129, 471) = 20253

GCD(129, 471) = ( 129 x 471 ) / 20253

GCD(129, 471) = 60759 / 20253

GCD(129, 471) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 432

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

LCM(3, 432) = 432

GCD(3, 432) = ( 3 x 432 ) / 432

GCD(3, 432) = 1296 / 432

GCD(3, 432) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 340

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

LCM(3, 340) = 1020

GCD(3, 340) = ( 3 x 340 ) / 1020

GCD(3, 340) = 1020 / 1020

GCD(3, 340) = 1

GCD of 129, 471, 432, 340 is 1

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1. What is the GCD of 129, 471, 432, 340?

GCD of 129, 471, 432, 340 is 1

2. Where do I get the detailed procedure to find GCD of 129, 471, 432, 340?

You can find a detailed procedure to find GCD of 129, 471, 432, 340 on our page.

3. How to find GCD of 129, 471, 432, 340 on a calculator?

You can find the GCD of 129, 471, 432, 340 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.