GCD of 129, 414, 377, 542 Calculator

Given Input numbers are 129, 414, 377, 542

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 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 377

List of positive integer divisors of 377 that divides 377 without a remainder.

1, 13, 29, 377

Divisors of 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Greatest Common Divisior

We found the divisors of 129, 414, 377, 542 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 129, 414, 377, 542 is 1.

Therefore, GCD of numbers 129, 414, 377, 542 is 1

Given Input Data is 129, 414, 377, 542

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

Prime Factorization of 129 is 3 x 43

Prime Factorization of 414 is 2 x 3 x 3 x 23

Prime Factorization of 377 is 13 x 29

Prime Factorization of 542 is 2 x 271

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, 414) = 17802

GCD(129, 414) = ( 129 x 414 ) / 17802

GCD(129, 414) = 53406 / 17802

GCD(129, 414) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 377

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

LCM(3, 377) = 1131

GCD(3, 377) = ( 3 x 377 ) / 1131

GCD(3, 377) = 1131 / 1131

GCD(3, 377) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 542

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

LCM(1, 542) = 542

GCD(1, 542) = ( 1 x 542 ) / 542

GCD(1, 542) = 542 / 542

GCD(1, 542) = 1

GCD of 129, 414, 377, 542 is 1

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1. What is the GCD of 129, 414, 377, 542?

GCD of 129, 414, 377, 542 is 1

2. Where do I get the detailed procedure to find GCD of 129, 414, 377, 542?

You can find a detailed procedure to find GCD of 129, 414, 377, 542 on our page.

3. How to find GCD of 129, 414, 377, 542 on a calculator?

You can find the GCD of 129, 414, 377, 542 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.