GCD of 312, 398, 292, 129 Calculator

Given Input numbers are 312, 398, 292, 129

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

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Divisors of 129

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

1, 3, 43, 129

Greatest Common Divisior

We found the divisors of 312, 398, 292, 129 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 312, 398, 292, 129 is 1.

Therefore, GCD of numbers 312, 398, 292, 129 is 1

Given Input Data is 312, 398, 292, 129

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

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 398 is 2 x 199

Prime Factorization of 292 is 2 x 2 x 73

Prime Factorization of 129 is 3 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(312, 398) = 62088

GCD(312, 398) = ( 312 x 398 ) / 62088

GCD(312, 398) = 124176 / 62088

GCD(312, 398) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 292

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

LCM(2, 292) = 292

GCD(2, 292) = ( 2 x 292 ) / 292

GCD(2, 292) = 584 / 292

GCD(2, 292) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 129

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

LCM(2, 129) = 258

GCD(2, 129) = ( 2 x 129 ) / 258

GCD(2, 129) = 258 / 258

GCD(2, 129) = 1

GCD of 312, 398, 292, 129 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 394, 769, 232, 356
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• GCD of 100, 225, 697, 822

1. What is the GCD of 312, 398, 292, 129?

GCD of 312, 398, 292, 129 is 1

2. Where do I get the detailed procedure to find GCD of 312, 398, 292, 129?

You can find a detailed procedure to find GCD of 312, 398, 292, 129 on our page.

3. How to find GCD of 312, 398, 292, 129 on a calculator?

You can find the GCD of 312, 398, 292, 129 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.