GCD of 114, 129, 728, 937 Calculator

Given Input numbers are 114, 129, 728, 937

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

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 129

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

1, 3, 43, 129

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 937

List of positive integer divisors of 937 that divides 937 without a remainder.

1, 937

Greatest Common Divisior

We found the divisors of 114, 129, 728, 937 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 114, 129, 728, 937 is 1.

Therefore, GCD of numbers 114, 129, 728, 937 is 1

Given Input Data is 114, 129, 728, 937

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

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 129 is 3 x 43

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 937 is 937

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(114, 129) = 4902

GCD(114, 129) = ( 114 x 129 ) / 4902

GCD(114, 129) = 14706 / 4902

GCD(114, 129) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 728

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

LCM(3, 728) = 2184

GCD(3, 728) = ( 3 x 728 ) / 2184

GCD(3, 728) = 2184 / 2184

GCD(3, 728) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 937

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

LCM(1, 937) = 937

GCD(1, 937) = ( 1 x 937 ) / 937

GCD(1, 937) = 937 / 937

GCD(1, 937) = 1

GCD of 114, 129, 728, 937 is 1

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• GCD of 600, 902, 847, 778
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1. What is the GCD of 114, 129, 728, 937?

GCD of 114, 129, 728, 937 is 1

2. Where do I get the detailed procedure to find GCD of 114, 129, 728, 937?

You can find a detailed procedure to find GCD of 114, 129, 728, 937 on our page.

3. How to find GCD of 114, 129, 728, 937 on a calculator?

You can find the GCD of 114, 129, 728, 937 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.