GCD of 727, 312, 994, 100 Calculator

Given Input numbers are 727, 312, 994, 100

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

Divisors of 727

List of positive integer divisors of 727 that divides 727 without a remainder.

1, 727

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 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Greatest Common Divisior

We found the divisors of 727, 312, 994, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 727, 312, 994, 100 is 1.

Therefore, GCD of numbers 727, 312, 994, 100 is 1

Given Input Data is 727, 312, 994, 100

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

Prime Factorization of 727 is 727

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

Prime Factorization of 994 is 2 x 7 x 71

Prime Factorization of 100 is 2 x 2 x 5 x 5

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(727, 312) = 226824

GCD(727, 312) = ( 727 x 312 ) / 226824

GCD(727, 312) = 226824 / 226824

GCD(727, 312) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 994

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

LCM(1, 994) = 994

GCD(1, 994) = ( 1 x 994 ) / 994

GCD(1, 994) = 994 / 994

GCD(1, 994) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 100

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

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

GCD(1, 100) = 100 / 100

GCD(1, 100) = 1

GCD of 727, 312, 994, 100 is 1

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• GCD of 556, 977, 782, 725
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1. What is the GCD of 727, 312, 994, 100?

GCD of 727, 312, 994, 100 is 1

2. Where do I get the detailed procedure to find GCD of 727, 312, 994, 100?

You can find a detailed procedure to find GCD of 727, 312, 994, 100 on our page.

3. How to find GCD of 727, 312, 994, 100 on a calculator?

You can find the GCD of 727, 312, 994, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.