GCD of 687, 957, 727, 991 Calculator

Given Input numbers are 687, 957, 727, 991

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

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Divisors of 957

List of positive integer divisors of 957 that divides 957 without a remainder.

1, 3, 11, 29, 33, 87, 319, 957

Divisors of 727

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

1, 727

Divisors of 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

Greatest Common Divisior

We found the divisors of 687, 957, 727, 991 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 687, 957, 727, 991 is 1.

Therefore, GCD of numbers 687, 957, 727, 991 is 1

Given Input Data is 687, 957, 727, 991

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

Prime Factorization of 687 is 3 x 229

Prime Factorization of 957 is 3 x 11 x 29

Prime Factorization of 727 is 727

Prime Factorization of 991 is 991

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(687, 957) = 219153

GCD(687, 957) = ( 687 x 957 ) / 219153

GCD(687, 957) = 657459 / 219153

GCD(687, 957) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 727

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

LCM(3, 727) = 2181

GCD(3, 727) = ( 3 x 727 ) / 2181

GCD(3, 727) = 2181 / 2181

GCD(3, 727) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 991

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

LCM(1, 991) = 991

GCD(1, 991) = ( 1 x 991 ) / 991

GCD(1, 991) = 991 / 991

GCD(1, 991) = 1

GCD of 687, 957, 727, 991 is 1

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1. What is the GCD of 687, 957, 727, 991?

GCD of 687, 957, 727, 991 is 1

2. Where do I get the detailed procedure to find GCD of 687, 957, 727, 991?

You can find a detailed procedure to find GCD of 687, 957, 727, 991 on our page.

3. How to find GCD of 687, 957, 727, 991 on a calculator?

You can find the GCD of 687, 957, 727, 991 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.