GCD of 687, 647, 75, 401 Calculator

Given Input numbers are 687, 647, 75, 401

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 647

List of positive integer divisors of 647 that divides 647 without a remainder.

1, 647

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 401

List of positive integer divisors of 401 that divides 401 without a remainder.

1, 401

Greatest Common Divisior

We found the divisors of 687, 647, 75, 401 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 687, 647, 75, 401 is 1.

Therefore, GCD of numbers 687, 647, 75, 401 is 1

Given Input Data is 687, 647, 75, 401

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

Prime Factorization of 687 is 3 x 229

Prime Factorization of 647 is 647

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 401 is 401

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, 647) = 444489

GCD(687, 647) = ( 687 x 647 ) / 444489

GCD(687, 647) = 444489 / 444489

GCD(687, 647) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 75

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

LCM(1, 75) = 75

GCD(1, 75) = ( 1 x 75 ) / 75

GCD(1, 75) = 75 / 75

GCD(1, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 401

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

LCM(1, 401) = 401

GCD(1, 401) = ( 1 x 401 ) / 401

GCD(1, 401) = 401 / 401

GCD(1, 401) = 1

GCD of 687, 647, 75, 401 is 1

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• GCD of 291, 404, 86, 764
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1. What is the GCD of 687, 647, 75, 401?

GCD of 687, 647, 75, 401 is 1

2. Where do I get the detailed procedure to find GCD of 687, 647, 75, 401?

You can find a detailed procedure to find GCD of 687, 647, 75, 401 on our page.

3. How to find GCD of 687, 647, 75, 401 on a calculator?

You can find the GCD of 687, 647, 75, 401 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.