GCD of 131, 677, 307, 300 Calculator

Given Input numbers are 131, 677, 307, 300

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

Divisors of 131

List of positive integer divisors of 131 that divides 131 without a remainder.

1, 131

Divisors of 677

List of positive integer divisors of 677 that divides 677 without a remainder.

1, 677

Divisors of 307

List of positive integer divisors of 307 that divides 307 without a remainder.

1, 307

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Greatest Common Divisior

We found the divisors of 131, 677, 307, 300 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 131, 677, 307, 300 is 1.

Therefore, GCD of numbers 131, 677, 307, 300 is 1

Given Input Data is 131, 677, 307, 300

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

Prime Factorization of 131 is 131

Prime Factorization of 677 is 677

Prime Factorization of 307 is 307

Prime Factorization of 300 is 2 x 2 x 3 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(131, 677) = 88687

GCD(131, 677) = ( 131 x 677 ) / 88687

GCD(131, 677) = 88687 / 88687

GCD(131, 677) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 307

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

LCM(1, 307) = 307

GCD(1, 307) = ( 1 x 307 ) / 307

GCD(1, 307) = 307 / 307

GCD(1, 307) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 300

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

LCM(1, 300) = 300

GCD(1, 300) = ( 1 x 300 ) / 300

GCD(1, 300) = 300 / 300

GCD(1, 300) = 1

GCD of 131, 677, 307, 300 is 1

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1. What is the GCD of 131, 677, 307, 300?

GCD of 131, 677, 307, 300 is 1

2. Where do I get the detailed procedure to find GCD of 131, 677, 307, 300?

You can find a detailed procedure to find GCD of 131, 677, 307, 300 on our page.

3. How to find GCD of 131, 677, 307, 300 on a calculator?

You can find the GCD of 131, 677, 307, 300 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.