GCD of 131, 677, 930, 489 Calculator

Given Input numbers are 131, 677, 930, 489

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 930

List of positive integer divisors of 930 that divides 930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

Divisors of 489

List of positive integer divisors of 489 that divides 489 without a remainder.

1, 3, 163, 489

Greatest Common Divisior

We found the divisors of 131, 677, 930, 489 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 131, 677, 930, 489 is 1.

Therefore, GCD of numbers 131, 677, 930, 489 is 1

Given Input Data is 131, 677, 930, 489

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 930 is 2 x 3 x 5 x 31

Prime Factorization of 489 is 3 x 163

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 930

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

LCM(1, 930) = 930

GCD(1, 930) = ( 1 x 930 ) / 930

GCD(1, 930) = 930 / 930

GCD(1, 930) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 489

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

LCM(1, 489) = 489

GCD(1, 489) = ( 1 x 489 ) / 489

GCD(1, 489) = 489 / 489

GCD(1, 489) = 1

GCD of 131, 677, 930, 489 is 1

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1. What is the GCD of 131, 677, 930, 489?

GCD of 131, 677, 930, 489 is 1

2. Where do I get the detailed procedure to find GCD of 131, 677, 930, 489?

You can find a detailed procedure to find GCD of 131, 677, 930, 489 on our page.

3. How to find GCD of 131, 677, 930, 489 on a calculator?

You can find the GCD of 131, 677, 930, 489 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.