GCD of 387, 580, 280, 107 Calculator

Given Input numbers are 387, 580, 280, 107

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

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Greatest Common Divisior

We found the divisors of 387, 580, 280, 107 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 387, 580, 280, 107 is 1.

Therefore, GCD of numbers 387, 580, 280, 107 is 1

Given Input Data is 387, 580, 280, 107

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

Prime Factorization of 387 is 3 x 3 x 43

Prime Factorization of 580 is 2 x 2 x 5 x 29

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

Prime Factorization of 107 is 107

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(387, 580) = 224460

GCD(387, 580) = ( 387 x 580 ) / 224460

GCD(387, 580) = 224460 / 224460

GCD(387, 580) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 280

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

LCM(1, 280) = 280

GCD(1, 280) = ( 1 x 280 ) / 280

GCD(1, 280) = 280 / 280

GCD(1, 280) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 107

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

LCM(1, 107) = 107

GCD(1, 107) = ( 1 x 107 ) / 107

GCD(1, 107) = 107 / 107

GCD(1, 107) = 1

GCD of 387, 580, 280, 107 is 1

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1. What is the GCD of 387, 580, 280, 107?

GCD of 387, 580, 280, 107 is 1

2. Where do I get the detailed procedure to find GCD of 387, 580, 280, 107?

You can find a detailed procedure to find GCD of 387, 580, 280, 107 on our page.

3. How to find GCD of 387, 580, 280, 107 on a calculator?

You can find the GCD of 387, 580, 280, 107 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.