GCD of 240, 689, 381, 580 Calculator

Given Input numbers are 240, 689, 381, 580

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

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

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

Greatest Common Divisior

We found the divisors of 240, 689, 381, 580 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 240, 689, 381, 580 is 1.

Therefore, GCD of numbers 240, 689, 381, 580 is 1

Given Input Data is 240, 689, 381, 580

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

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 689 is 13 x 53

Prime Factorization of 381 is 3 x 127

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

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(240, 689) = 165360

GCD(240, 689) = ( 240 x 689 ) / 165360

GCD(240, 689) = 165360 / 165360

GCD(240, 689) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 381

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

LCM(1, 381) = 381

GCD(1, 381) = ( 1 x 381 ) / 381

GCD(1, 381) = 381 / 381

GCD(1, 381) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 580

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

LCM(1, 580) = 580

GCD(1, 580) = ( 1 x 580 ) / 580

GCD(1, 580) = 580 / 580

GCD(1, 580) = 1

GCD of 240, 689, 381, 580 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 306, 883, 942, 536
• GCD of 281, 656, 537, 736
• GCD of 529, 127, 587, 981
• GCD of 387, 974, 679, 928
• GCD of 626, 402, 611, 845

1. What is the GCD of 240, 689, 381, 580?

GCD of 240, 689, 381, 580 is 1

2. Where do I get the detailed procedure to find GCD of 240, 689, 381, 580?

You can find a detailed procedure to find GCD of 240, 689, 381, 580 on our page.

3. How to find GCD of 240, 689, 381, 580 on a calculator?

You can find the GCD of 240, 689, 381, 580 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.