GCD of 687, 520, 680, 274 Calculator

Given Input numbers are 687, 520, 680, 274

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 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Greatest Common Divisior

We found the divisors of 687, 520, 680, 274 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 687, 520, 680, 274 is 1.

Therefore, GCD of numbers 687, 520, 680, 274 is 1

Given Input Data is 687, 520, 680, 274

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

Prime Factorization of 687 is 3 x 229

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Prime Factorization of 274 is 2 x 137

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, 520) = 357240

GCD(687, 520) = ( 687 x 520 ) / 357240

GCD(687, 520) = 357240 / 357240

GCD(687, 520) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 680

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

LCM(1, 680) = 680

GCD(1, 680) = ( 1 x 680 ) / 680

GCD(1, 680) = 680 / 680

GCD(1, 680) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 274

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

LCM(1, 274) = 274

GCD(1, 274) = ( 1 x 274 ) / 274

GCD(1, 274) = 274 / 274

GCD(1, 274) = 1

GCD of 687, 520, 680, 274 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 394, 124, 623, 944
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• GCD of 706, 155, 906, 254

1. What is the GCD of 687, 520, 680, 274?

GCD of 687, 520, 680, 274 is 1

2. Where do I get the detailed procedure to find GCD of 687, 520, 680, 274?

You can find a detailed procedure to find GCD of 687, 520, 680, 274 on our page.

3. How to find GCD of 687, 520, 680, 274 on a calculator?

You can find the GCD of 687, 520, 680, 274 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.