GCD of 390, 654, 374, 687 Calculator

Given Input numbers are 390, 654, 374, 687

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

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Greatest Common Divisior

We found the divisors of 390, 654, 374, 687 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 390, 654, 374, 687 is 1.

Therefore, GCD of numbers 390, 654, 374, 687 is 1

Given Input Data is 390, 654, 374, 687

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

Prime Factorization of 390 is 2 x 3 x 5 x 13

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 374 is 2 x 11 x 17

Prime Factorization of 687 is 3 x 229

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(390, 654) = 42510

GCD(390, 654) = ( 390 x 654 ) / 42510

GCD(390, 654) = 255060 / 42510

GCD(390, 654) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 374

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

LCM(6, 374) = 1122

GCD(6, 374) = ( 6 x 374 ) / 1122

GCD(6, 374) = 2244 / 1122

GCD(6, 374) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 687

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

LCM(2, 687) = 1374

GCD(2, 687) = ( 2 x 687 ) / 1374

GCD(2, 687) = 1374 / 1374

GCD(2, 687) = 1

GCD of 390, 654, 374, 687 is 1

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1. What is the GCD of 390, 654, 374, 687?

GCD of 390, 654, 374, 687 is 1

2. Where do I get the detailed procedure to find GCD of 390, 654, 374, 687?

You can find a detailed procedure to find GCD of 390, 654, 374, 687 on our page.

3. How to find GCD of 390, 654, 374, 687 on a calculator?

You can find the GCD of 390, 654, 374, 687 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.