GCD of 687, 470, 378 Calculator

Given Input numbers are 687, 470, 378

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 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Greatest Common Divisior

We found the divisors of 687, 470, 378 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 687, 470, 378 is 1.

Therefore, GCD of numbers 687, 470, 378 is 1

Given Input Data is 687, 470, 378

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

Prime Factorization of 687 is 3 x 229

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

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, 470) = 322890

GCD(687, 470) = ( 687 x 470 ) / 322890

GCD(687, 470) = 322890 / 322890

GCD(687, 470) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 378

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

LCM(1, 378) = 378

GCD(1, 378) = ( 1 x 378 ) / 378

GCD(1, 378) = 378 / 378

GCD(1, 378) = 1

GCD of 687, 470, 378 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 399, 180, 542
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• GCD of 687, 402, 948
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1. What is the GCD of 687, 470, 378?

GCD of 687, 470, 378 is 1

2. Where do I get the detailed procedure to find GCD of 687, 470, 378?

You can find a detailed procedure to find GCD of 687, 470, 378 on our page.

3. How to find GCD of 687, 470, 378 on a calculator?

You can find the GCD of 687, 470, 378 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.