GCD of 687, 730, 355, 456 Calculator

Given Input numbers are 687, 730, 355, 456

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 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Greatest Common Divisior

We found the divisors of 687, 730, 355, 456 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 687, 730, 355, 456 is 1.

Therefore, GCD of numbers 687, 730, 355, 456 is 1

Given Input Data is 687, 730, 355, 456

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

Prime Factorization of 687 is 3 x 229

Prime Factorization of 730 is 2 x 5 x 73

Prime Factorization of 355 is 5 x 71

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

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, 730) = 501510

GCD(687, 730) = ( 687 x 730 ) / 501510

GCD(687, 730) = 501510 / 501510

GCD(687, 730) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 355

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

LCM(1, 355) = 355

GCD(1, 355) = ( 1 x 355 ) / 355

GCD(1, 355) = 355 / 355

GCD(1, 355) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 456

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

LCM(1, 456) = 456

GCD(1, 456) = ( 1 x 456 ) / 456

GCD(1, 456) = 456 / 456

GCD(1, 456) = 1

GCD of 687, 730, 355, 456 is 1

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• GCD of 269, 189, 398, 688
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1. What is the GCD of 687, 730, 355, 456?

GCD of 687, 730, 355, 456 is 1

2. Where do I get the detailed procedure to find GCD of 687, 730, 355, 456?

You can find a detailed procedure to find GCD of 687, 730, 355, 456 on our page.

3. How to find GCD of 687, 730, 355, 456 on a calculator?

You can find the GCD of 687, 730, 355, 456 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.