GCD of 625, 355, 805, 687 Calculator

Given Input numbers are 625, 355, 805, 687

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

Divisors of 625

List of positive integer divisors of 625 that divides 625 without a remainder.

1, 5, 25, 125, 625

Divisors of 355

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

1, 5, 71, 355

Divisors of 805

List of positive integer divisors of 805 that divides 805 without a remainder.

1, 5, 7, 23, 35, 115, 161, 805

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 625, 355, 805, 687 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 625, 355, 805, 687 is 1.

Therefore, GCD of numbers 625, 355, 805, 687 is 1

Given Input Data is 625, 355, 805, 687

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

Prime Factorization of 625 is 5 x 5 x 5 x 5

Prime Factorization of 355 is 5 x 71

Prime Factorization of 805 is 5 x 7 x 23

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(625, 355) = 44375

GCD(625, 355) = ( 625 x 355 ) / 44375

GCD(625, 355) = 221875 / 44375

GCD(625, 355) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 805

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

LCM(5, 805) = 805

GCD(5, 805) = ( 5 x 805 ) / 805

GCD(5, 805) = 4025 / 805

GCD(5, 805) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 687

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

LCM(5, 687) = 3435

GCD(5, 687) = ( 5 x 687 ) / 3435

GCD(5, 687) = 3435 / 3435

GCD(5, 687) = 1

GCD of 625, 355, 805, 687 is 1

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1. What is the GCD of 625, 355, 805, 687?

GCD of 625, 355, 805, 687 is 1

2. Where do I get the detailed procedure to find GCD of 625, 355, 805, 687?

You can find a detailed procedure to find GCD of 625, 355, 805, 687 on our page.

3. How to find GCD of 625, 355, 805, 687 on a calculator?

You can find the GCD of 625, 355, 805, 687 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.