GCD of 285, 700, 872, 608 Calculator

Given Input numbers are 285, 700, 872, 608

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

Divisors of 285

List of positive integer divisors of 285 that divides 285 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Greatest Common Divisior

We found the divisors of 285, 700, 872, 608 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 285, 700, 872, 608 is 1.

Therefore, GCD of numbers 285, 700, 872, 608 is 1

Given Input Data is 285, 700, 872, 608

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

Prime Factorization of 285 is 3 x 5 x 19

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 872 is 2 x 2 x 2 x 109

Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 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(285, 700) = 39900

GCD(285, 700) = ( 285 x 700 ) / 39900

GCD(285, 700) = 199500 / 39900

GCD(285, 700) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 872

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

LCM(5, 872) = 4360

GCD(5, 872) = ( 5 x 872 ) / 4360

GCD(5, 872) = 4360 / 4360

GCD(5, 872) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 608

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

LCM(1, 608) = 608

GCD(1, 608) = ( 1 x 608 ) / 608

GCD(1, 608) = 608 / 608

GCD(1, 608) = 1

GCD of 285, 700, 872, 608 is 1

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1. What is the GCD of 285, 700, 872, 608?

GCD of 285, 700, 872, 608 is 1

2. Where do I get the detailed procedure to find GCD of 285, 700, 872, 608?

You can find a detailed procedure to find GCD of 285, 700, 872, 608 on our page.

3. How to find GCD of 285, 700, 872, 608 on a calculator?

You can find the GCD of 285, 700, 872, 608 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.