GCD of 34, 286, 625, 867 Calculator

Given Input numbers are 34, 286, 625, 867

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

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Divisors of 625

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

1, 5, 25, 125, 625

Divisors of 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Greatest Common Divisior

We found the divisors of 34, 286, 625, 867 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 34, 286, 625, 867 is 1.

Therefore, GCD of numbers 34, 286, 625, 867 is 1

Given Input Data is 34, 286, 625, 867

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

Prime Factorization of 34 is 2 x 17

Prime Factorization of 286 is 2 x 11 x 13

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

Prime Factorization of 867 is 3 x 17 x 17

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(34, 286) = 4862

GCD(34, 286) = ( 34 x 286 ) / 4862

GCD(34, 286) = 9724 / 4862

GCD(34, 286) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 625

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

LCM(2, 625) = 1250

GCD(2, 625) = ( 2 x 625 ) / 1250

GCD(2, 625) = 1250 / 1250

GCD(2, 625) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 867

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

LCM(1, 867) = 867

GCD(1, 867) = ( 1 x 867 ) / 867

GCD(1, 867) = 867 / 867

GCD(1, 867) = 1

GCD of 34, 286, 625, 867 is 1

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1. What is the GCD of 34, 286, 625, 867?

GCD of 34, 286, 625, 867 is 1

2. Where do I get the detailed procedure to find GCD of 34, 286, 625, 867?

You can find a detailed procedure to find GCD of 34, 286, 625, 867 on our page.

3. How to find GCD of 34, 286, 625, 867 on a calculator?

You can find the GCD of 34, 286, 625, 867 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.