GCD of 867, 875, 584, 400 Calculator

Given Input numbers are 867, 875, 584, 400

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

Divisors of 867

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

1, 3, 17, 51, 289, 867

Divisors of 875

List of positive integer divisors of 875 that divides 875 without a remainder.

1, 5, 7, 25, 35, 125, 175, 875

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Greatest Common Divisior

We found the divisors of 867, 875, 584, 400 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 867, 875, 584, 400 is 1.

Therefore, GCD of numbers 867, 875, 584, 400 is 1

Given Input Data is 867, 875, 584, 400

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

Prime Factorization of 867 is 3 x 17 x 17

Prime Factorization of 875 is 5 x 5 x 5 x 7

Prime Factorization of 584 is 2 x 2 x 2 x 73

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

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(867, 875) = 758625

GCD(867, 875) = ( 867 x 875 ) / 758625

GCD(867, 875) = 758625 / 758625

GCD(867, 875) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 584

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

LCM(1, 584) = 584

GCD(1, 584) = ( 1 x 584 ) / 584

GCD(1, 584) = 584 / 584

GCD(1, 584) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 400

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

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

GCD(1, 400) = 400 / 400

GCD(1, 400) = 1

GCD of 867, 875, 584, 400 is 1

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1. What is the GCD of 867, 875, 584, 400?

GCD of 867, 875, 584, 400 is 1

2. Where do I get the detailed procedure to find GCD of 867, 875, 584, 400?

You can find a detailed procedure to find GCD of 867, 875, 584, 400 on our page.

3. How to find GCD of 867, 875, 584, 400 on a calculator?

You can find the GCD of 867, 875, 584, 400 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.