GCD of 652, 325, 204, 400 Calculator

Given Input numbers are 652, 325, 204, 400

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

Divisors of 652

List of positive integer divisors of 652 that divides 652 without a remainder.

1, 2, 4, 163, 326, 652

Divisors of 325

List of positive integer divisors of 325 that divides 325 without a remainder.

1, 5, 13, 25, 65, 325

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

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 652, 325, 204, 400 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 652, 325, 204, 400 is 1.

Therefore, GCD of numbers 652, 325, 204, 400 is 1

Given Input Data is 652, 325, 204, 400

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

Prime Factorization of 652 is 2 x 2 x 163

Prime Factorization of 325 is 5 x 5 x 13

Prime Factorization of 204 is 2 x 2 x 3 x 17

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(652, 325) = 211900

GCD(652, 325) = ( 652 x 325 ) / 211900

GCD(652, 325) = 211900 / 211900

GCD(652, 325) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 204

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

LCM(1, 204) = 204

GCD(1, 204) = ( 1 x 204 ) / 204

GCD(1, 204) = 204 / 204

GCD(1, 204) = 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 652, 325, 204, 400 is 1

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1. What is the GCD of 652, 325, 204, 400?

GCD of 652, 325, 204, 400 is 1

2. Where do I get the detailed procedure to find GCD of 652, 325, 204, 400?

You can find a detailed procedure to find GCD of 652, 325, 204, 400 on our page.

3. How to find GCD of 652, 325, 204, 400 on a calculator?

You can find the GCD of 652, 325, 204, 400 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.