GCD of 204, 210, 67, 652 Calculator

Given Input numbers are 204, 210, 67, 652

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

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 210

List of positive integer divisors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Divisors of 652

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

1, 2, 4, 163, 326, 652

Greatest Common Divisior

We found the divisors of 204, 210, 67, 652 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 204, 210, 67, 652 is 1.

Therefore, GCD of numbers 204, 210, 67, 652 is 1

Given Input Data is 204, 210, 67, 652

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

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

Prime Factorization of 210 is 2 x 3 x 5 x 7

Prime Factorization of 67 is 67

Prime Factorization of 652 is 2 x 2 x 163

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(204, 210) = 7140

GCD(204, 210) = ( 204 x 210 ) / 7140

GCD(204, 210) = 42840 / 7140

GCD(204, 210) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 67

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

LCM(6, 67) = 402

GCD(6, 67) = ( 6 x 67 ) / 402

GCD(6, 67) = 402 / 402

GCD(6, 67) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 652

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

LCM(1, 652) = 652

GCD(1, 652) = ( 1 x 652 ) / 652

GCD(1, 652) = 652 / 652

GCD(1, 652) = 1

GCD of 204, 210, 67, 652 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 281, 404, 15, 389
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• GCD of 219, 806, 45, 800
• GCD of 205, 550, 67, 440
• GCD of 439, 643, 16, 829

1. What is the GCD of 204, 210, 67, 652?

GCD of 204, 210, 67, 652 is 1

2. Where do I get the detailed procedure to find GCD of 204, 210, 67, 652?

You can find a detailed procedure to find GCD of 204, 210, 67, 652 on our page.

3. How to find GCD of 204, 210, 67, 652 on a calculator?

You can find the GCD of 204, 210, 67, 652 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.