GCD of 420, 261, 68, 504 Calculator

Given Input numbers are 420, 261, 68, 504

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

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Greatest Common Divisior

We found the divisors of 420, 261, 68, 504 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 261, 68, 504 is 1.

Therefore, GCD of numbers 420, 261, 68, 504 is 1

Given Input Data is 420, 261, 68, 504

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

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 261 is 3 x 3 x 29

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

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(420, 261) = 36540

GCD(420, 261) = ( 420 x 261 ) / 36540

GCD(420, 261) = 109620 / 36540

GCD(420, 261) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 68

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

LCM(3, 68) = 204

GCD(3, 68) = ( 3 x 68 ) / 204

GCD(3, 68) = 204 / 204

GCD(3, 68) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 504

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

LCM(1, 504) = 504

GCD(1, 504) = ( 1 x 504 ) / 504

GCD(1, 504) = 504 / 504

GCD(1, 504) = 1

GCD of 420, 261, 68, 504 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 412, 589, 64, 461
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• GCD of 775, 380, 62, 224

1. What is the GCD of 420, 261, 68, 504?

GCD of 420, 261, 68, 504 is 1

2. Where do I get the detailed procedure to find GCD of 420, 261, 68, 504?

You can find a detailed procedure to find GCD of 420, 261, 68, 504 on our page.

3. How to find GCD of 420, 261, 68, 504 on a calculator?

You can find the GCD of 420, 261, 68, 504 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.