GCD of 21, 872, 268, 360 Calculator

Given Input numbers are 21, 872, 268, 360

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

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Greatest Common Divisior

We found the divisors of 21, 872, 268, 360 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 21, 872, 268, 360 is 1.

Therefore, GCD of numbers 21, 872, 268, 360 is 1

Given Input Data is 21, 872, 268, 360

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

Prime Factorization of 21 is 3 x 7

Prime Factorization of 872 is 2 x 2 x 2 x 109

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 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(21, 872) = 18312

GCD(21, 872) = ( 21 x 872 ) / 18312

GCD(21, 872) = 18312 / 18312

GCD(21, 872) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 268

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

LCM(1, 268) = 268

GCD(1, 268) = ( 1 x 268 ) / 268

GCD(1, 268) = 268 / 268

GCD(1, 268) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 360

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

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

GCD(1, 360) = 360 / 360

GCD(1, 360) = 1

GCD of 21, 872, 268, 360 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 12, 726, 662, 829
• GCD of 54, 865, 415, 508
• GCD of 67, 941, 240, 462
• GCD of 42, 410, 809, 924
• GCD of 51, 995, 444, 329

1. What is the GCD of 21, 872, 268, 360?

GCD of 21, 872, 268, 360 is 1

2. Where do I get the detailed procedure to find GCD of 21, 872, 268, 360?

You can find a detailed procedure to find GCD of 21, 872, 268, 360 on our page.

3. How to find GCD of 21, 872, 268, 360 on a calculator?

You can find the GCD of 21, 872, 268, 360 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.