GCD of 821, 878, 21, 612 Calculator

Given Input numbers are 821, 878, 21, 612

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

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Divisors of 878

List of positive integer divisors of 878 that divides 878 without a remainder.

1, 2, 439, 878

Divisors of 21

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

1, 3, 7, 21

Divisors of 612

List of positive integer divisors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Greatest Common Divisior

We found the divisors of 821, 878, 21, 612 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 821, 878, 21, 612 is 1.

Therefore, GCD of numbers 821, 878, 21, 612 is 1

Given Input Data is 821, 878, 21, 612

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

Prime Factorization of 821 is 821

Prime Factorization of 878 is 2 x 439

Prime Factorization of 21 is 3 x 7

Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17

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(821, 878) = 720838

GCD(821, 878) = ( 821 x 878 ) / 720838

GCD(821, 878) = 720838 / 720838

GCD(821, 878) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 612

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

LCM(1, 612) = 612

GCD(1, 612) = ( 1 x 612 ) / 612

GCD(1, 612) = 612 / 612

GCD(1, 612) = 1

GCD of 821, 878, 21, 612 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 876, 688, 57, 255
• GCD of 543, 390, 21, 277
• GCD of 282, 242, 57, 864
• GCD of 280, 586, 96, 203
• GCD of 301, 781, 99, 525

1. What is the GCD of 821, 878, 21, 612?

GCD of 821, 878, 21, 612 is 1

2. Where do I get the detailed procedure to find GCD of 821, 878, 21, 612?

You can find a detailed procedure to find GCD of 821, 878, 21, 612 on our page.

3. How to find GCD of 821, 878, 21, 612 on a calculator?

You can find the GCD of 821, 878, 21, 612 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.