GCD of 821, 268, 21, 516 Calculator

Given Input numbers are 821, 268, 21, 516

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 268

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

1, 2, 4, 67, 134, 268

Divisors of 21

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

1, 3, 7, 21

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Greatest Common Divisior

We found the divisors of 821, 268, 21, 516 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 821, 268, 21, 516 is 1.

Therefore, GCD of numbers 821, 268, 21, 516 is 1

Given Input Data is 821, 268, 21, 516

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

Prime Factorization of 821 is 821

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 21 is 3 x 7

Prime Factorization of 516 is 2 x 2 x 3 x 43

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, 268) = 220028

GCD(821, 268) = ( 821 x 268 ) / 220028

GCD(821, 268) = 220028 / 220028

GCD(821, 268) = 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 516

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

LCM(1, 516) = 516

GCD(1, 516) = ( 1 x 516 ) / 516

GCD(1, 516) = 516 / 516

GCD(1, 516) = 1

GCD of 821, 268, 21, 516 is 1

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1. What is the GCD of 821, 268, 21, 516?

GCD of 821, 268, 21, 516 is 1

2. Where do I get the detailed procedure to find GCD of 821, 268, 21, 516?

You can find a detailed procedure to find GCD of 821, 268, 21, 516 on our page.

3. How to find GCD of 821, 268, 21, 516 on a calculator?

You can find the GCD of 821, 268, 21, 516 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.