GCD of 821, 242, 76, 630 Calculator

Given Input numbers are 821, 242, 76, 630

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 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 630

List of positive integer divisors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Greatest Common Divisior

We found the divisors of 821, 242, 76, 630 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 821, 242, 76, 630 is 1.

Therefore, GCD of numbers 821, 242, 76, 630 is 1

Given Input Data is 821, 242, 76, 630

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

Prime Factorization of 821 is 821

Prime Factorization of 242 is 2 x 11 x 11

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 630 is 2 x 3 x 3 x 5 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(821, 242) = 198682

GCD(821, 242) = ( 821 x 242 ) / 198682

GCD(821, 242) = 198682 / 198682

GCD(821, 242) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 76

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

LCM(1, 76) = 76

GCD(1, 76) = ( 1 x 76 ) / 76

GCD(1, 76) = 76 / 76

GCD(1, 76) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 630

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

LCM(1, 630) = 630

GCD(1, 630) = ( 1 x 630 ) / 630

GCD(1, 630) = 630 / 630

GCD(1, 630) = 1

GCD of 821, 242, 76, 630 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 772, 836, 25, 210
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• GCD of 901, 776, 13, 486
• GCD of 468, 443, 22, 131
• GCD of 438, 468, 16, 814

1. What is the GCD of 821, 242, 76, 630?

GCD of 821, 242, 76, 630 is 1

2. Where do I get the detailed procedure to find GCD of 821, 242, 76, 630?

You can find a detailed procedure to find GCD of 821, 242, 76, 630 on our page.

3. How to find GCD of 821, 242, 76, 630 on a calculator?

You can find the GCD of 821, 242, 76, 630 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.