GCD of 822, 840, 430, 921 Calculator

Given Input numbers are 822, 840, 430, 921

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

Divisors of 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 430

List of positive integer divisors of 430 that divides 430 without a remainder.

1, 2, 5, 10, 43, 86, 215, 430

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Greatest Common Divisior

We found the divisors of 822, 840, 430, 921 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 822, 840, 430, 921 is 1.

Therefore, GCD of numbers 822, 840, 430, 921 is 1

Given Input Data is 822, 840, 430, 921

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

Prime Factorization of 822 is 2 x 3 x 137

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

Prime Factorization of 430 is 2 x 5 x 43

Prime Factorization of 921 is 3 x 307

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(822, 840) = 115080

GCD(822, 840) = ( 822 x 840 ) / 115080

GCD(822, 840) = 690480 / 115080

GCD(822, 840) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 430

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

LCM(6, 430) = 1290

GCD(6, 430) = ( 6 x 430 ) / 1290

GCD(6, 430) = 2580 / 1290

GCD(6, 430) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 921

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

LCM(2, 921) = 1842

GCD(2, 921) = ( 2 x 921 ) / 1842

GCD(2, 921) = 1842 / 1842

GCD(2, 921) = 1

GCD of 822, 840, 430, 921 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 198, 197, 998, 585
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• GCD of 820, 203, 106, 472

1. What is the GCD of 822, 840, 430, 921?

GCD of 822, 840, 430, 921 is 1

2. Where do I get the detailed procedure to find GCD of 822, 840, 430, 921?

You can find a detailed procedure to find GCD of 822, 840, 430, 921 on our page.

3. How to find GCD of 822, 840, 430, 921 on a calculator?

You can find the GCD of 822, 840, 430, 921 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.