GCD of 296, 594, 822, 901 Calculator

Given Input numbers are 296, 594, 822, 901

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

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 594

List of positive integer divisors of 594 that divides 594 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

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 901

List of positive integer divisors of 901 that divides 901 without a remainder.

1, 17, 53, 901

Greatest Common Divisior

We found the divisors of 296, 594, 822, 901 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 296, 594, 822, 901 is 1.

Therefore, GCD of numbers 296, 594, 822, 901 is 1

Given Input Data is 296, 594, 822, 901

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

Prime Factorization of 296 is 2 x 2 x 2 x 37

Prime Factorization of 594 is 2 x 3 x 3 x 3 x 11

Prime Factorization of 822 is 2 x 3 x 137

Prime Factorization of 901 is 17 x 53

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(296, 594) = 87912

GCD(296, 594) = ( 296 x 594 ) / 87912

GCD(296, 594) = 175824 / 87912

GCD(296, 594) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 822

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

LCM(2, 822) = 822

GCD(2, 822) = ( 2 x 822 ) / 822

GCD(2, 822) = 1644 / 822

GCD(2, 822) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 901

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

LCM(2, 901) = 1802

GCD(2, 901) = ( 2 x 901 ) / 1802

GCD(2, 901) = 1802 / 1802

GCD(2, 901) = 1

GCD of 296, 594, 822, 901 is 1

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1. What is the GCD of 296, 594, 822, 901?

GCD of 296, 594, 822, 901 is 1

2. Where do I get the detailed procedure to find GCD of 296, 594, 822, 901?

You can find a detailed procedure to find GCD of 296, 594, 822, 901 on our page.

3. How to find GCD of 296, 594, 822, 901 on a calculator?

You can find the GCD of 296, 594, 822, 901 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.