GCD of 364, 703, 822, 308 Calculator

Given Input numbers are 364, 703, 822, 308

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

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 703

List of positive integer divisors of 703 that divides 703 without a remainder.

1, 19, 37, 703

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 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Greatest Common Divisior

We found the divisors of 364, 703, 822, 308 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 364, 703, 822, 308 is 1.

Therefore, GCD of numbers 364, 703, 822, 308 is 1

Given Input Data is 364, 703, 822, 308

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

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 703 is 19 x 37

Prime Factorization of 822 is 2 x 3 x 137

Prime Factorization of 308 is 2 x 2 x 7 x 11

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(364, 703) = 255892

GCD(364, 703) = ( 364 x 703 ) / 255892

GCD(364, 703) = 255892 / 255892

GCD(364, 703) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 822

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

LCM(1, 822) = 822

GCD(1, 822) = ( 1 x 822 ) / 822

GCD(1, 822) = 822 / 822

GCD(1, 822) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 308

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

LCM(1, 308) = 308

GCD(1, 308) = ( 1 x 308 ) / 308

GCD(1, 308) = 308 / 308

GCD(1, 308) = 1

GCD of 364, 703, 822, 308 is 1

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1. What is the GCD of 364, 703, 822, 308?

GCD of 364, 703, 822, 308 is 1

2. Where do I get the detailed procedure to find GCD of 364, 703, 822, 308?

You can find a detailed procedure to find GCD of 364, 703, 822, 308 on our page.

3. How to find GCD of 364, 703, 822, 308 on a calculator?

You can find the GCD of 364, 703, 822, 308 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.