GCD of 116, 822, 703, 307 Calculator

Given Input numbers are 116, 822, 703, 307

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

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

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 703

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

1, 19, 37, 703

Divisors of 307

List of positive integer divisors of 307 that divides 307 without a remainder.

1, 307

Greatest Common Divisior

We found the divisors of 116, 822, 703, 307 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 116, 822, 703, 307 is 1.

Therefore, GCD of numbers 116, 822, 703, 307 is 1

Given Input Data is 116, 822, 703, 307

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

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 822 is 2 x 3 x 137

Prime Factorization of 703 is 19 x 37

Prime Factorization of 307 is 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(116, 822) = 47676

GCD(116, 822) = ( 116 x 822 ) / 47676

GCD(116, 822) = 95352 / 47676

GCD(116, 822) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 703

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

LCM(2, 703) = 1406

GCD(2, 703) = ( 2 x 703 ) / 1406

GCD(2, 703) = 1406 / 1406

GCD(2, 703) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 307

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

LCM(1, 307) = 307

GCD(1, 307) = ( 1 x 307 ) / 307

GCD(1, 307) = 307 / 307

GCD(1, 307) = 1

GCD of 116, 822, 703, 307 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 328, 476, 615, 683
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1. What is the GCD of 116, 822, 703, 307?

GCD of 116, 822, 703, 307 is 1

2. Where do I get the detailed procedure to find GCD of 116, 822, 703, 307?

You can find a detailed procedure to find GCD of 116, 822, 703, 307 on our page.

3. How to find GCD of 116, 822, 703, 307 on a calculator?

You can find the GCD of 116, 822, 703, 307 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.