GCD of 307, 822, 29, 109 Calculator

Given Input numbers are 307, 822, 29, 109

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

Divisors of 307

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

1, 307

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 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Greatest Common Divisior

We found the divisors of 307, 822, 29, 109 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 307, 822, 29, 109 is 1.

Therefore, GCD of numbers 307, 822, 29, 109 is 1

Given Input Data is 307, 822, 29, 109

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

Prime Factorization of 307 is 307

Prime Factorization of 822 is 2 x 3 x 137

Prime Factorization of 29 is 29

Prime Factorization of 109 is 109

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(307, 822) = 252354

GCD(307, 822) = ( 307 x 822 ) / 252354

GCD(307, 822) = 252354 / 252354

GCD(307, 822) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 29

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

LCM(1, 29) = 29

GCD(1, 29) = ( 1 x 29 ) / 29

GCD(1, 29) = 29 / 29

GCD(1, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 109

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

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

GCD(1, 109) = 109 / 109

GCD(1, 109) = 1

GCD of 307, 822, 29, 109 is 1

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1. What is the GCD of 307, 822, 29, 109?

GCD of 307, 822, 29, 109 is 1

2. Where do I get the detailed procedure to find GCD of 307, 822, 29, 109?

You can find a detailed procedure to find GCD of 307, 822, 29, 109 on our page.

3. How to find GCD of 307, 822, 29, 109 on a calculator?

You can find the GCD of 307, 822, 29, 109 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.