GCD of 756, 307, 338, 805 Calculator

Given Input numbers are 756, 307, 338, 805

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

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 307

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

1, 307

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 805

List of positive integer divisors of 805 that divides 805 without a remainder.

1, 5, 7, 23, 35, 115, 161, 805

Greatest Common Divisior

We found the divisors of 756, 307, 338, 805 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 756, 307, 338, 805 is 1.

Therefore, GCD of numbers 756, 307, 338, 805 is 1

Given Input Data is 756, 307, 338, 805

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

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 307 is 307

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 805 is 5 x 7 x 23

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(756, 307) = 232092

GCD(756, 307) = ( 756 x 307 ) / 232092

GCD(756, 307) = 232092 / 232092

GCD(756, 307) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 338

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

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

GCD(1, 338) = 338 / 338

GCD(1, 338) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 805

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

LCM(1, 805) = 805

GCD(1, 805) = ( 1 x 805 ) / 805

GCD(1, 805) = 805 / 805

GCD(1, 805) = 1

GCD of 756, 307, 338, 805 is 1

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1. What is the GCD of 756, 307, 338, 805?

GCD of 756, 307, 338, 805 is 1

2. Where do I get the detailed procedure to find GCD of 756, 307, 338, 805?

You can find a detailed procedure to find GCD of 756, 307, 338, 805 on our page.

3. How to find GCD of 756, 307, 338, 805 on a calculator?

You can find the GCD of 756, 307, 338, 805 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.