GCD of 307, 238, 880, 318 Calculator

Given Input numbers are 307, 238, 880, 318

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 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 880

List of positive integer divisors of 880 that divides 880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Greatest Common Divisior

We found the divisors of 307, 238, 880, 318 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 307, 238, 880, 318 is 1.

Therefore, GCD of numbers 307, 238, 880, 318 is 1

Given Input Data is 307, 238, 880, 318

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

Prime Factorization of 307 is 307

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11

Prime Factorization of 318 is 2 x 3 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(307, 238) = 73066

GCD(307, 238) = ( 307 x 238 ) / 73066

GCD(307, 238) = 73066 / 73066

GCD(307, 238) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 880

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

LCM(1, 880) = 880

GCD(1, 880) = ( 1 x 880 ) / 880

GCD(1, 880) = 880 / 880

GCD(1, 880) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 318

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

LCM(1, 318) = 318

GCD(1, 318) = ( 1 x 318 ) / 318

GCD(1, 318) = 318 / 318

GCD(1, 318) = 1

GCD of 307, 238, 880, 318 is 1

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1. What is the GCD of 307, 238, 880, 318?

GCD of 307, 238, 880, 318 is 1

2. Where do I get the detailed procedure to find GCD of 307, 238, 880, 318?

You can find a detailed procedure to find GCD of 307, 238, 880, 318 on our page.

3. How to find GCD of 307, 238, 880, 318 on a calculator?

You can find the GCD of 307, 238, 880, 318 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.