GCD of 311, 714, 59, 904 Calculator

Given Input numbers are 311, 714, 59, 904

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

Divisors of 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Greatest Common Divisior

We found the divisors of 311, 714, 59, 904 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 311, 714, 59, 904 is 1.

Therefore, GCD of numbers 311, 714, 59, 904 is 1

Given Input Data is 311, 714, 59, 904

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

Prime Factorization of 311 is 311

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 59 is 59

Prime Factorization of 904 is 2 x 2 x 2 x 113

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(311, 714) = 222054

GCD(311, 714) = ( 311 x 714 ) / 222054

GCD(311, 714) = 222054 / 222054

GCD(311, 714) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 59

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

LCM(1, 59) = 59

GCD(1, 59) = ( 1 x 59 ) / 59

GCD(1, 59) = 59 / 59

GCD(1, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 904

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

LCM(1, 904) = 904

GCD(1, 904) = ( 1 x 904 ) / 904

GCD(1, 904) = 904 / 904

GCD(1, 904) = 1

GCD of 311, 714, 59, 904 is 1

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• GCD of 724, 756, 83, 544
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1. What is the GCD of 311, 714, 59, 904?

GCD of 311, 714, 59, 904 is 1

2. Where do I get the detailed procedure to find GCD of 311, 714, 59, 904?

You can find a detailed procedure to find GCD of 311, 714, 59, 904 on our page.

3. How to find GCD of 311, 714, 59, 904 on a calculator?

You can find the GCD of 311, 714, 59, 904 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.