GCD of 748, 859, 383, 339 Calculator

Given Input numbers are 748, 859, 383, 339

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

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 859

List of positive integer divisors of 859 that divides 859 without a remainder.

1, 859

Divisors of 383

List of positive integer divisors of 383 that divides 383 without a remainder.

1, 383

Divisors of 339

List of positive integer divisors of 339 that divides 339 without a remainder.

1, 3, 113, 339

Greatest Common Divisior

We found the divisors of 748, 859, 383, 339 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 859, 383, 339 is 1.

Therefore, GCD of numbers 748, 859, 383, 339 is 1

Given Input Data is 748, 859, 383, 339

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

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 859 is 859

Prime Factorization of 383 is 383

Prime Factorization of 339 is 3 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(748, 859) = 642532

GCD(748, 859) = ( 748 x 859 ) / 642532

GCD(748, 859) = 642532 / 642532

GCD(748, 859) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 383

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

LCM(1, 383) = 383

GCD(1, 383) = ( 1 x 383 ) / 383

GCD(1, 383) = 383 / 383

GCD(1, 383) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 339

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

LCM(1, 339) = 339

GCD(1, 339) = ( 1 x 339 ) / 339

GCD(1, 339) = 339 / 339

GCD(1, 339) = 1

GCD of 748, 859, 383, 339 is 1

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1. What is the GCD of 748, 859, 383, 339?

GCD of 748, 859, 383, 339 is 1

2. Where do I get the detailed procedure to find GCD of 748, 859, 383, 339?

You can find a detailed procedure to find GCD of 748, 859, 383, 339 on our page.

3. How to find GCD of 748, 859, 383, 339 on a calculator?

You can find the GCD of 748, 859, 383, 339 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.