GCD of 338, 123, 774, 763 Calculator

Given Input numbers are 338, 123, 774, 763

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

Divisors of 338

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

1, 2, 13, 26, 169, 338

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 763

List of positive integer divisors of 763 that divides 763 without a remainder.

1, 7, 109, 763

Greatest Common Divisior

We found the divisors of 338, 123, 774, 763 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 338, 123, 774, 763 is 1.

Therefore, GCD of numbers 338, 123, 774, 763 is 1

Given Input Data is 338, 123, 774, 763

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

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 123 is 3 x 41

Prime Factorization of 774 is 2 x 3 x 3 x 43

Prime Factorization of 763 is 7 x 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(338, 123) = 41574

GCD(338, 123) = ( 338 x 123 ) / 41574

GCD(338, 123) = 41574 / 41574

GCD(338, 123) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 774

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

LCM(1, 774) = 774

GCD(1, 774) = ( 1 x 774 ) / 774

GCD(1, 774) = 774 / 774

GCD(1, 774) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 763

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

LCM(1, 763) = 763

GCD(1, 763) = ( 1 x 763 ) / 763

GCD(1, 763) = 763 / 763

GCD(1, 763) = 1

GCD of 338, 123, 774, 763 is 1

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1. What is the GCD of 338, 123, 774, 763?

GCD of 338, 123, 774, 763 is 1

2. Where do I get the detailed procedure to find GCD of 338, 123, 774, 763?

You can find a detailed procedure to find GCD of 338, 123, 774, 763 on our page.

3. How to find GCD of 338, 123, 774, 763 on a calculator?

You can find the GCD of 338, 123, 774, 763 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.