GCD of 380, 642, 57, 774 Calculator

Given Input numbers are 380, 642, 57, 774

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

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

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

Greatest Common Divisior

We found the divisors of 380, 642, 57, 774 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 380, 642, 57, 774 is 1.

Therefore, GCD of numbers 380, 642, 57, 774 is 1

Given Input Data is 380, 642, 57, 774

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

Prime Factorization of 380 is 2 x 2 x 5 x 19

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 57 is 3 x 19

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

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(380, 642) = 121980

GCD(380, 642) = ( 380 x 642 ) / 121980

GCD(380, 642) = 243960 / 121980

GCD(380, 642) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 57

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

LCM(2, 57) = 114

GCD(2, 57) = ( 2 x 57 ) / 114

GCD(2, 57) = 114 / 114

GCD(2, 57) = 1

Step3:

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

GCD of 380, 642, 57, 774 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 112, 816, 52, 495
• GCD of 169, 510, 44, 984
• GCD of 103, 344, 34, 429
• GCD of 450, 646, 74, 328
• GCD of 541, 125, 72, 420

1. What is the GCD of 380, 642, 57, 774?

GCD of 380, 642, 57, 774 is 1

2. Where do I get the detailed procedure to find GCD of 380, 642, 57, 774?

You can find a detailed procedure to find GCD of 380, 642, 57, 774 on our page.

3. How to find GCD of 380, 642, 57, 774 on a calculator?

You can find the GCD of 380, 642, 57, 774 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.