GCD of 57, 694, 381, 344 Calculator

Given Input numbers are 57, 694, 381, 344

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

Divisors of 57

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

1, 3, 19, 57

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Greatest Common Divisior

We found the divisors of 57, 694, 381, 344 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 57, 694, 381, 344 is 1.

Therefore, GCD of numbers 57, 694, 381, 344 is 1

Given Input Data is 57, 694, 381, 344

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

Prime Factorization of 57 is 3 x 19

Prime Factorization of 694 is 2 x 347

Prime Factorization of 381 is 3 x 127

Prime Factorization of 344 is 2 x 2 x 2 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(57, 694) = 39558

GCD(57, 694) = ( 57 x 694 ) / 39558

GCD(57, 694) = 39558 / 39558

GCD(57, 694) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 381

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

LCM(1, 381) = 381

GCD(1, 381) = ( 1 x 381 ) / 381

GCD(1, 381) = 381 / 381

GCD(1, 381) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 344

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

LCM(1, 344) = 344

GCD(1, 344) = ( 1 x 344 ) / 344

GCD(1, 344) = 344 / 344

GCD(1, 344) = 1

GCD of 57, 694, 381, 344 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 22, 834, 473, 757
• GCD of 11, 363, 921, 359
• GCD of 18, 199, 965, 581
• GCD of 36, 565, 792, 562
• GCD of 41, 816, 432, 943

1. What is the GCD of 57, 694, 381, 344?

GCD of 57, 694, 381, 344 is 1

2. Where do I get the detailed procedure to find GCD of 57, 694, 381, 344?

You can find a detailed procedure to find GCD of 57, 694, 381, 344 on our page.

3. How to find GCD of 57, 694, 381, 344 on a calculator?

You can find the GCD of 57, 694, 381, 344 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.