GCD of 627, 109, 42, 319 Calculator

Given Input numbers are 627, 109, 42, 319

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

Divisors of 627

List of positive integer divisors of 627 that divides 627 without a remainder.

1, 3, 11, 19, 33, 57, 209, 627

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

Greatest Common Divisior

We found the divisors of 627, 109, 42, 319 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 627, 109, 42, 319 is 1.

Therefore, GCD of numbers 627, 109, 42, 319 is 1

Given Input Data is 627, 109, 42, 319

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

Prime Factorization of 627 is 3 x 11 x 19

Prime Factorization of 109 is 109

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 319 is 11 x 29

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(627, 109) = 68343

GCD(627, 109) = ( 627 x 109 ) / 68343

GCD(627, 109) = 68343 / 68343

GCD(627, 109) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 319

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

LCM(1, 319) = 319

GCD(1, 319) = ( 1 x 319 ) / 319

GCD(1, 319) = 319 / 319

GCD(1, 319) = 1

GCD of 627, 109, 42, 319 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 666, 776, 49, 151
• GCD of 508, 654, 54, 223
• GCD of 924, 417, 14, 371
• GCD of 425, 593, 94, 991
• GCD of 775, 349, 13, 964

1. What is the GCD of 627, 109, 42, 319?

GCD of 627, 109, 42, 319 is 1

2. Where do I get the detailed procedure to find GCD of 627, 109, 42, 319?

You can find a detailed procedure to find GCD of 627, 109, 42, 319 on our page.

3. How to find GCD of 627, 109, 42, 319 on a calculator?

You can find the GCD of 627, 109, 42, 319 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.