GCD of 614, 627, 582, 371 Calculator

Given Input numbers are 614, 627, 582, 371

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

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

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 582

List of positive integer divisors of 582 that divides 582 without a remainder.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 371

List of positive integer divisors of 371 that divides 371 without a remainder.

1, 7, 53, 371

Greatest Common Divisior

We found the divisors of 614, 627, 582, 371 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 614, 627, 582, 371 is 1.

Therefore, GCD of numbers 614, 627, 582, 371 is 1

Given Input Data is 614, 627, 582, 371

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

Prime Factorization of 614 is 2 x 307

Prime Factorization of 627 is 3 x 11 x 19

Prime Factorization of 582 is 2 x 3 x 97

Prime Factorization of 371 is 7 x 53

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(614, 627) = 384978

GCD(614, 627) = ( 614 x 627 ) / 384978

GCD(614, 627) = 384978 / 384978

GCD(614, 627) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 582

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

LCM(1, 582) = 582

GCD(1, 582) = ( 1 x 582 ) / 582

GCD(1, 582) = 582 / 582

GCD(1, 582) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 371

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

LCM(1, 371) = 371

GCD(1, 371) = ( 1 x 371 ) / 371

GCD(1, 371) = 371 / 371

GCD(1, 371) = 1

GCD of 614, 627, 582, 371 is 1

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1. What is the GCD of 614, 627, 582, 371?

GCD of 614, 627, 582, 371 is 1

2. Where do I get the detailed procedure to find GCD of 614, 627, 582, 371?

You can find a detailed procedure to find GCD of 614, 627, 582, 371 on our page.

3. How to find GCD of 614, 627, 582, 371 on a calculator?

You can find the GCD of 614, 627, 582, 371 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.