GCD of 674, 614, 27, 376 Calculator

Given Input numbers are 674, 614, 27, 376

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

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Divisors of 614

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

1, 2, 307, 614

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 376

List of positive integer divisors of 376 that divides 376 without a remainder.

1, 2, 4, 8, 47, 94, 188, 376

Greatest Common Divisior

We found the divisors of 674, 614, 27, 376 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 674, 614, 27, 376 is 1.

Therefore, GCD of numbers 674, 614, 27, 376 is 1

Given Input Data is 674, 614, 27, 376

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

Prime Factorization of 674 is 2 x 337

Prime Factorization of 614 is 2 x 307

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 376 is 2 x 2 x 2 x 47

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(674, 614) = 206918

GCD(674, 614) = ( 674 x 614 ) / 206918

GCD(674, 614) = 413836 / 206918

GCD(674, 614) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 27

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

LCM(2, 27) = 54

GCD(2, 27) = ( 2 x 27 ) / 54

GCD(2, 27) = 54 / 54

GCD(2, 27) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 376

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

LCM(1, 376) = 376

GCD(1, 376) = ( 1 x 376 ) / 376

GCD(1, 376) = 376 / 376

GCD(1, 376) = 1

GCD of 674, 614, 27, 376 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 564, 431, 98, 329
• GCD of 226, 863, 84, 258
• GCD of 163, 122, 94, 780
• GCD of 181, 726, 79, 397
• GCD of 777, 101, 31, 861

1. What is the GCD of 674, 614, 27, 376?

GCD of 674, 614, 27, 376 is 1

2. Where do I get the detailed procedure to find GCD of 674, 614, 27, 376?

You can find a detailed procedure to find GCD of 674, 614, 27, 376 on our page.

3. How to find GCD of 674, 614, 27, 376 on a calculator?

You can find the GCD of 674, 614, 27, 376 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.