GCD of 614, 284, 15, 376 Calculator

Given Input numbers are 614, 284, 15, 376

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 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

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 614, 284, 15, 376 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 614, 284, 15, 376 is 1.

Therefore, GCD of numbers 614, 284, 15, 376 is 1

Given Input Data is 614, 284, 15, 376

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

Prime Factorization of 614 is 2 x 307

Prime Factorization of 284 is 2 x 2 x 71

Prime Factorization of 15 is 3 x 5

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(614, 284) = 87188

GCD(614, 284) = ( 614 x 284 ) / 87188

GCD(614, 284) = 174376 / 87188

GCD(614, 284) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 15

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

LCM(2, 15) = 30

GCD(2, 15) = ( 2 x 15 ) / 30

GCD(2, 15) = 30 / 30

GCD(2, 15) = 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 614, 284, 15, 376 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 140, 359, 19, 469
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• GCD of 973, 691, 77, 621
• GCD of 847, 157, 88, 808
• GCD of 301, 896, 16, 295

1. What is the GCD of 614, 284, 15, 376?

GCD of 614, 284, 15, 376 is 1

2. Where do I get the detailed procedure to find GCD of 614, 284, 15, 376?

You can find a detailed procedure to find GCD of 614, 284, 15, 376 on our page.

3. How to find GCD of 614, 284, 15, 376 on a calculator?

You can find the GCD of 614, 284, 15, 376 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.