GCD of 614, 849, 87, 323 Calculator

Given Input numbers are 614, 849, 87, 323

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 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 323

List of positive integer divisors of 323 that divides 323 without a remainder.

1, 17, 19, 323

Greatest Common Divisior

We found the divisors of 614, 849, 87, 323 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 614, 849, 87, 323 is 1.

Therefore, GCD of numbers 614, 849, 87, 323 is 1

Given Input Data is 614, 849, 87, 323

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

Prime Factorization of 614 is 2 x 307

Prime Factorization of 849 is 3 x 283

Prime Factorization of 87 is 3 x 29

Prime Factorization of 323 is 17 x 19

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, 849) = 521286

GCD(614, 849) = ( 614 x 849 ) / 521286

GCD(614, 849) = 521286 / 521286

GCD(614, 849) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 87

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

LCM(1, 87) = 87

GCD(1, 87) = ( 1 x 87 ) / 87

GCD(1, 87) = 87 / 87

GCD(1, 87) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 323

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

LCM(1, 323) = 323

GCD(1, 323) = ( 1 x 323 ) / 323

GCD(1, 323) = 323 / 323

GCD(1, 323) = 1

GCD of 614, 849, 87, 323 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 713, 816, 23, 775
• GCD of 221, 659, 12, 106
• GCD of 558, 209, 53, 578
• GCD of 241, 960, 37, 220
• GCD of 559, 409, 84, 251

1. What is the GCD of 614, 849, 87, 323?

GCD of 614, 849, 87, 323 is 1

2. Where do I get the detailed procedure to find GCD of 614, 849, 87, 323?

You can find a detailed procedure to find GCD of 614, 849, 87, 323 on our page.

3. How to find GCD of 614, 849, 87, 323 on a calculator?

You can find the GCD of 614, 849, 87, 323 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.