GCD of 75, 986, 327, 613 Calculator

Given Input numbers are 75, 986, 327, 613

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

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 327

List of positive integer divisors of 327 that divides 327 without a remainder.

1, 3, 109, 327

Divisors of 613

List of positive integer divisors of 613 that divides 613 without a remainder.

1, 613

Greatest Common Divisior

We found the divisors of 75, 986, 327, 613 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 75, 986, 327, 613 is 1.

Therefore, GCD of numbers 75, 986, 327, 613 is 1

Given Input Data is 75, 986, 327, 613

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

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 327 is 3 x 109

Prime Factorization of 613 is 613

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(75, 986) = 73950

GCD(75, 986) = ( 75 x 986 ) / 73950

GCD(75, 986) = 73950 / 73950

GCD(75, 986) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 327

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

LCM(1, 327) = 327

GCD(1, 327) = ( 1 x 327 ) / 327

GCD(1, 327) = 327 / 327

GCD(1, 327) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 613

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

LCM(1, 613) = 613

GCD(1, 613) = ( 1 x 613 ) / 613

GCD(1, 613) = 613 / 613

GCD(1, 613) = 1

GCD of 75, 986, 327, 613 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 91, 450, 918, 562
• GCD of 36, 988, 918, 974
• GCD of 23, 716, 646, 407
• GCD of 35, 884, 876, 201
• GCD of 27, 294, 554, 543

1. What is the GCD of 75, 986, 327, 613?

GCD of 75, 986, 327, 613 is 1

2. Where do I get the detailed procedure to find GCD of 75, 986, 327, 613?

You can find a detailed procedure to find GCD of 75, 986, 327, 613 on our page.

3. How to find GCD of 75, 986, 327, 613 on a calculator?

You can find the GCD of 75, 986, 327, 613 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.