GCD of 303, 986, 72, 237 Calculator

Given Input numbers are 303, 986, 72, 237

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

Divisors of 303

List of positive integer divisors of 303 that divides 303 without a remainder.

1, 3, 101, 303

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 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 237

List of positive integer divisors of 237 that divides 237 without a remainder.

1, 3, 79, 237

Greatest Common Divisior

We found the divisors of 303, 986, 72, 237 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 303, 986, 72, 237 is 1.

Therefore, GCD of numbers 303, 986, 72, 237 is 1

Given Input Data is 303, 986, 72, 237

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

Prime Factorization of 303 is 3 x 101

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 237 is 3 x 79

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(303, 986) = 298758

GCD(303, 986) = ( 303 x 986 ) / 298758

GCD(303, 986) = 298758 / 298758

GCD(303, 986) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 72

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

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

GCD(1, 72) = 72 / 72

GCD(1, 72) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 237

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

LCM(1, 237) = 237

GCD(1, 237) = ( 1 x 237 ) / 237

GCD(1, 237) = 237 / 237

GCD(1, 237) = 1

GCD of 303, 986, 72, 237 is 1

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1. What is the GCD of 303, 986, 72, 237?

GCD of 303, 986, 72, 237 is 1

2. Where do I get the detailed procedure to find GCD of 303, 986, 72, 237?

You can find a detailed procedure to find GCD of 303, 986, 72, 237 on our page.

3. How to find GCD of 303, 986, 72, 237 on a calculator?

You can find the GCD of 303, 986, 72, 237 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.