GCD of 310, 309, 302, 232 Calculator

Given Input numbers are 310, 309, 302, 232

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

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Divisors of 232

List of positive integer divisors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

Greatest Common Divisior

We found the divisors of 310, 309, 302, 232 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 310, 309, 302, 232 is 1.

Therefore, GCD of numbers 310, 309, 302, 232 is 1

Given Input Data is 310, 309, 302, 232

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

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 309 is 3 x 103

Prime Factorization of 302 is 2 x 151

Prime Factorization of 232 is 2 x 2 x 2 x 29

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(310, 309) = 95790

GCD(310, 309) = ( 310 x 309 ) / 95790

GCD(310, 309) = 95790 / 95790

GCD(310, 309) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 302

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

LCM(1, 302) = 302

GCD(1, 302) = ( 1 x 302 ) / 302

GCD(1, 302) = 302 / 302

GCD(1, 302) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 232

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

LCM(1, 232) = 232

GCD(1, 232) = ( 1 x 232 ) / 232

GCD(1, 232) = 232 / 232

GCD(1, 232) = 1

GCD of 310, 309, 302, 232 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 947, 805, 662, 258
• GCD of 659, 673, 963, 178
• GCD of 146, 444, 379, 116
• GCD of 418, 327, 153, 639
• GCD of 937, 299, 277, 982

1. What is the GCD of 310, 309, 302, 232?

GCD of 310, 309, 302, 232 is 1

2. Where do I get the detailed procedure to find GCD of 310, 309, 302, 232?

You can find a detailed procedure to find GCD of 310, 309, 302, 232 on our page.

3. How to find GCD of 310, 309, 302, 232 on a calculator?

You can find the GCD of 310, 309, 302, 232 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.