GCD of 612, 334, 95, 309 Calculator

Given Input numbers are 612, 334, 95, 309

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

Divisors of 612

List of positive integer divisors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Divisors of 95

List of positive integer divisors of 95 that divides 95 without a remainder.

1, 5, 19, 95

Divisors of 309

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

1, 3, 103, 309

Greatest Common Divisior

We found the divisors of 612, 334, 95, 309 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 612, 334, 95, 309 is 1.

Therefore, GCD of numbers 612, 334, 95, 309 is 1

Given Input Data is 612, 334, 95, 309

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

Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17

Prime Factorization of 334 is 2 x 167

Prime Factorization of 95 is 5 x 19

Prime Factorization of 309 is 3 x 103

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(612, 334) = 102204

GCD(612, 334) = ( 612 x 334 ) / 102204

GCD(612, 334) = 204408 / 102204

GCD(612, 334) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 95

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

LCM(2, 95) = 190

GCD(2, 95) = ( 2 x 95 ) / 190

GCD(2, 95) = 190 / 190

GCD(2, 95) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 309

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

LCM(1, 309) = 309

GCD(1, 309) = ( 1 x 309 ) / 309

GCD(1, 309) = 309 / 309

GCD(1, 309) = 1

GCD of 612, 334, 95, 309 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 969, 506, 49, 525
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• GCD of 576, 460, 22, 675
• GCD of 178, 457, 65, 389
• GCD of 305, 276, 24, 971

1. What is the GCD of 612, 334, 95, 309?

GCD of 612, 334, 95, 309 is 1

2. Where do I get the detailed procedure to find GCD of 612, 334, 95, 309?

You can find a detailed procedure to find GCD of 612, 334, 95, 309 on our page.

3. How to find GCD of 612, 334, 95, 309 on a calculator?

You can find the GCD of 612, 334, 95, 309 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.