GCD of 365, 946, 14, 309 Calculator

Given Input numbers are 365, 946, 14, 309

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

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

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 365, 946, 14, 309 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 365, 946, 14, 309 is 1.

Therefore, GCD of numbers 365, 946, 14, 309 is 1

Given Input Data is 365, 946, 14, 309

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

Prime Factorization of 365 is 5 x 73

Prime Factorization of 946 is 2 x 11 x 43

Prime Factorization of 14 is 2 x 7

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(365, 946) = 345290

GCD(365, 946) = ( 365 x 946 ) / 345290

GCD(365, 946) = 345290 / 345290

GCD(365, 946) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 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 365, 946, 14, 309 is 1

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• GCD of 630, 481, 58, 444
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1. What is the GCD of 365, 946, 14, 309?

GCD of 365, 946, 14, 309 is 1

2. Where do I get the detailed procedure to find GCD of 365, 946, 14, 309?

You can find a detailed procedure to find GCD of 365, 946, 14, 309 on our page.

3. How to find GCD of 365, 946, 14, 309 on a calculator?

You can find the GCD of 365, 946, 14, 309 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.