GCD of 302, 836, 946, 311 Calculator

Given Input numbers are 302, 836, 946, 311

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

Divisors of 302

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

1, 2, 151, 302

Divisors of 836

List of positive integer divisors of 836 that divides 836 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

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 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

Greatest Common Divisior

We found the divisors of 302, 836, 946, 311 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 302, 836, 946, 311 is 1.

Therefore, GCD of numbers 302, 836, 946, 311 is 1

Given Input Data is 302, 836, 946, 311

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

Prime Factorization of 302 is 2 x 151

Prime Factorization of 836 is 2 x 2 x 11 x 19

Prime Factorization of 946 is 2 x 11 x 43

Prime Factorization of 311 is 311

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(302, 836) = 126236

GCD(302, 836) = ( 302 x 836 ) / 126236

GCD(302, 836) = 252472 / 126236

GCD(302, 836) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 946

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

LCM(2, 946) = 946

GCD(2, 946) = ( 2 x 946 ) / 946

GCD(2, 946) = 1892 / 946

GCD(2, 946) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 311

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

LCM(2, 311) = 622

GCD(2, 311) = ( 2 x 311 ) / 622

GCD(2, 311) = 622 / 622

GCD(2, 311) = 1

GCD of 302, 836, 946, 311 is 1

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1. What is the GCD of 302, 836, 946, 311?

GCD of 302, 836, 946, 311 is 1

2. Where do I get the detailed procedure to find GCD of 302, 836, 946, 311?

You can find a detailed procedure to find GCD of 302, 836, 946, 311 on our page.

3. How to find GCD of 302, 836, 946, 311 on a calculator?

You can find the GCD of 302, 836, 946, 311 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.