GCD of 306, 735, 306, 116 Calculator

Given Input numbers are 306, 735, 306, 116

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

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Greatest Common Divisior

We found the divisors of 306, 735, 306, 116 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 306, 735, 306, 116 is 1.

Therefore, GCD of numbers 306, 735, 306, 116 is 1

Given Input Data is 306, 735, 306, 116

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

Prime Factorization of 306 is 2 x 3 x 3 x 17

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 306 is 2 x 3 x 3 x 17

Prime Factorization of 116 is 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(306, 735) = 74970

GCD(306, 735) = ( 306 x 735 ) / 74970

GCD(306, 735) = 224910 / 74970

GCD(306, 735) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 306

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

LCM(3, 306) = 306

GCD(3, 306) = ( 3 x 306 ) / 306

GCD(3, 306) = 918 / 306

GCD(3, 306) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 116

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

LCM(3, 116) = 348

GCD(3, 116) = ( 3 x 116 ) / 348

GCD(3, 116) = 348 / 348

GCD(3, 116) = 1

GCD of 306, 735, 306, 116 is 1

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1. What is the GCD of 306, 735, 306, 116?

GCD of 306, 735, 306, 116 is 1

2. Where do I get the detailed procedure to find GCD of 306, 735, 306, 116?

You can find a detailed procedure to find GCD of 306, 735, 306, 116 on our page.

3. How to find GCD of 306, 735, 306, 116 on a calculator?

You can find the GCD of 306, 735, 306, 116 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.