GCD of 735, 339, 77, 312 Calculator

Given Input numbers are 735, 339, 77, 312

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

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 339

List of positive integer divisors of 339 that divides 339 without a remainder.

1, 3, 113, 339

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Greatest Common Divisior

We found the divisors of 735, 339, 77, 312 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 735, 339, 77, 312 is 1.

Therefore, GCD of numbers 735, 339, 77, 312 is 1

Given Input Data is 735, 339, 77, 312

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

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

Prime Factorization of 339 is 3 x 113

Prime Factorization of 77 is 7 x 11

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

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(735, 339) = 83055

GCD(735, 339) = ( 735 x 339 ) / 83055

GCD(735, 339) = 249165 / 83055

GCD(735, 339) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 77

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

LCM(3, 77) = 231

GCD(3, 77) = ( 3 x 77 ) / 231

GCD(3, 77) = 231 / 231

GCD(3, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 312

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

LCM(1, 312) = 312

GCD(1, 312) = ( 1 x 312 ) / 312

GCD(1, 312) = 312 / 312

GCD(1, 312) = 1

GCD of 735, 339, 77, 312 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 741, 446, 41, 691
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1. What is the GCD of 735, 339, 77, 312?

GCD of 735, 339, 77, 312 is 1

2. Where do I get the detailed procedure to find GCD of 735, 339, 77, 312?

You can find a detailed procedure to find GCD of 735, 339, 77, 312 on our page.

3. How to find GCD of 735, 339, 77, 312 on a calculator?

You can find the GCD of 735, 339, 77, 312 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.