GCD of 408, 234, 735, 963 Calculator

Given Input numbers are 408, 234, 735, 963

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

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

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 963

List of positive integer divisors of 963 that divides 963 without a remainder.

1, 3, 9, 107, 321, 963

Greatest Common Divisior

We found the divisors of 408, 234, 735, 963 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 408, 234, 735, 963 is 3.

Therefore, GCD of numbers 408, 234, 735, 963 is 3

Given Input Data is 408, 234, 735, 963

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

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 234 is 2 x 3 x 3 x 13

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

Prime Factorization of 963 is 3 x 3 x 107

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(408, 234) = 15912

GCD(408, 234) = ( 408 x 234 ) / 15912

GCD(408, 234) = 95472 / 15912

GCD(408, 234) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 735

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

LCM(6, 735) = 1470

GCD(6, 735) = ( 6 x 735 ) / 1470

GCD(6, 735) = 4410 / 1470

GCD(6, 735) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 963

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

LCM(3, 963) = 963

GCD(3, 963) = ( 3 x 963 ) / 963

GCD(3, 963) = 2889 / 963

GCD(3, 963) = 3

GCD of 408, 234, 735, 963 is 3

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1. What is the GCD of 408, 234, 735, 963?

GCD of 408, 234, 735, 963 is 3

2. Where do I get the detailed procedure to find GCD of 408, 234, 735, 963?

You can find a detailed procedure to find GCD of 408, 234, 735, 963 on our page.

3. How to find GCD of 408, 234, 735, 963 on a calculator?

You can find the GCD of 408, 234, 735, 963 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.