GCD of 234, 423, 378, 954 Calculator

Given Input numbers are 234, 423, 378, 954

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

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 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Greatest Common Divisior

We found the divisors of 234, 423, 378, 954 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 234, 423, 378, 954 is 9.

Therefore, GCD of numbers 234, 423, 378, 954 is 9

Given Input Data is 234, 423, 378, 954

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

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

Prime Factorization of 423 is 3 x 3 x 47

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 954 is 2 x 3 x 3 x 53

Highest common occurrences in the given inputs are 3²

Multiplying them we get the GCD as 9

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(234, 423) = 10998

GCD(234, 423) = ( 234 x 423 ) / 10998

GCD(234, 423) = 98982 / 10998

GCD(234, 423) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 378

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

LCM(9, 378) = 378

GCD(9, 378) = ( 9 x 378 ) / 378

GCD(9, 378) = 3402 / 378

GCD(9, 378) = 9

Step3:

Here we consider the GCD from the above i.e. 9 as first number and the next as 954

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

LCM(9, 954) = 954

GCD(9, 954) = ( 9 x 954 ) / 954

GCD(9, 954) = 8586 / 954

GCD(9, 954) = 9

GCD of 234, 423, 378, 954 is 9

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1. What is the GCD of 234, 423, 378, 954?

GCD of 234, 423, 378, 954 is 9

2. Where do I get the detailed procedure to find GCD of 234, 423, 378, 954?

You can find a detailed procedure to find GCD of 234, 423, 378, 954 on our page.

3. How to find GCD of 234, 423, 378, 954 on a calculator?

You can find the GCD of 234, 423, 378, 954 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.