GCD of 234, 423, 378, 954 Calculator

Given Input numbers are 234, 423, 378, 954

In the factoring method, we have to find the divisors of all numbers

Divisors of 234 :

The positive integer divisors of 234 that completely divides 234 are.

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

Divisors of 423 :

The positive integer divisors of 423 that completely divides 423 are.

1, 3, 9, 47, 141, 423

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

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

Divisors of 954 :

The positive integer divisors of 954 that completely divides 954 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (234, 423, 378, 954) = 9.

Given numbers are 234, 423, 378, 954

The list of prime factors of all numbers are

Prime factors of 234 are 2 x 3 x 3 x 13

Prime factors of 423 are 3 x 3 x 47

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 954 are 2 x 3 x 3 x 53

The highest common occurrence is 3²

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

Given numbers are 234, 423, 378, 954

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(234, 423) = 10998

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

= 234 / 423

= 234

Step2:

LCM(9, 378) = 378

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

= 9 / 378

= 9

Step3:

LCM(9, 954) = 954

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

= 9 / 954

= 9

So, Greatest Common Divisor of 234, 423, 378, 954 is 9

Here are some samples of GCD of Numbers calculations.

• GCD of 716, 218, 194, 725
• GCD of 169, 537, 556, 351
• GCD of 279, 686, 697, 628
• GCD of 721, 244, 383, 159
• GCD of 959, 568, 890, 121

Given numbers are 234, 423, 378, 954
The greatest common divisor of numbers 234, 423, 378, 954 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 234, 423, 378, 954 is 9.

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

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

2. How to calculate the greatest common divisor of 234, 423, 378, 954?

We can find the highest common divisor of 234, 423, 378, 954 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 234, 423, 378, 954 i.e 9.

3. How can I use the GCD of 234, 423, 378, 954Calculator?

Out the numbers 234, 423, 378, 954 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.