GCD of 234, 468, 324, 706 Calculator

Given Input numbers are 234, 468, 324, 706

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 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 324 :

The positive integer divisors of 324 that completely divides 324 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 706 :

The positive integer divisors of 706 that completely divides 706 are.

1, 2, 353, 706

GCD of numbers is the greatest common divisor

So, the GCD (234, 468, 324, 706) = 2.

Given numbers are 234, 468, 324, 706

The list of prime factors of all numbers are

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

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 706 are 2 x 353

The highest common occurrence is 2¹

Therefore, GCD of 234, 468, 324, 706 is 2.

Given numbers are 234, 468, 324, 706

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

Apply this formula for all numbers.

Step1:

LCM(234, 468) = 468

GCD(234, 468) = ( 234 x 468 ) / 468

= 234 / 468

= 234

Step2:

LCM(234, 324) = 4212

GCD(234, 324) = ( 234 x 324 ) / 4212

= 234 / 324

= 234

Step3:

LCM(18, 706) = 6354

GCD(18, 706) = ( 18 x 706 ) / 6354

= 18 / 706

= 18

So, Greatest Common Divisor of 234, 468, 324, 706 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 692, 600, 809, 251
• GCD of 949, 948, 663, 281
• GCD of 599, 364, 517, 594
• GCD of 289, 689, 401, 893
• GCD of 729, 565, 226, 984

Given numbers are 234, 468, 324, 706
The greatest common divisor of numbers 234, 468, 324, 706 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 234, 468, 324, 706 is 2.

1. What is the GCD of 234, 468, 324, 706?

GCD of given numbers 234, 468, 324, 706 is 2

2. How to calculate the greatest common divisor of 234, 468, 324, 706?

We can find the highest common divisor of 234, 468, 324, 706 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, 468, 324, 706 i.e 2.

3. How can I use the GCD of 234, 468, 324, 706Calculator?

Out the numbers 234, 468, 324, 706 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.