GCD of 234, 495, 306, 564 Calculator

Given Input numbers are 234, 495, 306, 564

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 495 :

The positive integer divisors of 495 that completely divides 495 are.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Divisors of 306 :

The positive integer divisors of 306 that completely divides 306 are.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

GCD of numbers is the greatest common divisor

So, the GCD (234, 495, 306, 564) = 3.

Given numbers are 234, 495, 306, 564

The list of prime factors of all numbers are

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

Prime factors of 495 are 3 x 3 x 5 x 11

Prime factors of 306 are 2 x 3 x 3 x 17

Prime factors of 564 are 2 x 2 x 3 x 47

The highest common occurrence is 3¹

Therefore, GCD of 234, 495, 306, 564 is 3.

Given numbers are 234, 495, 306, 564

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

Apply this formula for all numbers.

Step1:

LCM(234, 495) = 12870

GCD(234, 495) = ( 234 x 495 ) / 12870

= 234 / 495

= 234

Step2:

LCM(9, 306) = 306

GCD(9, 306) = ( 9 x 306 ) / 306

= 9 / 306

= 9

Step3:

LCM(9, 564) = 1692

GCD(9, 564) = ( 9 x 564 ) / 1692

= 9 / 564

= 9

So, Greatest Common Divisor of 234, 495, 306, 564 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 840, 510, 130, 426
• GCD of 787, 187, 860, 335
• GCD of 211, 866, 157, 602
• GCD of 618, 510, 875, 682
• GCD of 215, 830, 700, 421

Given numbers are 234, 495, 306, 564
The greatest common divisor of numbers 234, 495, 306, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 234, 495, 306, 564 is 3.

1. What is the GCD of 234, 495, 306, 564?

GCD of given numbers 234, 495, 306, 564 is 3

2. How to calculate the greatest common divisor of 234, 495, 306, 564?

We can find the highest common divisor of 234, 495, 306, 564 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, 495, 306, 564 i.e 3.

3. How can I use the GCD of 234, 495, 306, 564Calculator?

Out the numbers 234, 495, 306, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.