GCD of 432, 678, 564, 279 Calculator

Given Input numbers are 432, 678, 564, 279

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

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

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

Divisors of 279 :

The positive integer divisors of 279 that completely divides 279 are.

1, 3, 9, 31, 93, 279

GCD of numbers is the greatest common divisor

So, the GCD (432, 678, 564, 279) = 3.

Given numbers are 432, 678, 564, 279

The list of prime factors of all numbers are

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 678 are 2 x 3 x 113

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

Prime factors of 279 are 3 x 3 x 31

The highest common occurrence is 3¹

Therefore, GCD of 432, 678, 564, 279 is 3.

Given numbers are 432, 678, 564, 279

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

Apply this formula for all numbers.

Step1:

LCM(432, 678) = 48816

GCD(432, 678) = ( 432 x 678 ) / 48816

= 432 / 678

= 432

Step2:

LCM(6, 564) = 564

GCD(6, 564) = ( 6 x 564 ) / 564

= 6 / 564

= 6

Step3:

LCM(6, 279) = 558

GCD(6, 279) = ( 6 x 279 ) / 558

= 6 / 279

= 6

So, Greatest Common Divisor of 432, 678, 564, 279 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 534, 729, 978, 906
• GCD of 151, 801, 774, 431
• GCD of 187, 288, 173, 794
• GCD of 751, 312, 506, 444
• GCD of 250, 113, 690, 155

Given numbers are 432, 678, 564, 279
The greatest common divisor of numbers 432, 678, 564, 279 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 678, 564, 279 is 3.

1. What is the GCD of 432, 678, 564, 279?

GCD of given numbers 432, 678, 564, 279 is 3

2. How to calculate the greatest common divisor of 432, 678, 564, 279?

We can find the highest common divisor of 432, 678, 564, 279 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 432, 678, 564, 279 i.e 3.

3. How can I use the GCD of 432, 678, 564, 279Calculator?

Out the numbers 432, 678, 564, 279 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.