GCD of 468, 558, 684, 378 Calculator

Given Input numbers are 468, 558, 684, 378

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

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 558 :

The positive integer divisors of 558 that completely divides 558 are.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

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

GCD of numbers is the greatest common divisor

So, the GCD (468, 558, 684, 378) = 18.

Given numbers are 468, 558, 684, 378

The list of prime factors of all numbers are

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

Prime factors of 558 are 2 x 3 x 3 x 31

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

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

The highest common occurrence is 2¹ x 3²

Therefore, GCD of 468, 558, 684, 378 is 18.

Given numbers are 468, 558, 684, 378

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

Apply this formula for all numbers.

Step1:

LCM(468, 558) = 14508

GCD(468, 558) = ( 468 x 558 ) / 14508

= 468 / 558

= 468

Step2:

LCM(18, 684) = 684

GCD(18, 684) = ( 18 x 684 ) / 684

= 18 / 684

= 18

Step3:

LCM(18, 378) = 378

GCD(18, 378) = ( 18 x 378 ) / 378

= 18 / 378

= 18

So, Greatest Common Divisor of 468, 558, 684, 378 is 18

Here are some samples of GCD of Numbers calculations.

• GCD of 643, 384, 638, 143
• GCD of 349, 328, 206, 648
• GCD of 721, 171, 612, 830
• GCD of 609, 567, 824, 495
• GCD of 992, 917, 889, 381

Given numbers are 468, 558, 684, 378
The greatest common divisor of numbers 468, 558, 684, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 468, 558, 684, 378 is 18.

1. What is the GCD of 468, 558, 684, 378?

GCD of given numbers 468, 558, 684, 378 is 18

2. How to calculate the greatest common divisor of 468, 558, 684, 378?

We can find the highest common divisor of 468, 558, 684, 378 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 468, 558, 684, 378 i.e 18.

3. How can I use the GCD of 468, 558, 684, 378Calculator?

Out the numbers 468, 558, 684, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.