GCD of 858, 684, 144, 324 Calculator

Given Input numbers are 858, 684, 144, 324

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

Divisors of 858 :

The positive integer divisors of 858 that completely divides 858 are.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

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 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

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

GCD of numbers is the greatest common divisor

So, the GCD (858, 684, 144, 324) = 6.

Given numbers are 858, 684, 144, 324

The list of prime factors of all numbers are

Prime factors of 858 are 2 x 3 x 11 x 13

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

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

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

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 858, 684, 144, 324 is 6.

Given numbers are 858, 684, 144, 324

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

Apply this formula for all numbers.

Step1:

LCM(858, 684) = 97812

GCD(858, 684) = ( 858 x 684 ) / 97812

= 858 / 684

= 858

Step2:

LCM(6, 144) = 144

GCD(6, 144) = ( 6 x 144 ) / 144

= 6 / 144

= 6

Step3:

LCM(6, 324) = 324

GCD(6, 324) = ( 6 x 324 ) / 324

= 6 / 324

= 6

So, Greatest Common Divisor of 858, 684, 144, 324 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 765, 894, 460, 629
• GCD of 718, 494, 462, 186
• GCD of 552, 530, 745, 298
• GCD of 128, 832, 976, 247
• GCD of 355, 106, 292, 220

Given numbers are 858, 684, 144, 324
The greatest common divisor of numbers 858, 684, 144, 324 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 858, 684, 144, 324 is 6.

1. What is the GCD of 858, 684, 144, 324?

GCD of given numbers 858, 684, 144, 324 is 6

2. How to calculate the greatest common divisor of 858, 684, 144, 324?

We can find the highest common divisor of 858, 684, 144, 324 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 858, 684, 144, 324 i.e 6.

3. How can I use the GCD of 858, 684, 144, 324Calculator?

Out the numbers 858, 684, 144, 324 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.