GCD of 684, 178, 460, 564 Calculator

Given Input numbers are 684, 178, 460, 564

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

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 178 :

The positive integer divisors of 178 that completely divides 178 are.

1, 2, 89, 178

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

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 (684, 178, 460, 564) = 2.

Given numbers are 684, 178, 460, 564

The list of prime factors of all numbers are

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

Prime factors of 178 are 2 x 89

Prime factors of 460 are 2 x 2 x 5 x 23

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

The highest common occurrence is 2¹

Therefore, GCD of 684, 178, 460, 564 is 2.

Given numbers are 684, 178, 460, 564

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

Apply this formula for all numbers.

Step1:

LCM(684, 178) = 60876

GCD(684, 178) = ( 684 x 178 ) / 60876

= 684 / 178

= 684

Step2:

LCM(2, 460) = 460

GCD(2, 460) = ( 2 x 460 ) / 460

= 2 / 460

= 2

Step3:

LCM(2, 564) = 564

GCD(2, 564) = ( 2 x 564 ) / 564

= 2 / 564

= 2

So, Greatest Common Divisor of 684, 178, 460, 564 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 115, 854, 276, 827
• GCD of 157, 449, 502, 556
• GCD of 387, 849, 138, 821
• GCD of 879, 213, 345, 794
• GCD of 703, 692, 810, 539

Given numbers are 684, 178, 460, 564
The greatest common divisor of numbers 684, 178, 460, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 684, 178, 460, 564 is 2.

1. What is the GCD of 684, 178, 460, 564?

GCD of given numbers 684, 178, 460, 564 is 2

2. How to calculate the greatest common divisor of 684, 178, 460, 564?

We can find the highest common divisor of 684, 178, 460, 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 684, 178, 460, 564 i.e 2.

3. How can I use the GCD of 684, 178, 460, 564Calculator?

Out the numbers 684, 178, 460, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.