GCD of 684, 564, 933, 549 Calculator

Given Input numbers are 684, 564, 933, 549

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 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 933 :

The positive integer divisors of 933 that completely divides 933 are.

1, 3, 311, 933

Divisors of 549 :

The positive integer divisors of 549 that completely divides 549 are.

1, 3, 9, 61, 183, 549

GCD of numbers is the greatest common divisor

So, the GCD (684, 564, 933, 549) = 3.

Given numbers are 684, 564, 933, 549

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 564 are 2 x 2 x 3 x 47

Prime factors of 933 are 3 x 311

Prime factors of 549 are 3 x 3 x 61

The highest common occurrence is 3¹

Therefore, GCD of 684, 564, 933, 549 is 3.

Given numbers are 684, 564, 933, 549

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

Apply this formula for all numbers.

Step1:

LCM(684, 564) = 32148

GCD(684, 564) = ( 684 x 564 ) / 32148

= 684 / 564

= 684

Step2:

LCM(12, 933) = 3732

GCD(12, 933) = ( 12 x 933 ) / 3732

= 12 / 933

= 12

Step3:

LCM(3, 549) = 549

GCD(3, 549) = ( 3 x 549 ) / 549

= 3 / 549

= 3

So, Greatest Common Divisor of 684, 564, 933, 549 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 486, 765, 355, 495
• GCD of 255, 253, 233, 361
• GCD of 516, 795, 716, 739
• GCD of 661, 934, 993, 474
• GCD of 583, 272, 741, 815

Given numbers are 684, 564, 933, 549
The greatest common divisor of numbers 684, 564, 933, 549 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 684, 564, 933, 549 is 3.

1. What is the GCD of 684, 564, 933, 549?

GCD of given numbers 684, 564, 933, 549 is 3

2. How to calculate the greatest common divisor of 684, 564, 933, 549?

We can find the highest common divisor of 684, 564, 933, 549 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, 564, 933, 549 i.e 3.

3. How can I use the GCD of 684, 564, 933, 549Calculator?

Out the numbers 684, 564, 933, 549 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.