GCD of 684, 228, 408, 537 Calculator

Given Input numbers are 684, 228, 408, 537

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 228 :

The positive integer divisors of 228 that completely divides 228 are.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 537 :

The positive integer divisors of 537 that completely divides 537 are.

1, 3, 179, 537

GCD of numbers is the greatest common divisor

So, the GCD (684, 228, 408, 537) = 3.

Given numbers are 684, 228, 408, 537

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 228 are 2 x 2 x 3 x 19

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

Prime factors of 537 are 3 x 179

The highest common occurrence is 3¹

Therefore, GCD of 684, 228, 408, 537 is 3.

Given numbers are 684, 228, 408, 537

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

Apply this formula for all numbers.

Step1:

LCM(684, 228) = 684

GCD(684, 228) = ( 684 x 228 ) / 684

= 684 / 228

= 684

Step2:

LCM(228, 408) = 7752

GCD(228, 408) = ( 228 x 408 ) / 7752

= 228 / 408

= 228

Step3:

LCM(12, 537) = 2148

GCD(12, 537) = ( 12 x 537 ) / 2148

= 12 / 537

= 12

So, Greatest Common Divisor of 684, 228, 408, 537 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 486, 889, 210, 988
• GCD of 355, 230, 209, 488
• GCD of 262, 439, 180, 150
• GCD of 490, 482, 471, 657
• GCD of 957, 682, 186, 961

Given numbers are 684, 228, 408, 537
The greatest common divisor of numbers 684, 228, 408, 537 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 684, 228, 408, 537 is 3.

1. What is the GCD of 684, 228, 408, 537?

GCD of given numbers 684, 228, 408, 537 is 3

2. How to calculate the greatest common divisor of 684, 228, 408, 537?

We can find the highest common divisor of 684, 228, 408, 537 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, 228, 408, 537 i.e 3.

3. How can I use the GCD of 684, 228, 408, 537Calculator?

Out the numbers 684, 228, 408, 537 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.