GCD of 138, 684, 663 Calculator

Given Input numbers are 138, 684, 663

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

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

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 663 :

The positive integer divisors of 663 that completely divides 663 are.

1, 3, 13, 17, 39, 51, 221, 663

GCD of numbers is the greatest common divisor

So, the GCD (138, 684, 663) = 3.

Given numbers are 138, 684, 663

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

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

Prime factors of 663 are 3 x 13 x 17

The highest common occurrence is 3¹

Therefore, GCD of 138, 684, 663 is 3.

Given numbers are 138, 684, 663

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

Apply this formula for all numbers.

Step1:

LCM(138, 684) = 15732

GCD(138, 684) = ( 138 x 684 ) / 15732

= 138 / 684

= 138

Step2:

LCM(6, 663) = 1326

GCD(6, 663) = ( 6 x 663 ) / 1326

= 6 / 663

= 6

So, Greatest Common Divisor of 138, 684, 663 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 406, 604, 318
• GCD of 749, 465, 148
• GCD of 727, 724, 246
• GCD of 591, 250, 590
• GCD of 744, 203, 543

Given numbers are 138, 684, 663
The greatest common divisor of numbers 138, 684, 663 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 684, 663 is 3.

1. What is the GCD of 138, 684, 663?

GCD of given numbers 138, 684, 663 is 3

2. How to calculate the greatest common divisor of 138, 684, 663?

We can find the highest common divisor of 138, 684, 663 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 138, 684, 663 i.e 3.

3. How can I use the GCD of 138, 684, 663Calculator?

Out the numbers 138, 684, 663 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.