GCD of 378, 612, 666 Calculator

Given Input numbers are 378, 612, 666

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

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 666 :

The positive integer divisors of 666 that completely divides 666 are.

1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

GCD of numbers is the greatest common divisor

So, the GCD (378, 612, 666) = 18.

Given numbers are 378, 612, 666

The list of prime factors of all numbers are

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

Prime factors of 666 are 2 x 3 x 3 x 37

The highest common occurrence is 2¹ x 3²

Therefore, GCD of 378, 612, 666 is 18.

Given numbers are 378, 612, 666

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

Apply this formula for all numbers.

Step1:

LCM(378, 612) = 12852

GCD(378, 612) = ( 378 x 612 ) / 12852

= 378 / 612

= 378

Step2:

LCM(18, 666) = 666

GCD(18, 666) = ( 18 x 666 ) / 666

= 18 / 666

= 18

So, Greatest Common Divisor of 378, 612, 666 is 18

Here are some samples of GCD of Numbers calculations.

• GCD of 266, 159, 920
• GCD of 247, 619, 613
• GCD of 782, 183, 278
• GCD of 629, 494, 892
• GCD of 688, 994, 806

Given numbers are 378, 612, 666
The greatest common divisor of numbers 378, 612, 666 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 612, 666 is 18.

1. What is the GCD of 378, 612, 666?

GCD of given numbers 378, 612, 666 is 18

2. How to calculate the greatest common divisor of 378, 612, 666?

We can find the highest common divisor of 378, 612, 666 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 378, 612, 666 i.e 18.

3. How can I use the GCD of 378, 612, 666Calculator?

Out the numbers 378, 612, 666 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.