GCD of 678, 708, 612 Calculator

Given Input numbers are 678, 708, 612

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

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

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

GCD of numbers is the greatest common divisor

So, the GCD (678, 708, 612) = 6.

Given numbers are 678, 708, 612

The list of prime factors of all numbers are

Prime factors of 678 are 2 x 3 x 113

Prime factors of 708 are 2 x 2 x 3 x 59

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

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 678, 708, 612 is 6.

Given numbers are 678, 708, 612

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

Apply this formula for all numbers.

Step1:

LCM(678, 708) = 80004

GCD(678, 708) = ( 678 x 708 ) / 80004

= 678 / 708

= 678

Step2:

LCM(6, 612) = 612

GCD(6, 612) = ( 6 x 612 ) / 612

= 6 / 612

= 6

So, Greatest Common Divisor of 678, 708, 612 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 131, 307, 546
• GCD of 541, 989, 161
• GCD of 412, 982, 440
• GCD of 682, 110, 426
• GCD of 968, 146, 268

Given numbers are 678, 708, 612
The greatest common divisor of numbers 678, 708, 612 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 678, 708, 612 is 6.

1. What is the GCD of 678, 708, 612?

GCD of given numbers 678, 708, 612 is 6

2. How to calculate the greatest common divisor of 678, 708, 612?

We can find the highest common divisor of 678, 708, 612 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 678, 708, 612 i.e 6.

3. How can I use the GCD of 678, 708, 612Calculator?

Out the numbers 678, 708, 612 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.