GCD of 678, 612, 792, 135 Calculator

Given Input numbers are 678, 612, 792, 135

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 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 792 :

The positive integer divisors of 792 that completely divides 792 are.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

GCD of numbers is the greatest common divisor

So, the GCD (678, 612, 792, 135) = 3.

Given numbers are 678, 612, 792, 135

The list of prime factors of all numbers are

Prime factors of 678 are 2 x 3 x 113

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

Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11

Prime factors of 135 are 3 x 3 x 3 x 5

The highest common occurrence is 3¹

Therefore, GCD of 678, 612, 792, 135 is 3.

Given numbers are 678, 612, 792, 135

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

Apply this formula for all numbers.

Step1:

LCM(678, 612) = 69156

GCD(678, 612) = ( 678 x 612 ) / 69156

= 678 / 612

= 678

Step2:

LCM(6, 792) = 792

GCD(6, 792) = ( 6 x 792 ) / 792

= 6 / 792

= 6

Step3:

LCM(6, 135) = 270

GCD(6, 135) = ( 6 x 135 ) / 270

= 6 / 135

= 6

So, Greatest Common Divisor of 678, 612, 792, 135 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 537, 942, 841, 542
• GCD of 408, 855, 426, 394
• GCD of 202, 402, 125, 794
• GCD of 648, 546, 828, 645
• GCD of 611, 830, 286, 267

Given numbers are 678, 612, 792, 135
The greatest common divisor of numbers 678, 612, 792, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 678, 612, 792, 135 is 3.

1. What is the GCD of 678, 612, 792, 135?

GCD of given numbers 678, 612, 792, 135 is 3

2. How to calculate the greatest common divisor of 678, 612, 792, 135?

We can find the highest common divisor of 678, 612, 792, 135 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, 612, 792, 135 i.e 3.

3. How can I use the GCD of 678, 612, 792, 135Calculator?

Out the numbers 678, 612, 792, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.