GCD of 270, 135, 678 Calculator

Given Input numbers are 270, 135, 678

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

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 135 :

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

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

Divisors of 678 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (270, 135, 678) = 3.

Given numbers are 270, 135, 678

The list of prime factors of all numbers are

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

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

Prime factors of 678 are 2 x 3 x 113

The highest common occurrence is 3¹

Therefore, GCD of 270, 135, 678 is 3.

Given numbers are 270, 135, 678

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

Apply this formula for all numbers.

Step1:

LCM(270, 135) = 270

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

= 270 / 135

= 270

Step2:

LCM(135, 678) = 30510

GCD(135, 678) = ( 135 x 678 ) / 30510

= 135 / 678

= 135

So, Greatest Common Divisor of 270, 135, 678 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 657, 354, 219
• GCD of 668, 902, 255
• GCD of 560, 664, 593
• GCD of 969, 595, 264
• GCD of 263, 111, 320

Given numbers are 270, 135, 678
The greatest common divisor of numbers 270, 135, 678 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 135, 678 is 3.

1. What is the GCD of 270, 135, 678?

GCD of given numbers 270, 135, 678 is 3

2. How to calculate the greatest common divisor of 270, 135, 678?

We can find the highest common divisor of 270, 135, 678 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 270, 135, 678 i.e 3.

3. How can I use the GCD of 270, 135, 678Calculator?

Out the numbers 270, 135, 678 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.