GCD of 270, 612, 126 Calculator

Given Input numbers are 270, 612, 126

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 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 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

GCD of numbers is the greatest common divisor

So, the GCD (270, 612, 126) = 18.

Given numbers are 270, 612, 126

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 612 are 2 x 2 x 3 x 3 x 17

Prime factors of 126 are 2 x 3 x 3 x 7

The highest common occurrence is 2¹ x 3²

Therefore, GCD of 270, 612, 126 is 18.

Given numbers are 270, 612, 126

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

Apply this formula for all numbers.

Step1:

LCM(270, 612) = 9180

GCD(270, 612) = ( 270 x 612 ) / 9180

= 270 / 612

= 270

Step2:

LCM(18, 126) = 126

GCD(18, 126) = ( 18 x 126 ) / 126

= 18 / 126

= 18

So, Greatest Common Divisor of 270, 612, 126 is 18

Here are some samples of GCD of Numbers calculations.

• GCD of 280, 614, 956
• GCD of 392, 166, 837
• GCD of 602, 181, 149
• GCD of 163, 573, 313
• GCD of 863, 299, 782

Given numbers are 270, 612, 126
The greatest common divisor of numbers 270, 612, 126 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 612, 126 is 18.

1. What is the GCD of 270, 612, 126?

GCD of given numbers 270, 612, 126 is 18

2. How to calculate the greatest common divisor of 270, 612, 126?

We can find the highest common divisor of 270, 612, 126 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, 612, 126 i.e 18.

3. How can I use the GCD of 270, 612, 126Calculator?

Out the numbers 270, 612, 126 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.