GCD of 558, 297, 270 Calculator

Given Input numbers are 558, 297, 270

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

Divisors of 558 :

The positive integer divisors of 558 that completely divides 558 are.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 297 :

The positive integer divisors of 297 that completely divides 297 are.

1, 3, 9, 11, 27, 33, 99, 297

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

GCD of numbers is the greatest common divisor

So, the GCD (558, 297, 270) = 9.

Given numbers are 558, 297, 270

The list of prime factors of all numbers are

Prime factors of 558 are 2 x 3 x 3 x 31

Prime factors of 297 are 3 x 3 x 3 x 11

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

The highest common occurrence is 3²

Therefore, GCD of 558, 297, 270 is 9.

Given numbers are 558, 297, 270

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

Apply this formula for all numbers.

Step1:

LCM(558, 297) = 18414

GCD(558, 297) = ( 558 x 297 ) / 18414

= 558 / 297

= 558

Step2:

LCM(9, 270) = 270

GCD(9, 270) = ( 9 x 270 ) / 270

= 9 / 270

= 9

So, Greatest Common Divisor of 558, 297, 270 is 9

Here are some samples of GCD of Numbers calculations.

• GCD of 258, 592, 397
• GCD of 536, 805, 826
• GCD of 119, 424, 485
• GCD of 956, 474, 209
• GCD of 412, 874, 783

Given numbers are 558, 297, 270
The greatest common divisor of numbers 558, 297, 270 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 558, 297, 270 is 9.

1. What is the GCD of 558, 297, 270?

GCD of given numbers 558, 297, 270 is 9

2. How to calculate the greatest common divisor of 558, 297, 270?

We can find the highest common divisor of 558, 297, 270 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 558, 297, 270 i.e 9.

3. How can I use the GCD of 558, 297, 270Calculator?

Out the numbers 558, 297, 270 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.