GCD of 270, 219, 237, 204 Calculator

Given Input numbers are 270, 219, 237, 204

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 219 :

The positive integer divisors of 219 that completely divides 219 are.

1, 3, 73, 219

Divisors of 237 :

The positive integer divisors of 237 that completely divides 237 are.

1, 3, 79, 237

Divisors of 204 :

The positive integer divisors of 204 that completely divides 204 are.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

GCD of numbers is the greatest common divisor

So, the GCD (270, 219, 237, 204) = 3.

Given numbers are 270, 219, 237, 204

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 219 are 3 x 73

Prime factors of 237 are 3 x 79

Prime factors of 204 are 2 x 2 x 3 x 17

The highest common occurrence is 3¹

Therefore, GCD of 270, 219, 237, 204 is 3.

Given numbers are 270, 219, 237, 204

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

Apply this formula for all numbers.

Step1:

LCM(270, 219) = 19710

GCD(270, 219) = ( 270 x 219 ) / 19710

= 270 / 219

= 270

Step2:

LCM(3, 237) = 237

GCD(3, 237) = ( 3 x 237 ) / 237

= 3 / 237

= 3

Step3:

LCM(3, 204) = 204

GCD(3, 204) = ( 3 x 204 ) / 204

= 3 / 204

= 3

So, Greatest Common Divisor of 270, 219, 237, 204 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 254, 275, 857, 754
• GCD of 372, 254, 560, 503
• GCD of 855, 427, 584, 824
• GCD of 346, 196, 681, 426
• GCD of 193, 816, 382, 192

Given numbers are 270, 219, 237, 204
The greatest common divisor of numbers 270, 219, 237, 204 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 219, 237, 204 is 3.

1. What is the GCD of 270, 219, 237, 204?

GCD of given numbers 270, 219, 237, 204 is 3

2. How to calculate the greatest common divisor of 270, 219, 237, 204?

We can find the highest common divisor of 270, 219, 237, 204 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, 219, 237, 204 i.e 3.

3. How can I use the GCD of 270, 219, 237, 204Calculator?

Out the numbers 270, 219, 237, 204 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.