GCD of 230, 550, 180 Calculator

Given Input numbers are 230, 550, 180

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

Divisors of 230 :

The positive integer divisors of 230 that completely divides 230 are.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 550 :

The positive integer divisors of 550 that completely divides 550 are.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

GCD of numbers is the greatest common divisor

So, the GCD (230, 550, 180) = 10.

Given numbers are 230, 550, 180

The list of prime factors of all numbers are

Prime factors of 230 are 2 x 5 x 23

Prime factors of 550 are 2 x 5 x 5 x 11

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

The highest common occurrence is 2¹ x 5¹

Therefore, GCD of 230, 550, 180 is 10.

Given numbers are 230, 550, 180

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

Apply this formula for all numbers.

Step1:

LCM(230, 550) = 12650

GCD(230, 550) = ( 230 x 550 ) / 12650

= 230 / 550

= 230

Step2:

LCM(10, 180) = 180

GCD(10, 180) = ( 10 x 180 ) / 180

= 10 / 180

= 10

So, Greatest Common Divisor of 230, 550, 180 is 10

Here are some samples of GCD of Numbers calculations.

• GCD of 116, 114, 225
• GCD of 471, 393, 603
• GCD of 396, 812, 801
• GCD of 510, 781, 289
• GCD of 783, 109, 173

Given numbers are 230, 550, 180
The greatest common divisor of numbers 230, 550, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 230, 550, 180 is 10.

1. What is the GCD of 230, 550, 180?

GCD of given numbers 230, 550, 180 is 10

2. How to calculate the greatest common divisor of 230, 550, 180?

We can find the highest common divisor of 230, 550, 180 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 230, 550, 180 i.e 10.

3. How can I use the GCD of 230, 550, 180Calculator?

Out the numbers 230, 550, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.