GCD of 214, 120, 228, 227 Calculator

Given Input numbers are 214, 120, 228, 227

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

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 228 :

The positive integer divisors of 228 that completely divides 228 are.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 227 :

The positive integer divisors of 227 that completely divides 227 are.

1, 227

GCD of numbers is the greatest common divisor

So, the GCD (214, 120, 228, 227) = 1.

Given numbers are 214, 120, 228, 227

The list of prime factors of all numbers are

Prime factors of 214 are 2 x 107

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 228 are 2 x 2 x 3 x 19

Prime factors of 227 are 227

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 214, 120, 228, 227

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

Apply this formula for all numbers.

Step1:

LCM(214, 120) = 12840

GCD(214, 120) = ( 214 x 120 ) / 12840

= 214 / 120

= 214

Step2:

LCM(2, 228) = 228

GCD(2, 228) = ( 2 x 228 ) / 228

= 2 / 228

= 2

Step3:

LCM(2, 227) = 454

GCD(2, 227) = ( 2 x 227 ) / 454

= 2 / 227

= 2

So, Greatest Common Divisor of 214, 120, 228, 227 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 326, 764, 471, 843
• GCD of 301, 161, 924, 395
• GCD of 441, 664, 556, 706
• GCD of 211, 312, 822, 442
• GCD of 943, 102, 605, 738

Given numbers are 214, 120, 228, 227
The greatest common divisor of numbers 214, 120, 228, 227 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 214, 120, 228, 227 is 1.

1. What is the GCD of 214, 120, 228, 227?

GCD of given numbers 214, 120, 228, 227 is 1

2. How to calculate the greatest common divisor of 214, 120, 228, 227?

We can find the highest common divisor of 214, 120, 228, 227 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 214, 120, 228, 227 i.e 1.

3. How can I use the GCD of 214, 120, 228, 227Calculator?

Out the numbers 214, 120, 228, 227 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.