GCD of 381, 509, 228 Calculator

Given Input numbers are 381, 509, 228

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

Divisors of 381 :

The positive integer divisors of 381 that completely divides 381 are.

1, 3, 127, 381

Divisors of 509 :

The positive integer divisors of 509 that completely divides 509 are.

1, 509

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

GCD of numbers is the greatest common divisor

So, the GCD (381, 509, 228) = 1.

Given numbers are 381, 509, 228

The list of prime factors of all numbers are

Prime factors of 381 are 3 x 127

Prime factors of 509 are 509

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

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

Given numbers are 381, 509, 228

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

Apply this formula for all numbers.

Step1:

LCM(381, 509) = 193929

GCD(381, 509) = ( 381 x 509 ) / 193929

= 381 / 509

= 381

Step2:

LCM(1, 228) = 228

GCD(1, 228) = ( 1 x 228 ) / 228

= 1 / 228

= 1

So, Greatest Common Divisor of 381, 509, 228 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 976, 253, 638
• GCD of 175, 605, 386
• GCD of 738, 336, 867
• GCD of 171, 835, 538
• GCD of 194, 836, 803

Given numbers are 381, 509, 228
The greatest common divisor of numbers 381, 509, 228 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 381, 509, 228 is 1.

1. What is the GCD of 381, 509, 228?

GCD of given numbers 381, 509, 228 is 1

2. How to calculate the greatest common divisor of 381, 509, 228?

We can find the highest common divisor of 381, 509, 228 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 381, 509, 228 i.e 1.

3. How can I use the GCD of 381, 509, 228Calculator?

Out the numbers 381, 509, 228 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.