GCD of 381, 300, 219, 331 Calculator

Given Input numbers are 381, 300, 219, 331

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 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 219 :

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

1, 3, 73, 219

Divisors of 331 :

The positive integer divisors of 331 that completely divides 331 are.

1, 331

GCD of numbers is the greatest common divisor

So, the GCD (381, 300, 219, 331) = 1.

Given numbers are 381, 300, 219, 331

The list of prime factors of all numbers are

Prime factors of 381 are 3 x 127

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 219 are 3 x 73

Prime factors of 331 are 331

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

Given numbers are 381, 300, 219, 331

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

Apply this formula for all numbers.

Step1:

LCM(381, 300) = 38100

GCD(381, 300) = ( 381 x 300 ) / 38100

= 381 / 300

= 381

Step2:

LCM(3, 219) = 219

GCD(3, 219) = ( 3 x 219 ) / 219

= 3 / 219

= 3

Step3:

LCM(3, 331) = 993

GCD(3, 331) = ( 3 x 331 ) / 993

= 3 / 331

= 3

So, Greatest Common Divisor of 381, 300, 219, 331 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 834, 799, 425, 905
• GCD of 492, 825, 186, 247
• GCD of 287, 639, 710, 678
• GCD of 669, 795, 377, 789
• GCD of 735, 798, 662, 291

Given numbers are 381, 300, 219, 331
The greatest common divisor of numbers 381, 300, 219, 331 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 381, 300, 219, 331 is 1.

1. What is the GCD of 381, 300, 219, 331?

GCD of given numbers 381, 300, 219, 331 is 1

2. How to calculate the greatest common divisor of 381, 300, 219, 331?

We can find the highest common divisor of 381, 300, 219, 331 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, 300, 219, 331 i.e 1.

3. How can I use the GCD of 381, 300, 219, 331Calculator?

Out the numbers 381, 300, 219, 331 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.