GCD of 243, 300, 267, 381 Calculator

Given Input numbers are 243, 300, 267, 381

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

Divisors of 243 :

The positive integer divisors of 243 that completely divides 243 are.

1, 3, 9, 27, 81, 243

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 267 :

The positive integer divisors of 267 that completely divides 267 are.

1, 3, 89, 267

Divisors of 381 :

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

1, 3, 127, 381

GCD of numbers is the greatest common divisor

So, the GCD (243, 300, 267, 381) = 3.

Given numbers are 243, 300, 267, 381

The list of prime factors of all numbers are

Prime factors of 243 are 3 x 3 x 3 x 3 x 3

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

Prime factors of 267 are 3 x 89

Prime factors of 381 are 3 x 127

The highest common occurrence is 3¹

Therefore, GCD of 243, 300, 267, 381 is 3.

Given numbers are 243, 300, 267, 381

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

Apply this formula for all numbers.

Step1:

LCM(243, 300) = 24300

GCD(243, 300) = ( 243 x 300 ) / 24300

= 243 / 300

= 243

Step2:

LCM(3, 267) = 267

GCD(3, 267) = ( 3 x 267 ) / 267

= 3 / 267

= 3

Step3:

LCM(3, 381) = 381

GCD(3, 381) = ( 3 x 381 ) / 381

= 3 / 381

= 3

So, Greatest Common Divisor of 243, 300, 267, 381 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 453, 371, 487, 945
• GCD of 189, 679, 621, 393
• GCD of 533, 392, 690, 700
• GCD of 289, 773, 574, 326
• GCD of 886, 637, 225, 356

Given numbers are 243, 300, 267, 381
The greatest common divisor of numbers 243, 300, 267, 381 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 243, 300, 267, 381 is 3.

1. What is the GCD of 243, 300, 267, 381?

GCD of given numbers 243, 300, 267, 381 is 3

2. How to calculate the greatest common divisor of 243, 300, 267, 381?

We can find the highest common divisor of 243, 300, 267, 381 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 243, 300, 267, 381 i.e 3.

3. How can I use the GCD of 243, 300, 267, 381Calculator?

Out the numbers 243, 300, 267, 381 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.