GCD of 564, 243, 381 Calculator

Given Input numbers are 564, 243, 381

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

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 243 :

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

1, 3, 9, 27, 81, 243

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 (564, 243, 381) = 3.

Given numbers are 564, 243, 381

The list of prime factors of all numbers are

Prime factors of 564 are 2 x 2 x 3 x 47

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

Prime factors of 381 are 3 x 127

The highest common occurrence is 3¹

Therefore, GCD of 564, 243, 381 is 3.

Given numbers are 564, 243, 381

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

Apply this formula for all numbers.

Step1:

LCM(564, 243) = 45684

GCD(564, 243) = ( 564 x 243 ) / 45684

= 564 / 243

= 564

Step2:

LCM(3, 381) = 381

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

= 3 / 381

= 3

So, Greatest Common Divisor of 564, 243, 381 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 950, 355, 667
• GCD of 545, 143, 124
• GCD of 610, 449, 922
• GCD of 105, 970, 610
• GCD of 694, 983, 890

Given numbers are 564, 243, 381
The greatest common divisor of numbers 564, 243, 381 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 243, 381 is 3.

1. What is the GCD of 564, 243, 381?

GCD of given numbers 564, 243, 381 is 3

2. How to calculate the greatest common divisor of 564, 243, 381?

We can find the highest common divisor of 564, 243, 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 564, 243, 381 i.e 3.

3. How can I use the GCD of 564, 243, 381Calculator?

Out the numbers 564, 243, 381 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.