GCD of 567, 816, 387 Calculator

Given Input numbers are 567, 816, 387

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

Divisors of 567 :

The positive integer divisors of 567 that completely divides 567 are.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Divisors of 816 :

The positive integer divisors of 816 that completely divides 816 are.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 387 :

The positive integer divisors of 387 that completely divides 387 are.

1, 3, 9, 43, 129, 387

GCD of numbers is the greatest common divisor

So, the GCD (567, 816, 387) = 3.

Given numbers are 567, 816, 387

The list of prime factors of all numbers are

Prime factors of 567 are 3 x 3 x 3 x 3 x 7

Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17

Prime factors of 387 are 3 x 3 x 43

The highest common occurrence is 3¹

Therefore, GCD of 567, 816, 387 is 3.

Given numbers are 567, 816, 387

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

Apply this formula for all numbers.

Step1:

LCM(567, 816) = 154224

GCD(567, 816) = ( 567 x 816 ) / 154224

= 567 / 816

= 567

Step2:

LCM(3, 387) = 387

GCD(3, 387) = ( 3 x 387 ) / 387

= 3 / 387

= 3

So, Greatest Common Divisor of 567, 816, 387 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 306, 251, 130
• GCD of 255, 961, 663
• GCD of 204, 159, 464
• GCD of 949, 405, 883
• GCD of 167, 412, 646

Given numbers are 567, 816, 387
The greatest common divisor of numbers 567, 816, 387 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 567, 816, 387 is 3.

1. What is the GCD of 567, 816, 387?

GCD of given numbers 567, 816, 387 is 3

2. How to calculate the greatest common divisor of 567, 816, 387?

We can find the highest common divisor of 567, 816, 387 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 567, 816, 387 i.e 3.

3. How can I use the GCD of 567, 816, 387Calculator?

Out the numbers 567, 816, 387 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.