GCD of 369, 216, 819, 291 Calculator

Given Input numbers are 369, 216, 819, 291

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

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 819 :

The positive integer divisors of 819 that completely divides 819 are.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Divisors of 291 :

The positive integer divisors of 291 that completely divides 291 are.

1, 3, 97, 291

GCD of numbers is the greatest common divisor

So, the GCD (369, 216, 819, 291) = 3.

Given numbers are 369, 216, 819, 291

The list of prime factors of all numbers are

Prime factors of 369 are 3 x 3 x 41

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 819 are 3 x 3 x 7 x 13

Prime factors of 291 are 3 x 97

The highest common occurrence is 3¹

Therefore, GCD of 369, 216, 819, 291 is 3.

Given numbers are 369, 216, 819, 291

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

Apply this formula for all numbers.

Step1:

LCM(369, 216) = 8856

GCD(369, 216) = ( 369 x 216 ) / 8856

= 369 / 216

= 369

Step2:

LCM(9, 819) = 819

GCD(9, 819) = ( 9 x 819 ) / 819

= 9 / 819

= 9

Step3:

LCM(9, 291) = 873

GCD(9, 291) = ( 9 x 291 ) / 873

= 9 / 291

= 9

So, Greatest Common Divisor of 369, 216, 819, 291 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 844, 277, 934, 319
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• GCD of 651, 851, 726, 149

Given numbers are 369, 216, 819, 291
The greatest common divisor of numbers 369, 216, 819, 291 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 369, 216, 819, 291 is 3.

1. What is the GCD of 369, 216, 819, 291?

GCD of given numbers 369, 216, 819, 291 is 3

2. How to calculate the greatest common divisor of 369, 216, 819, 291?

We can find the highest common divisor of 369, 216, 819, 291 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 369, 216, 819, 291 i.e 3.

3. How can I use the GCD of 369, 216, 819, 291Calculator?

Out the numbers 369, 216, 819, 291 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.