GCD of 369, 183, 264 Calculator

Given Input numbers are 369, 183, 264

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 183 :

The positive integer divisors of 183 that completely divides 183 are.

1, 3, 61, 183

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

GCD of numbers is the greatest common divisor

So, the GCD (369, 183, 264) = 3.

Given numbers are 369, 183, 264

The list of prime factors of all numbers are

Prime factors of 369 are 3 x 3 x 41

Prime factors of 183 are 3 x 61

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

The highest common occurrence is 3¹

Therefore, GCD of 369, 183, 264 is 3.

Given numbers are 369, 183, 264

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

Apply this formula for all numbers.

Step1:

LCM(369, 183) = 22509

GCD(369, 183) = ( 369 x 183 ) / 22509

= 369 / 183

= 369

Step2:

LCM(3, 264) = 264

GCD(3, 264) = ( 3 x 264 ) / 264

= 3 / 264

= 3

So, Greatest Common Divisor of 369, 183, 264 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 625, 409, 904
• GCD of 415, 201, 964
• GCD of 993, 547, 585
• GCD of 202, 110, 940
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Given numbers are 369, 183, 264
The greatest common divisor of numbers 369, 183, 264 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 369, 183, 264 is 3.

1. What is the GCD of 369, 183, 264?

GCD of given numbers 369, 183, 264 is 3

2. How to calculate the greatest common divisor of 369, 183, 264?

We can find the highest common divisor of 369, 183, 264 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, 183, 264 i.e 3.

3. How can I use the GCD of 369, 183, 264Calculator?

Out the numbers 369, 183, 264 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.