GCD of 266, 304, 323 Calculator

Given Input numbers are 266, 304, 323

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

Divisors of 266 :

The positive integer divisors of 266 that completely divides 266 are.

1, 2, 7, 14, 19, 38, 133, 266

Divisors of 304 :

The positive integer divisors of 304 that completely divides 304 are.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 323 :

The positive integer divisors of 323 that completely divides 323 are.

1, 17, 19, 323

GCD of numbers is the greatest common divisor

So, the GCD (266, 304, 323) = 19.

Given numbers are 266, 304, 323

The list of prime factors of all numbers are

Prime factors of 266 are 2 x 7 x 19

Prime factors of 304 are 2 x 2 x 2 x 2 x 19

Prime factors of 323 are 17 x 19

The highest common occurrence is 19¹

Therefore, GCD of 266, 304, 323 is 19.

Given numbers are 266, 304, 323

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

Apply this formula for all numbers.

Step1:

LCM(266, 304) = 2128

GCD(266, 304) = ( 266 x 304 ) / 2128

= 266 / 304

= 266

Step2:

LCM(38, 323) = 646

GCD(38, 323) = ( 38 x 323 ) / 646

= 38 / 323

= 38

So, Greatest Common Divisor of 266, 304, 323 is 19

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Given numbers are 266, 304, 323
The greatest common divisor of numbers 266, 304, 323 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 266, 304, 323 is 19.

1. What is the GCD of 266, 304, 323?

GCD of given numbers 266, 304, 323 is 19

2. How to calculate the greatest common divisor of 266, 304, 323?

We can find the highest common divisor of 266, 304, 323 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 266, 304, 323 i.e 19.

3. How can I use the GCD of 266, 304, 323Calculator?

Out the numbers 266, 304, 323 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.