GCD of 442, 108, 266, 324 Calculator

Given Input numbers are 442, 108, 266, 324

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

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 266 :

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

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

Divisors of 324 :

The positive integer divisors of 324 that completely divides 324 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

GCD of numbers is the greatest common divisor

So, the GCD (442, 108, 266, 324) = 2.

Given numbers are 442, 108, 266, 324

The list of prime factors of all numbers are

Prime factors of 442 are 2 x 13 x 17

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 266 are 2 x 7 x 19

Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 442, 108, 266, 324 is 2.

Given numbers are 442, 108, 266, 324

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

Apply this formula for all numbers.

Step1:

LCM(442, 108) = 23868

GCD(442, 108) = ( 442 x 108 ) / 23868

= 442 / 108

= 442

Step2:

LCM(2, 266) = 266

GCD(2, 266) = ( 2 x 266 ) / 266

= 2 / 266

= 2

Step3:

LCM(2, 324) = 324

GCD(2, 324) = ( 2 x 324 ) / 324

= 2 / 324

= 2

So, Greatest Common Divisor of 442, 108, 266, 324 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 926, 692, 367, 313
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Given numbers are 442, 108, 266, 324
The greatest common divisor of numbers 442, 108, 266, 324 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 442, 108, 266, 324 is 2.

1. What is the GCD of 442, 108, 266, 324?

GCD of given numbers 442, 108, 266, 324 is 2

2. How to calculate the greatest common divisor of 442, 108, 266, 324?

We can find the highest common divisor of 442, 108, 266, 324 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 442, 108, 266, 324 i.e 2.

3. How can I use the GCD of 442, 108, 266, 324Calculator?

Out the numbers 442, 108, 266, 324 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.