GCD of 324, 206, 242 Calculator

Given Input numbers are 324, 206, 242

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

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

Divisors of 206 :

The positive integer divisors of 206 that completely divides 206 are.

1, 2, 103, 206

Divisors of 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242

GCD of numbers is the greatest common divisor

So, the GCD (324, 206, 242) = 2.

Given numbers are 324, 206, 242

The list of prime factors of all numbers are

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

Prime factors of 206 are 2 x 103

Prime factors of 242 are 2 x 11 x 11

The highest common occurrence is 2¹

Therefore, GCD of 324, 206, 242 is 2.

Given numbers are 324, 206, 242

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

Apply this formula for all numbers.

Step1:

LCM(324, 206) = 33372

GCD(324, 206) = ( 324 x 206 ) / 33372

= 324 / 206

= 324

Step2:

LCM(2, 242) = 242

GCD(2, 242) = ( 2 x 242 ) / 242

= 2 / 242

= 2

So, Greatest Common Divisor of 324, 206, 242 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 751, 368, 778
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Given numbers are 324, 206, 242
The greatest common divisor of numbers 324, 206, 242 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 324, 206, 242 is 2.

1. What is the GCD of 324, 206, 242?

GCD of given numbers 324, 206, 242 is 2

2. How to calculate the greatest common divisor of 324, 206, 242?

We can find the highest common divisor of 324, 206, 242 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 324, 206, 242 i.e 2.

3. How can I use the GCD of 324, 206, 242Calculator?

Out the numbers 324, 206, 242 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.