GCD of 206, 438, 72, 238 Calculator

Given Input numbers are 206, 438, 72, 238

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

Divisors of 206 :

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

1, 2, 103, 206

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 72 :

The positive integer divisors of 72 that completely divides 72 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

GCD of numbers is the greatest common divisor

So, the GCD (206, 438, 72, 238) = 2.

Given numbers are 206, 438, 72, 238

The list of prime factors of all numbers are

Prime factors of 206 are 2 x 103

Prime factors of 438 are 2 x 3 x 73

Prime factors of 72 are 2 x 2 x 2 x 3 x 3

Prime factors of 238 are 2 x 7 x 17

The highest common occurrence is 2¹

Therefore, GCD of 206, 438, 72, 238 is 2.

Given numbers are 206, 438, 72, 238

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

Apply this formula for all numbers.

Step1:

LCM(206, 438) = 45114

GCD(206, 438) = ( 206 x 438 ) / 45114

= 206 / 438

= 206

Step2:

LCM(2, 72) = 72

GCD(2, 72) = ( 2 x 72 ) / 72

= 2 / 72

= 2

Step3:

LCM(2, 238) = 238

GCD(2, 238) = ( 2 x 238 ) / 238

= 2 / 238

= 2

So, Greatest Common Divisor of 206, 438, 72, 238 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 390, 600, 16, 102
• GCD of 551, 575, 43, 168
• GCD of 148, 710, 34, 754
• GCD of 538, 944, 96, 782
• GCD of 484, 106, 42, 786

Given numbers are 206, 438, 72, 238
The greatest common divisor of numbers 206, 438, 72, 238 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 206, 438, 72, 238 is 2.

1. What is the GCD of 206, 438, 72, 238?

GCD of given numbers 206, 438, 72, 238 is 2

2. How to calculate the greatest common divisor of 206, 438, 72, 238?

We can find the highest common divisor of 206, 438, 72, 238 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 206, 438, 72, 238 i.e 2.

3. How can I use the GCD of 206, 438, 72, 238Calculator?

Out the numbers 206, 438, 72, 238 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.