GCD of 438, 396, 174, 318 Calculator

Given Input numbers are 438, 396, 174, 318

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

Divisors of 438 :

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

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

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 174 :

The positive integer divisors of 174 that completely divides 174 are.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

GCD of numbers is the greatest common divisor

So, the GCD (438, 396, 174, 318) = 6.

Given numbers are 438, 396, 174, 318

The list of prime factors of all numbers are

Prime factors of 438 are 2 x 3 x 73

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 174 are 2 x 3 x 29

Prime factors of 318 are 2 x 3 x 53

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 438, 396, 174, 318 is 6.

Given numbers are 438, 396, 174, 318

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

Apply this formula for all numbers.

Step1:

LCM(438, 396) = 28908

GCD(438, 396) = ( 438 x 396 ) / 28908

= 438 / 396

= 438

Step2:

LCM(6, 174) = 174

GCD(6, 174) = ( 6 x 174 ) / 174

= 6 / 174

= 6

Step3:

LCM(6, 318) = 318

GCD(6, 318) = ( 6 x 318 ) / 318

= 6 / 318

= 6

So, Greatest Common Divisor of 438, 396, 174, 318 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 995, 362, 289, 790
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Given numbers are 438, 396, 174, 318
The greatest common divisor of numbers 438, 396, 174, 318 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 396, 174, 318 is 6.

1. What is the GCD of 438, 396, 174, 318?

GCD of given numbers 438, 396, 174, 318 is 6

2. How to calculate the greatest common divisor of 438, 396, 174, 318?

We can find the highest common divisor of 438, 396, 174, 318 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 438, 396, 174, 318 i.e 6.

3. How can I use the GCD of 438, 396, 174, 318Calculator?

Out the numbers 438, 396, 174, 318 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.