GCD of 438, 204, 168, 916 Calculator

Given Input numbers are 438, 204, 168, 916

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 204 :

The positive integer divisors of 204 that completely divides 204 are.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 168 :

The positive integer divisors of 168 that completely divides 168 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

GCD of numbers is the greatest common divisor

So, the GCD (438, 204, 168, 916) = 2.

Given numbers are 438, 204, 168, 916

The list of prime factors of all numbers are

Prime factors of 438 are 2 x 3 x 73

Prime factors of 204 are 2 x 2 x 3 x 17

Prime factors of 168 are 2 x 2 x 2 x 3 x 7

Prime factors of 916 are 2 x 2 x 229

The highest common occurrence is 2¹

Therefore, GCD of 438, 204, 168, 916 is 2.

Given numbers are 438, 204, 168, 916

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

Apply this formula for all numbers.

Step1:

LCM(438, 204) = 14892

GCD(438, 204) = ( 438 x 204 ) / 14892

= 438 / 204

= 438

Step2:

LCM(6, 168) = 168

GCD(6, 168) = ( 6 x 168 ) / 168

= 6 / 168

= 6

Step3:

LCM(6, 916) = 2748

GCD(6, 916) = ( 6 x 916 ) / 2748

= 6 / 916

= 6

So, Greatest Common Divisor of 438, 204, 168, 916 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 141, 427, 696, 538
• GCD of 544, 117, 608, 489
• GCD of 424, 773, 279, 149
• GCD of 320, 637, 214, 695
• GCD of 389, 780, 680, 435

Given numbers are 438, 204, 168, 916
The greatest common divisor of numbers 438, 204, 168, 916 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 204, 168, 916 is 2.

1. What is the GCD of 438, 204, 168, 916?

GCD of given numbers 438, 204, 168, 916 is 2

2. How to calculate the greatest common divisor of 438, 204, 168, 916?

We can find the highest common divisor of 438, 204, 168, 916 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, 204, 168, 916 i.e 2.

3. How can I use the GCD of 438, 204, 168, 916Calculator?

Out the numbers 438, 204, 168, 916 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.