GCD of 438, 471, 336, 912 Calculator

Given Input numbers are 438, 471, 336, 912

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 471 :

The positive integer divisors of 471 that completely divides 471 are.

1, 3, 157, 471

Divisors of 336 :

The positive integer divisors of 336 that completely divides 336 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 912 :

The positive integer divisors of 912 that completely divides 912 are.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

GCD of numbers is the greatest common divisor

So, the GCD (438, 471, 336, 912) = 3.

Given numbers are 438, 471, 336, 912

The list of prime factors of all numbers are

Prime factors of 438 are 2 x 3 x 73

Prime factors of 471 are 3 x 157

Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19

The highest common occurrence is 3¹

Therefore, GCD of 438, 471, 336, 912 is 3.

Given numbers are 438, 471, 336, 912

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

Apply this formula for all numbers.

Step1:

LCM(438, 471) = 68766

GCD(438, 471) = ( 438 x 471 ) / 68766

= 438 / 471

= 438

Step2:

LCM(3, 336) = 336

GCD(3, 336) = ( 3 x 336 ) / 336

= 3 / 336

= 3

Step3:

LCM(3, 912) = 912

GCD(3, 912) = ( 3 x 912 ) / 912

= 3 / 912

= 3

So, Greatest Common Divisor of 438, 471, 336, 912 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 954, 963, 115, 593
• GCD of 547, 727, 689, 589
• GCD of 587, 613, 671, 798
• GCD of 796, 577, 905, 496
• GCD of 727, 315, 893, 651

Given numbers are 438, 471, 336, 912
The greatest common divisor of numbers 438, 471, 336, 912 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 471, 336, 912 is 3.

1. What is the GCD of 438, 471, 336, 912?

GCD of given numbers 438, 471, 336, 912 is 3

2. How to calculate the greatest common divisor of 438, 471, 336, 912?

We can find the highest common divisor of 438, 471, 336, 912 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, 471, 336, 912 i.e 3.

3. How can I use the GCD of 438, 471, 336, 912Calculator?

Out the numbers 438, 471, 336, 912 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.