GCD of 312, 438, 342, 164 Calculator

Given Input numbers are 312, 438, 342, 164

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

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 438 :

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

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

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

GCD of numbers is the greatest common divisor

So, the GCD (312, 438, 342, 164) = 2.

Given numbers are 312, 438, 342, 164

The list of prime factors of all numbers are

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 438 are 2 x 3 x 73

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 164 are 2 x 2 x 41

The highest common occurrence is 2¹

Therefore, GCD of 312, 438, 342, 164 is 2.

Given numbers are 312, 438, 342, 164

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

Apply this formula for all numbers.

Step1:

LCM(312, 438) = 22776

GCD(312, 438) = ( 312 x 438 ) / 22776

= 312 / 438

= 312

Step2:

LCM(6, 342) = 342

GCD(6, 342) = ( 6 x 342 ) / 342

= 6 / 342

= 6

Step3:

LCM(6, 164) = 492

GCD(6, 164) = ( 6 x 164 ) / 492

= 6 / 164

= 6

So, Greatest Common Divisor of 312, 438, 342, 164 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 286, 230, 373, 533
• GCD of 464, 133, 463, 773
• GCD of 288, 965, 798, 681
• GCD of 457, 235, 620, 725
• GCD of 524, 898, 347, 565

Given numbers are 312, 438, 342, 164
The greatest common divisor of numbers 312, 438, 342, 164 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 438, 342, 164 is 2.

1. What is the GCD of 312, 438, 342, 164?

GCD of given numbers 312, 438, 342, 164 is 2

2. How to calculate the greatest common divisor of 312, 438, 342, 164?

We can find the highest common divisor of 312, 438, 342, 164 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 312, 438, 342, 164 i.e 2.

3. How can I use the GCD of 312, 438, 342, 164Calculator?

Out the numbers 312, 438, 342, 164 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.