GCD of 312, 198, 742, 328 Calculator

Given Input numbers are 312, 198, 742, 328

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 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 328 :

The positive integer divisors of 328 that completely divides 328 are.

1, 2, 4, 8, 41, 82, 164, 328

GCD of numbers is the greatest common divisor

So, the GCD (312, 198, 742, 328) = 2.

Given numbers are 312, 198, 742, 328

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 198 are 2 x 3 x 3 x 11

Prime factors of 742 are 2 x 7 x 53

Prime factors of 328 are 2 x 2 x 2 x 41

The highest common occurrence is 2¹

Therefore, GCD of 312, 198, 742, 328 is 2.

Given numbers are 312, 198, 742, 328

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

Apply this formula for all numbers.

Step1:

LCM(312, 198) = 10296

GCD(312, 198) = ( 312 x 198 ) / 10296

= 312 / 198

= 312

Step2:

LCM(6, 742) = 2226

GCD(6, 742) = ( 6 x 742 ) / 2226

= 6 / 742

= 6

Step3:

LCM(2, 328) = 328

GCD(2, 328) = ( 2 x 328 ) / 328

= 2 / 328

= 2

So, Greatest Common Divisor of 312, 198, 742, 328 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 479, 109, 676, 850
• GCD of 501, 693, 887, 467
• GCD of 971, 730, 856, 651
• GCD of 225, 275, 863, 854
• GCD of 807, 122, 134, 197

Given numbers are 312, 198, 742, 328
The greatest common divisor of numbers 312, 198, 742, 328 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 198, 742, 328 is 2.

1. What is the GCD of 312, 198, 742, 328?

GCD of given numbers 312, 198, 742, 328 is 2

2. How to calculate the greatest common divisor of 312, 198, 742, 328?

We can find the highest common divisor of 312, 198, 742, 328 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, 198, 742, 328 i.e 2.

3. How can I use the GCD of 312, 198, 742, 328Calculator?

Out the numbers 312, 198, 742, 328 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.