GCD of 312, 998, 364, 390 Calculator

Given Input numbers are 312, 998, 364, 390

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 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

GCD of numbers is the greatest common divisor

So, the GCD (312, 998, 364, 390) = 2.

Given numbers are 312, 998, 364, 390

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 998 are 2 x 499

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 390 are 2 x 3 x 5 x 13

The highest common occurrence is 2¹

Therefore, GCD of 312, 998, 364, 390 is 2.

Given numbers are 312, 998, 364, 390

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

Apply this formula for all numbers.

Step1:

LCM(312, 998) = 155688

GCD(312, 998) = ( 312 x 998 ) / 155688

= 312 / 998

= 312

Step2:

LCM(2, 364) = 364

GCD(2, 364) = ( 2 x 364 ) / 364

= 2 / 364

= 2

Step3:

LCM(2, 390) = 390

GCD(2, 390) = ( 2 x 390 ) / 390

= 2 / 390

= 2

So, Greatest Common Divisor of 312, 998, 364, 390 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 698, 561, 713, 254
• GCD of 867, 585, 310, 922
• GCD of 562, 182, 918, 357
• GCD of 629, 240, 688, 637
• GCD of 616, 112, 283, 438

Given numbers are 312, 998, 364, 390
The greatest common divisor of numbers 312, 998, 364, 390 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 998, 364, 390 is 2.

1. What is the GCD of 312, 998, 364, 390?

GCD of given numbers 312, 998, 364, 390 is 2

2. How to calculate the greatest common divisor of 312, 998, 364, 390?

We can find the highest common divisor of 312, 998, 364, 390 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, 998, 364, 390 i.e 2.

3. How can I use the GCD of 312, 998, 364, 390Calculator?

Out the numbers 312, 998, 364, 390 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.