GCD of 998, 994, 316, 390 Calculator

Given Input numbers are 998, 994, 316, 390

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

Divisors of 998 :

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

1, 2, 499, 998

Divisors of 994 :

The positive integer divisors of 994 that completely divides 994 are.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 316 :

The positive integer divisors of 316 that completely divides 316 are.

1, 2, 4, 79, 158, 316

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 (998, 994, 316, 390) = 2.

Given numbers are 998, 994, 316, 390

The list of prime factors of all numbers are

Prime factors of 998 are 2 x 499

Prime factors of 994 are 2 x 7 x 71

Prime factors of 316 are 2 x 2 x 79

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

The highest common occurrence is 2¹

Therefore, GCD of 998, 994, 316, 390 is 2.

Given numbers are 998, 994, 316, 390

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

Apply this formula for all numbers.

Step1:

LCM(998, 994) = 496006

GCD(998, 994) = ( 998 x 994 ) / 496006

= 998 / 994

= 998

Step2:

LCM(2, 316) = 316

GCD(2, 316) = ( 2 x 316 ) / 316

= 2 / 316

= 2

Step3:

LCM(2, 390) = 390

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

= 2 / 390

= 2

So, Greatest Common Divisor of 998, 994, 316, 390 is 2

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Given numbers are 998, 994, 316, 390
The greatest common divisor of numbers 998, 994, 316, 390 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 994, 316, 390 is 2.

1. What is the GCD of 998, 994, 316, 390?

GCD of given numbers 998, 994, 316, 390 is 2

2. How to calculate the greatest common divisor of 998, 994, 316, 390?

We can find the highest common divisor of 998, 994, 316, 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 998, 994, 316, 390 i.e 2.

3. How can I use the GCD of 998, 994, 316, 390Calculator?

Out the numbers 998, 994, 316, 390 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.