GCD of 998, 522, 313, 996 Calculator

Given Input numbers are 998, 522, 313, 996

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 522 :

The positive integer divisors of 522 that completely divides 522 are.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 313 :

The positive integer divisors of 313 that completely divides 313 are.

1, 313

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

GCD of numbers is the greatest common divisor

So, the GCD (998, 522, 313, 996) = 1.

Given numbers are 998, 522, 313, 996

The list of prime factors of all numbers are

Prime factors of 998 are 2 x 499

Prime factors of 522 are 2 x 3 x 3 x 29

Prime factors of 313 are 313

Prime factors of 996 are 2 x 2 x 3 x 83

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 998, 522, 313, 996

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

Apply this formula for all numbers.

Step1:

LCM(998, 522) = 260478

GCD(998, 522) = ( 998 x 522 ) / 260478

= 998 / 522

= 998

Step2:

LCM(2, 313) = 626

GCD(2, 313) = ( 2 x 313 ) / 626

= 2 / 313

= 2

Step3:

LCM(1, 996) = 996

GCD(1, 996) = ( 1 x 996 ) / 996

= 1 / 996

= 1

So, Greatest Common Divisor of 998, 522, 313, 996 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 688, 364, 392, 815
• GCD of 185, 179, 478, 977
• GCD of 773, 659, 660, 180
• GCD of 343, 422, 227, 792
• GCD of 335, 652, 600, 789

Given numbers are 998, 522, 313, 996
The greatest common divisor of numbers 998, 522, 313, 996 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 522, 313, 996 is 1.

1. What is the GCD of 998, 522, 313, 996?

GCD of given numbers 998, 522, 313, 996 is 1

2. How to calculate the greatest common divisor of 998, 522, 313, 996?

We can find the highest common divisor of 998, 522, 313, 996 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, 522, 313, 996 i.e 1.

3. How can I use the GCD of 998, 522, 313, 996Calculator?

Out the numbers 998, 522, 313, 996 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.