GCD of 998, 404, 318, 980 Calculator

Given Input numbers are 998, 404, 318, 980

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 404 :

The positive integer divisors of 404 that completely divides 404 are.

1, 2, 4, 101, 202, 404

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 980 :

The positive integer divisors of 980 that completely divides 980 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

GCD of numbers is the greatest common divisor

So, the GCD (998, 404, 318, 980) = 2.

Given numbers are 998, 404, 318, 980

The list of prime factors of all numbers are

Prime factors of 998 are 2 x 499

Prime factors of 404 are 2 x 2 x 101

Prime factors of 318 are 2 x 3 x 53

Prime factors of 980 are 2 x 2 x 5 x 7 x 7

The highest common occurrence is 2¹

Therefore, GCD of 998, 404, 318, 980 is 2.

Given numbers are 998, 404, 318, 980

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

Apply this formula for all numbers.

Step1:

LCM(998, 404) = 201596

GCD(998, 404) = ( 998 x 404 ) / 201596

= 998 / 404

= 998

Step2:

LCM(2, 318) = 318

GCD(2, 318) = ( 2 x 318 ) / 318

= 2 / 318

= 2

Step3:

LCM(2, 980) = 980

GCD(2, 980) = ( 2 x 980 ) / 980

= 2 / 980

= 2

So, Greatest Common Divisor of 998, 404, 318, 980 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 684, 226, 503, 647
• GCD of 128, 501, 872, 826
• GCD of 324, 170, 337, 770
• GCD of 104, 938, 629, 910
• GCD of 546, 947, 265, 432

Given numbers are 998, 404, 318, 980
The greatest common divisor of numbers 998, 404, 318, 980 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 404, 318, 980 is 2.

1. What is the GCD of 998, 404, 318, 980?

GCD of given numbers 998, 404, 318, 980 is 2

2. How to calculate the greatest common divisor of 998, 404, 318, 980?

We can find the highest common divisor of 998, 404, 318, 980 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, 404, 318, 980 i.e 2.

3. How can I use the GCD of 998, 404, 318, 980Calculator?

Out the numbers 998, 404, 318, 980 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.