GCD of 228, 596, 980, 398 Calculator

Given Input numbers are 228, 596, 980, 398

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

Divisors of 228 :

The positive integer divisors of 228 that completely divides 228 are.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 596 :

The positive integer divisors of 596 that completely divides 596 are.

1, 2, 4, 149, 298, 596

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

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

GCD of numbers is the greatest common divisor

So, the GCD (228, 596, 980, 398) = 2.

Given numbers are 228, 596, 980, 398

The list of prime factors of all numbers are

Prime factors of 228 are 2 x 2 x 3 x 19

Prime factors of 596 are 2 x 2 x 149

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

Prime factors of 398 are 2 x 199

The highest common occurrence is 2¹

Therefore, GCD of 228, 596, 980, 398 is 2.

Given numbers are 228, 596, 980, 398

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

Apply this formula for all numbers.

Step1:

LCM(228, 596) = 33972

GCD(228, 596) = ( 228 x 596 ) / 33972

= 228 / 596

= 228

Step2:

LCM(4, 980) = 980

GCD(4, 980) = ( 4 x 980 ) / 980

= 4 / 980

= 4

Step3:

LCM(4, 398) = 796

GCD(4, 398) = ( 4 x 398 ) / 796

= 4 / 398

= 4

So, Greatest Common Divisor of 228, 596, 980, 398 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 395, 212, 223, 958
• GCD of 499, 112, 633, 271
• GCD of 723, 473, 472, 699
• GCD of 745, 642, 912, 492
• GCD of 176, 640, 190, 158

Given numbers are 228, 596, 980, 398
The greatest common divisor of numbers 228, 596, 980, 398 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 228, 596, 980, 398 is 2.

1. What is the GCD of 228, 596, 980, 398?

GCD of given numbers 228, 596, 980, 398 is 2

2. How to calculate the greatest common divisor of 228, 596, 980, 398?

We can find the highest common divisor of 228, 596, 980, 398 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 228, 596, 980, 398 i.e 2.

3. How can I use the GCD of 228, 596, 980, 398Calculator?

Out the numbers 228, 596, 980, 398 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.