GCD of 198, 520, 296, 558 Calculator

Given Input numbers are 198, 520, 296, 558

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

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 520 :

The positive integer divisors of 520 that completely divides 520 are.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 296 :

The positive integer divisors of 296 that completely divides 296 are.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 558 :

The positive integer divisors of 558 that completely divides 558 are.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

GCD of numbers is the greatest common divisor

So, the GCD (198, 520, 296, 558) = 2.

Given numbers are 198, 520, 296, 558

The list of prime factors of all numbers are

Prime factors of 198 are 2 x 3 x 3 x 11

Prime factors of 520 are 2 x 2 x 2 x 5 x 13

Prime factors of 296 are 2 x 2 x 2 x 37

Prime factors of 558 are 2 x 3 x 3 x 31

The highest common occurrence is 2¹

Therefore, GCD of 198, 520, 296, 558 is 2.

Given numbers are 198, 520, 296, 558

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

Apply this formula for all numbers.

Step1:

LCM(198, 520) = 51480

GCD(198, 520) = ( 198 x 520 ) / 51480

= 198 / 520

= 198

Step2:

LCM(2, 296) = 296

GCD(2, 296) = ( 2 x 296 ) / 296

= 2 / 296

= 2

Step3:

LCM(2, 558) = 558

GCD(2, 558) = ( 2 x 558 ) / 558

= 2 / 558

= 2

So, Greatest Common Divisor of 198, 520, 296, 558 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 433, 228, 236, 879
• GCD of 865, 815, 748, 683
• GCD of 763, 870, 549, 415
• GCD of 454, 317, 997, 127
• GCD of 654, 791, 201, 907

Given numbers are 198, 520, 296, 558
The greatest common divisor of numbers 198, 520, 296, 558 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 520, 296, 558 is 2.

1. What is the GCD of 198, 520, 296, 558?

GCD of given numbers 198, 520, 296, 558 is 2

2. How to calculate the greatest common divisor of 198, 520, 296, 558?

We can find the highest common divisor of 198, 520, 296, 558 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 198, 520, 296, 558 i.e 2.

3. How can I use the GCD of 198, 520, 296, 558Calculator?

Out the numbers 198, 520, 296, 558 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.