GCD of 506, 652, 198 Calculator

Given Input numbers are 506, 652, 198

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

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 652 :

The positive integer divisors of 652 that completely divides 652 are.

1, 2, 4, 163, 326, 652

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

GCD of numbers is the greatest common divisor

So, the GCD (506, 652, 198) = 2.

Given numbers are 506, 652, 198

The list of prime factors of all numbers are

Prime factors of 506 are 2 x 11 x 23

Prime factors of 652 are 2 x 2 x 163

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

The highest common occurrence is 2¹

Therefore, GCD of 506, 652, 198 is 2.

Given numbers are 506, 652, 198

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

Apply this formula for all numbers.

Step1:

LCM(506, 652) = 164956

GCD(506, 652) = ( 506 x 652 ) / 164956

= 506 / 652

= 506

Step2:

LCM(2, 198) = 198

GCD(2, 198) = ( 2 x 198 ) / 198

= 2 / 198

= 2

So, Greatest Common Divisor of 506, 652, 198 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 439, 298, 695
• GCD of 140, 465, 985
• GCD of 153, 276, 678
• GCD of 832, 254, 406
• GCD of 353, 384, 818

Given numbers are 506, 652, 198
The greatest common divisor of numbers 506, 652, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 506, 652, 198 is 2.

1. What is the GCD of 506, 652, 198?

GCD of given numbers 506, 652, 198 is 2

2. How to calculate the greatest common divisor of 506, 652, 198?

We can find the highest common divisor of 506, 652, 198 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 506, 652, 198 i.e 2.

3. How can I use the GCD of 506, 652, 198Calculator?

Out the numbers 506, 652, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.