GCD of 466, 612, 520, 198 Calculator

Given Input numbers are 466, 612, 520, 198

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

Divisors of 466 :

The positive integer divisors of 466 that completely divides 466 are.

1, 2, 233, 466

Divisors of 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

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 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 (466, 612, 520, 198) = 2.

Given numbers are 466, 612, 520, 198

The list of prime factors of all numbers are

Prime factors of 466 are 2 x 233

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

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

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

The highest common occurrence is 2¹

Therefore, GCD of 466, 612, 520, 198 is 2.

Given numbers are 466, 612, 520, 198

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

Apply this formula for all numbers.

Step1:

LCM(466, 612) = 142596

GCD(466, 612) = ( 466 x 612 ) / 142596

= 466 / 612

= 466

Step2:

LCM(2, 520) = 520

GCD(2, 520) = ( 2 x 520 ) / 520

= 2 / 520

= 2

Step3:

LCM(2, 198) = 198

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

= 2 / 198

= 2

So, Greatest Common Divisor of 466, 612, 520, 198 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 148, 803, 124, 955
• GCD of 291, 674, 131, 613
• GCD of 793, 737, 100, 753
• GCD of 835, 145, 269, 669
• GCD of 824, 652, 926, 998

Given numbers are 466, 612, 520, 198
The greatest common divisor of numbers 466, 612, 520, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 466, 612, 520, 198 is 2.

1. What is the GCD of 466, 612, 520, 198?

GCD of given numbers 466, 612, 520, 198 is 2

2. How to calculate the greatest common divisor of 466, 612, 520, 198?

We can find the highest common divisor of 466, 612, 520, 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 466, 612, 520, 198 i.e 2.

3. How can I use the GCD of 466, 612, 520, 198Calculator?

Out the numbers 466, 612, 520, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.