GCD of 228, 660, 362, 198 Calculator

Given Input numbers are 228, 660, 362, 198

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 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362

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 (228, 660, 362, 198) = 2.

Given numbers are 228, 660, 362, 198

The list of prime factors of all numbers are

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

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

Prime factors of 362 are 2 x 181

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

The highest common occurrence is 2¹

Therefore, GCD of 228, 660, 362, 198 is 2.

Given numbers are 228, 660, 362, 198

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

Apply this formula for all numbers.

Step1:

LCM(228, 660) = 12540

GCD(228, 660) = ( 228 x 660 ) / 12540

= 228 / 660

= 228

Step2:

LCM(12, 362) = 2172

GCD(12, 362) = ( 12 x 362 ) / 2172

= 12 / 362

= 12

Step3:

LCM(2, 198) = 198

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

= 2 / 198

= 2

So, Greatest Common Divisor of 228, 660, 362, 198 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 773, 901, 472, 149
• GCD of 336, 337, 360, 974
• GCD of 555, 635, 438, 554
• GCD of 122, 751, 265, 523
• GCD of 383, 552, 260, 430

Given numbers are 228, 660, 362, 198
The greatest common divisor of numbers 228, 660, 362, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 228, 660, 362, 198 is 2.

1. What is the GCD of 228, 660, 362, 198?

GCD of given numbers 228, 660, 362, 198 is 2

2. How to calculate the greatest common divisor of 228, 660, 362, 198?

We can find the highest common divisor of 228, 660, 362, 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 228, 660, 362, 198 i.e 2.

3. How can I use the GCD of 228, 660, 362, 198Calculator?

Out the numbers 228, 660, 362, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.