GCD of 660, 230, 508, 204 Calculator

Given Input numbers are 660, 230, 508, 204

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

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 230 :

The positive integer divisors of 230 that completely divides 230 are.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 204 :

The positive integer divisors of 204 that completely divides 204 are.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

GCD of numbers is the greatest common divisor

So, the GCD (660, 230, 508, 204) = 2.

Given numbers are 660, 230, 508, 204

The list of prime factors of all numbers are

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

Prime factors of 230 are 2 x 5 x 23

Prime factors of 508 are 2 x 2 x 127

Prime factors of 204 are 2 x 2 x 3 x 17

The highest common occurrence is 2¹

Therefore, GCD of 660, 230, 508, 204 is 2.

Given numbers are 660, 230, 508, 204

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

Apply this formula for all numbers.

Step1:

LCM(660, 230) = 15180

GCD(660, 230) = ( 660 x 230 ) / 15180

= 660 / 230

= 660

Step2:

LCM(10, 508) = 2540

GCD(10, 508) = ( 10 x 508 ) / 2540

= 10 / 508

= 10

Step3:

LCM(2, 204) = 204

GCD(2, 204) = ( 2 x 204 ) / 204

= 2 / 204

= 2

So, Greatest Common Divisor of 660, 230, 508, 204 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 384, 786, 537, 836
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• GCD of 597, 468, 149, 174

Given numbers are 660, 230, 508, 204
The greatest common divisor of numbers 660, 230, 508, 204 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 660, 230, 508, 204 is 2.

1. What is the GCD of 660, 230, 508, 204?

GCD of given numbers 660, 230, 508, 204 is 2

2. How to calculate the greatest common divisor of 660, 230, 508, 204?

We can find the highest common divisor of 660, 230, 508, 204 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 660, 230, 508, 204 i.e 2.

3. How can I use the GCD of 660, 230, 508, 204Calculator?

Out the numbers 660, 230, 508, 204 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.