GCD of 204, 240, 502, 311 Calculator

Given Input numbers are 204, 240, 502, 311

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

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

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 502 :

The positive integer divisors of 502 that completely divides 502 are.

1, 2, 251, 502

Divisors of 311 :

The positive integer divisors of 311 that completely divides 311 are.

1, 311

GCD of numbers is the greatest common divisor

So, the GCD (204, 240, 502, 311) = 1.

Given numbers are 204, 240, 502, 311

The list of prime factors of all numbers are

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

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 502 are 2 x 251

Prime factors of 311 are 311

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 204, 240, 502, 311

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

Apply this formula for all numbers.

Step1:

LCM(204, 240) = 4080

GCD(204, 240) = ( 204 x 240 ) / 4080

= 204 / 240

= 204

Step2:

LCM(12, 502) = 3012

GCD(12, 502) = ( 12 x 502 ) / 3012

= 12 / 502

= 12

Step3:

LCM(2, 311) = 622

GCD(2, 311) = ( 2 x 311 ) / 622

= 2 / 311

= 2

So, Greatest Common Divisor of 204, 240, 502, 311 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 217, 311, 693, 213
• GCD of 277, 352, 977, 851
• GCD of 935, 602, 164, 428
• GCD of 163, 168, 512, 949
• GCD of 432, 781, 726, 648

Given numbers are 204, 240, 502, 311
The greatest common divisor of numbers 204, 240, 502, 311 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 204, 240, 502, 311 is 1.

1. What is the GCD of 204, 240, 502, 311?

GCD of given numbers 204, 240, 502, 311 is 1

2. How to calculate the greatest common divisor of 204, 240, 502, 311?

We can find the highest common divisor of 204, 240, 502, 311 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 204, 240, 502, 311 i.e 1.

3. How can I use the GCD of 204, 240, 502, 311Calculator?

Out the numbers 204, 240, 502, 311 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.