GCD of 500, 388, 102, 509 Calculator

Given Input numbers are 500, 388, 102, 509

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

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 388 :

The positive integer divisors of 388 that completely divides 388 are.

1, 2, 4, 97, 194, 388

Divisors of 102 :

The positive integer divisors of 102 that completely divides 102 are.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 509 :

The positive integer divisors of 509 that completely divides 509 are.

1, 509

GCD of numbers is the greatest common divisor

So, the GCD (500, 388, 102, 509) = 1.

Given numbers are 500, 388, 102, 509

The list of prime factors of all numbers are

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 388 are 2 x 2 x 97

Prime factors of 102 are 2 x 3 x 17

Prime factors of 509 are 509

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

Given numbers are 500, 388, 102, 509

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

Apply this formula for all numbers.

Step1:

LCM(500, 388) = 48500

GCD(500, 388) = ( 500 x 388 ) / 48500

= 500 / 388

= 500

Step2:

LCM(4, 102) = 204

GCD(4, 102) = ( 4 x 102 ) / 204

= 4 / 102

= 4

Step3:

LCM(2, 509) = 1018

GCD(2, 509) = ( 2 x 509 ) / 1018

= 2 / 509

= 2

So, Greatest Common Divisor of 500, 388, 102, 509 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 204, 857, 997, 787
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• GCD of 916, 715, 279, 342
• GCD of 760, 551, 334, 982

Given numbers are 500, 388, 102, 509
The greatest common divisor of numbers 500, 388, 102, 509 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 388, 102, 509 is 1.

1. What is the GCD of 500, 388, 102, 509?

GCD of given numbers 500, 388, 102, 509 is 1

2. How to calculate the greatest common divisor of 500, 388, 102, 509?

We can find the highest common divisor of 500, 388, 102, 509 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 500, 388, 102, 509 i.e 1.

3. How can I use the GCD of 500, 388, 102, 509Calculator?

Out the numbers 500, 388, 102, 509 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.