GCD of 500, 124, 199, 828 Calculator

Given Input numbers are 500, 124, 199, 828

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 124 :

The positive integer divisors of 124 that completely divides 124 are.

1, 2, 4, 31, 62, 124

Divisors of 199 :

The positive integer divisors of 199 that completely divides 199 are.

1, 199

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

GCD of numbers is the greatest common divisor

So, the GCD (500, 124, 199, 828) = 1.

Given numbers are 500, 124, 199, 828

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 124 are 2 x 2 x 31

Prime factors of 199 are 199

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

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

Given numbers are 500, 124, 199, 828

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

Apply this formula for all numbers.

Step1:

LCM(500, 124) = 15500

GCD(500, 124) = ( 500 x 124 ) / 15500

= 500 / 124

= 500

Step2:

LCM(4, 199) = 796

GCD(4, 199) = ( 4 x 199 ) / 796

= 4 / 199

= 4

Step3:

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

= 1 / 828

= 1

So, Greatest Common Divisor of 500, 124, 199, 828 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 327, 644, 495, 734
• GCD of 344, 105, 300, 123
• GCD of 821, 365, 378, 522
• GCD of 802, 634, 837, 246
• GCD of 324, 177, 982, 305

Given numbers are 500, 124, 199, 828
The greatest common divisor of numbers 500, 124, 199, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 124, 199, 828 is 1.

1. What is the GCD of 500, 124, 199, 828?

GCD of given numbers 500, 124, 199, 828 is 1

2. How to calculate the greatest common divisor of 500, 124, 199, 828?

We can find the highest common divisor of 500, 124, 199, 828 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, 124, 199, 828 i.e 1.

3. How can I use the GCD of 500, 124, 199, 828Calculator?

Out the numbers 500, 124, 199, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.