GCD of 500, 504, 500, 220 Calculator

Given Input numbers are 500, 504, 500, 220

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 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

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 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

GCD of numbers is the greatest common divisor

So, the GCD (500, 504, 500, 220) = 4.

Given numbers are 500, 504, 500, 220

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 504 are 2 x 2 x 2 x 3 x 3 x 7

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

Prime factors of 220 are 2 x 2 x 5 x 11

The highest common occurrence is 2²

Therefore, GCD of 500, 504, 500, 220 is 4.

Given numbers are 500, 504, 500, 220

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

Apply this formula for all numbers.

Step1:

LCM(500, 504) = 63000

GCD(500, 504) = ( 500 x 504 ) / 63000

= 500 / 504

= 500

Step2:

LCM(4, 500) = 500

GCD(4, 500) = ( 4 x 500 ) / 500

= 4 / 500

= 4

Step3:

LCM(4, 220) = 220

GCD(4, 220) = ( 4 x 220 ) / 220

= 4 / 220

= 4

So, Greatest Common Divisor of 500, 504, 500, 220 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 429, 749, 245, 306
• GCD of 222, 835, 883, 633
• GCD of 569, 666, 735, 109
• GCD of 350, 295, 198, 662
• GCD of 912, 506, 676, 891

Given numbers are 500, 504, 500, 220
The greatest common divisor of numbers 500, 504, 500, 220 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 504, 500, 220 is 4.

1. What is the GCD of 500, 504, 500, 220?

GCD of given numbers 500, 504, 500, 220 is 4

2. How to calculate the greatest common divisor of 500, 504, 500, 220?

We can find the highest common divisor of 500, 504, 500, 220 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, 504, 500, 220 i.e 4.

3. How can I use the GCD of 500, 504, 500, 220Calculator?

Out the numbers 500, 504, 500, 220 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.