GCD of 502, 500, 338, 424 Calculator

Given Input numbers are 502, 500, 338, 424

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

Divisors of 502 :

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

1, 2, 251, 502

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 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424

GCD of numbers is the greatest common divisor

So, the GCD (502, 500, 338, 424) = 2.

Given numbers are 502, 500, 338, 424

The list of prime factors of all numbers are

Prime factors of 502 are 2 x 251

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

Prime factors of 338 are 2 x 13 x 13

Prime factors of 424 are 2 x 2 x 2 x 53

The highest common occurrence is 2¹

Therefore, GCD of 502, 500, 338, 424 is 2.

Given numbers are 502, 500, 338, 424

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

Apply this formula for all numbers.

Step1:

LCM(502, 500) = 125500

GCD(502, 500) = ( 502 x 500 ) / 125500

= 502 / 500

= 502

Step2:

LCM(2, 338) = 338

GCD(2, 338) = ( 2 x 338 ) / 338

= 2 / 338

= 2

Step3:

LCM(2, 424) = 424

GCD(2, 424) = ( 2 x 424 ) / 424

= 2 / 424

= 2

So, Greatest Common Divisor of 502, 500, 338, 424 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 457, 259, 440, 356
• GCD of 677, 128, 610, 878
• GCD of 695, 370, 871, 580
• GCD of 274, 499, 775, 478
• GCD of 609, 520, 342, 799

Given numbers are 502, 500, 338, 424
The greatest common divisor of numbers 502, 500, 338, 424 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 502, 500, 338, 424 is 2.

1. What is the GCD of 502, 500, 338, 424?

GCD of given numbers 502, 500, 338, 424 is 2

2. How to calculate the greatest common divisor of 502, 500, 338, 424?

We can find the highest common divisor of 502, 500, 338, 424 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 502, 500, 338, 424 i.e 2.

3. How can I use the GCD of 502, 500, 338, 424Calculator?

Out the numbers 502, 500, 338, 424 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.