GCD of 488, 520, 998, 506 Calculator

Given Input numbers are 488, 520, 998, 506

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

Divisors of 488 :

The positive integer divisors of 488 that completely divides 488 are.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 520 :

The positive integer divisors of 520 that completely divides 520 are.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

GCD of numbers is the greatest common divisor

So, the GCD (488, 520, 998, 506) = 2.

Given numbers are 488, 520, 998, 506

The list of prime factors of all numbers are

Prime factors of 488 are 2 x 2 x 2 x 61

Prime factors of 520 are 2 x 2 x 2 x 5 x 13

Prime factors of 998 are 2 x 499

Prime factors of 506 are 2 x 11 x 23

The highest common occurrence is 2¹

Therefore, GCD of 488, 520, 998, 506 is 2.

Given numbers are 488, 520, 998, 506

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

Apply this formula for all numbers.

Step1:

LCM(488, 520) = 31720

GCD(488, 520) = ( 488 x 520 ) / 31720

= 488 / 520

= 488

Step2:

LCM(8, 998) = 3992

GCD(8, 998) = ( 8 x 998 ) / 3992

= 8 / 998

= 8

Step3:

LCM(2, 506) = 506

GCD(2, 506) = ( 2 x 506 ) / 506

= 2 / 506

= 2

So, Greatest Common Divisor of 488, 520, 998, 506 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 847, 674, 965, 275
• GCD of 467, 598, 539, 246
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• GCD of 896, 228, 182, 621
• GCD of 808, 405, 742, 473

Given numbers are 488, 520, 998, 506
The greatest common divisor of numbers 488, 520, 998, 506 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 488, 520, 998, 506 is 2.

1. What is the GCD of 488, 520, 998, 506?

GCD of given numbers 488, 520, 998, 506 is 2

2. How to calculate the greatest common divisor of 488, 520, 998, 506?

We can find the highest common divisor of 488, 520, 998, 506 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 488, 520, 998, 506 i.e 2.

3. How can I use the GCD of 488, 520, 998, 506Calculator?

Out the numbers 488, 520, 998, 506 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.