GCD of 498, 530, 330, 506 Calculator

Given Input numbers are 498, 530, 330, 506

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

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 530 :

The positive integer divisors of 530 that completely divides 530 are.

1, 2, 5, 10, 53, 106, 265, 530

Divisors of 330 :

The positive integer divisors of 330 that completely divides 330 are.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

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 (498, 530, 330, 506) = 2.

Given numbers are 498, 530, 330, 506

The list of prime factors of all numbers are

Prime factors of 498 are 2 x 3 x 83

Prime factors of 530 are 2 x 5 x 53

Prime factors of 330 are 2 x 3 x 5 x 11

Prime factors of 506 are 2 x 11 x 23

The highest common occurrence is 2¹

Therefore, GCD of 498, 530, 330, 506 is 2.

Given numbers are 498, 530, 330, 506

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

Apply this formula for all numbers.

Step1:

LCM(498, 530) = 131970

GCD(498, 530) = ( 498 x 530 ) / 131970

= 498 / 530

= 498

Step2:

LCM(2, 330) = 330

GCD(2, 330) = ( 2 x 330 ) / 330

= 2 / 330

= 2

Step3:

LCM(2, 506) = 506

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

= 2 / 506

= 2

So, Greatest Common Divisor of 498, 530, 330, 506 is 2

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Given numbers are 498, 530, 330, 506
The greatest common divisor of numbers 498, 530, 330, 506 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 498, 530, 330, 506 is 2.

1. What is the GCD of 498, 530, 330, 506?

GCD of given numbers 498, 530, 330, 506 is 2

2. How to calculate the greatest common divisor of 498, 530, 330, 506?

We can find the highest common divisor of 498, 530, 330, 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 498, 530, 330, 506 i.e 2.

3. How can I use the GCD of 498, 530, 330, 506Calculator?

Out the numbers 498, 530, 330, 506 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.