GCD of 498, 812, 566, 660 Calculator

Given Input numbers are 498, 812, 566, 660

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 812 :

The positive integer divisors of 812 that completely divides 812 are.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Divisors of 566 :

The positive integer divisors of 566 that completely divides 566 are.

1, 2, 283, 566

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

GCD of numbers is the greatest common divisor

So, the GCD (498, 812, 566, 660) = 2.

Given numbers are 498, 812, 566, 660

The list of prime factors of all numbers are

Prime factors of 498 are 2 x 3 x 83

Prime factors of 812 are 2 x 2 x 7 x 29

Prime factors of 566 are 2 x 283

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

The highest common occurrence is 2¹

Therefore, GCD of 498, 812, 566, 660 is 2.

Given numbers are 498, 812, 566, 660

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

Apply this formula for all numbers.

Step1:

LCM(498, 812) = 202188

GCD(498, 812) = ( 498 x 812 ) / 202188

= 498 / 812

= 498

Step2:

LCM(2, 566) = 566

GCD(2, 566) = ( 2 x 566 ) / 566

= 2 / 566

= 2

Step3:

LCM(2, 660) = 660

GCD(2, 660) = ( 2 x 660 ) / 660

= 2 / 660

= 2

So, Greatest Common Divisor of 498, 812, 566, 660 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 952, 550, 621, 705
• GCD of 575, 676, 168, 918
• GCD of 236, 351, 196, 656
• GCD of 693, 180, 663, 935
• GCD of 910, 819, 433, 852

Given numbers are 498, 812, 566, 660
The greatest common divisor of numbers 498, 812, 566, 660 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 498, 812, 566, 660 is 2.

1. What is the GCD of 498, 812, 566, 660?

GCD of given numbers 498, 812, 566, 660 is 2

2. How to calculate the greatest common divisor of 498, 812, 566, 660?

We can find the highest common divisor of 498, 812, 566, 660 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, 812, 566, 660 i.e 2.

3. How can I use the GCD of 498, 812, 566, 660Calculator?

Out the numbers 498, 812, 566, 660 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.