GCD of 576, 498, 364, 242 Calculator

Given Input numbers are 576, 498, 364, 242

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

Divisors of 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 498 :

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

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

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242

GCD of numbers is the greatest common divisor

So, the GCD (576, 498, 364, 242) = 2.

Given numbers are 576, 498, 364, 242

The list of prime factors of all numbers are

Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 498 are 2 x 3 x 83

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 242 are 2 x 11 x 11

The highest common occurrence is 2¹

Therefore, GCD of 576, 498, 364, 242 is 2.

Given numbers are 576, 498, 364, 242

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

Apply this formula for all numbers.

Step1:

LCM(576, 498) = 47808

GCD(576, 498) = ( 576 x 498 ) / 47808

= 576 / 498

= 576

Step2:

LCM(6, 364) = 1092

GCD(6, 364) = ( 6 x 364 ) / 1092

= 6 / 364

= 6

Step3:

LCM(2, 242) = 242

GCD(2, 242) = ( 2 x 242 ) / 242

= 2 / 242

= 2

So, Greatest Common Divisor of 576, 498, 364, 242 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 482, 815, 512, 746
• GCD of 665, 950, 406, 569
• GCD of 670, 479, 977, 983
• GCD of 589, 253, 207, 558
• GCD of 155, 462, 962, 395

Given numbers are 576, 498, 364, 242
The greatest common divisor of numbers 576, 498, 364, 242 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 576, 498, 364, 242 is 2.

1. What is the GCD of 576, 498, 364, 242?

GCD of given numbers 576, 498, 364, 242 is 2

2. How to calculate the greatest common divisor of 576, 498, 364, 242?

We can find the highest common divisor of 576, 498, 364, 242 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 576, 498, 364, 242 i.e 2.

3. How can I use the GCD of 576, 498, 364, 242Calculator?

Out the numbers 576, 498, 364, 242 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.