GCD of 494, 498, 180, 321 Calculator

Given Input numbers are 494, 498, 180, 321

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

Divisors of 494 :

The positive integer divisors of 494 that completely divides 494 are.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 498 :

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

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

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 321 :

The positive integer divisors of 321 that completely divides 321 are.

1, 3, 107, 321

GCD of numbers is the greatest common divisor

So, the GCD (494, 498, 180, 321) = 1.

Given numbers are 494, 498, 180, 321

The list of prime factors of all numbers are

Prime factors of 494 are 2 x 13 x 19

Prime factors of 498 are 2 x 3 x 83

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 321 are 3 x 107

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 494, 498, 180, 321

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

Apply this formula for all numbers.

Step1:

LCM(494, 498) = 123006

GCD(494, 498) = ( 494 x 498 ) / 123006

= 494 / 498

= 494

Step2:

LCM(2, 180) = 180

GCD(2, 180) = ( 2 x 180 ) / 180

= 2 / 180

= 2

Step3:

LCM(2, 321) = 642

GCD(2, 321) = ( 2 x 321 ) / 642

= 2 / 321

= 2

So, Greatest Common Divisor of 494, 498, 180, 321 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 872, 656, 241, 168
• GCD of 920, 864, 765, 153
• GCD of 498, 784, 351, 901
• GCD of 297, 506, 639, 965
• GCD of 779, 203, 562, 276

Given numbers are 494, 498, 180, 321
The greatest common divisor of numbers 494, 498, 180, 321 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 494, 498, 180, 321 is 1.

1. What is the GCD of 494, 498, 180, 321?

GCD of given numbers 494, 498, 180, 321 is 1

2. How to calculate the greatest common divisor of 494, 498, 180, 321?

We can find the highest common divisor of 494, 498, 180, 321 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 494, 498, 180, 321 i.e 1.

3. How can I use the GCD of 494, 498, 180, 321Calculator?

Out the numbers 494, 498, 180, 321 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.