GCD of 180, 404, 994, 498 Calculator

Given Input numbers are 180, 404, 994, 498

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

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 404 :

The positive integer divisors of 404 that completely divides 404 are.

1, 2, 4, 101, 202, 404

Divisors of 994 :

The positive integer divisors of 994 that completely divides 994 are.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 498 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (180, 404, 994, 498) = 2.

Given numbers are 180, 404, 994, 498

The list of prime factors of all numbers are

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

Prime factors of 404 are 2 x 2 x 101

Prime factors of 994 are 2 x 7 x 71

Prime factors of 498 are 2 x 3 x 83

The highest common occurrence is 2¹

Therefore, GCD of 180, 404, 994, 498 is 2.

Given numbers are 180, 404, 994, 498

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

Apply this formula for all numbers.

Step1:

LCM(180, 404) = 18180

GCD(180, 404) = ( 180 x 404 ) / 18180

= 180 / 404

= 180

Step2:

LCM(4, 994) = 1988

GCD(4, 994) = ( 4 x 994 ) / 1988

= 4 / 994

= 4

Step3:

LCM(2, 498) = 498

GCD(2, 498) = ( 2 x 498 ) / 498

= 2 / 498

= 2

So, Greatest Common Divisor of 180, 404, 994, 498 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 107, 181, 710, 504
• GCD of 792, 479, 168, 784
• GCD of 659, 998, 733, 976
• GCD of 591, 590, 914, 835
• GCD of 214, 123, 471, 843

Given numbers are 180, 404, 994, 498
The greatest common divisor of numbers 180, 404, 994, 498 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 404, 994, 498 is 2.

1. What is the GCD of 180, 404, 994, 498?

GCD of given numbers 180, 404, 994, 498 is 2

2. How to calculate the greatest common divisor of 180, 404, 994, 498?

We can find the highest common divisor of 180, 404, 994, 498 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 180, 404, 994, 498 i.e 2.

3. How can I use the GCD of 180, 404, 994, 498Calculator?

Out the numbers 180, 404, 994, 498 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.