GCD of 180, 396, 731, 249 Calculator

Given Input numbers are 180, 396, 731, 249

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 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 731 :

The positive integer divisors of 731 that completely divides 731 are.

1, 17, 43, 731

Divisors of 249 :

The positive integer divisors of 249 that completely divides 249 are.

1, 3, 83, 249

GCD of numbers is the greatest common divisor

So, the GCD (180, 396, 731, 249) = 1.

Given numbers are 180, 396, 731, 249

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 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 731 are 17 x 43

Prime factors of 249 are 3 x 83

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

Given numbers are 180, 396, 731, 249

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

Apply this formula for all numbers.

Step1:

LCM(180, 396) = 1980

GCD(180, 396) = ( 180 x 396 ) / 1980

= 180 / 396

= 180

Step2:

LCM(36, 731) = 26316

GCD(36, 731) = ( 36 x 731 ) / 26316

= 36 / 731

= 36

Step3:

LCM(1, 249) = 249

GCD(1, 249) = ( 1 x 249 ) / 249

= 1 / 249

= 1

So, Greatest Common Divisor of 180, 396, 731, 249 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 225, 300, 974, 912
• GCD of 902, 860, 174, 410
• GCD of 888, 771, 732, 645
• GCD of 551, 197, 595, 170
• GCD of 350, 890, 150, 116

Given numbers are 180, 396, 731, 249
The greatest common divisor of numbers 180, 396, 731, 249 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 396, 731, 249 is 1.

1. What is the GCD of 180, 396, 731, 249?

GCD of given numbers 180, 396, 731, 249 is 1

2. How to calculate the greatest common divisor of 180, 396, 731, 249?

We can find the highest common divisor of 180, 396, 731, 249 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, 396, 731, 249 i.e 1.

3. How can I use the GCD of 180, 396, 731, 249Calculator?

Out the numbers 180, 396, 731, 249 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.