GCD of 289, 396, 180, 307 Calculator

Given Input numbers are 289, 396, 180, 307

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

Divisors of 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289

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 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 307 :

The positive integer divisors of 307 that completely divides 307 are.

1, 307

GCD of numbers is the greatest common divisor

So, the GCD (289, 396, 180, 307) = 1.

Given numbers are 289, 396, 180, 307

The list of prime factors of all numbers are

Prime factors of 289 are 17 x 17

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

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

Prime factors of 307 are 307

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

Given numbers are 289, 396, 180, 307

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

Apply this formula for all numbers.

Step1:

LCM(289, 396) = 114444

GCD(289, 396) = ( 289 x 396 ) / 114444

= 289 / 396

= 289

Step2:

LCM(1, 180) = 180

GCD(1, 180) = ( 1 x 180 ) / 180

= 1 / 180

= 1

Step3:

LCM(1, 307) = 307

GCD(1, 307) = ( 1 x 307 ) / 307

= 1 / 307

= 1

So, Greatest Common Divisor of 289, 396, 180, 307 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 657, 563, 362, 585
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• GCD of 860, 715, 769, 217
• GCD of 973, 508, 255, 411
• GCD of 339, 441, 199, 379

Given numbers are 289, 396, 180, 307
The greatest common divisor of numbers 289, 396, 180, 307 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 289, 396, 180, 307 is 1.

1. What is the GCD of 289, 396, 180, 307?

GCD of given numbers 289, 396, 180, 307 is 1

2. How to calculate the greatest common divisor of 289, 396, 180, 307?

We can find the highest common divisor of 289, 396, 180, 307 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 289, 396, 180, 307 i.e 1.

3. How can I use the GCD of 289, 396, 180, 307Calculator?

Out the numbers 289, 396, 180, 307 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.