GCD of 289, 412, 363, 361 Calculator

Given Input numbers are 289, 412, 363, 361

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 412 :

The positive integer divisors of 412 that completely divides 412 are.

1, 2, 4, 103, 206, 412

Divisors of 363 :

The positive integer divisors of 363 that completely divides 363 are.

1, 3, 11, 33, 121, 363

Divisors of 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

GCD of numbers is the greatest common divisor

So, the GCD (289, 412, 363, 361) = 1.

Given numbers are 289, 412, 363, 361

The list of prime factors of all numbers are

Prime factors of 289 are 17 x 17

Prime factors of 412 are 2 x 2 x 103

Prime factors of 363 are 3 x 11 x 11

Prime factors of 361 are 19 x 19

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

Given numbers are 289, 412, 363, 361

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

Apply this formula for all numbers.

Step1:

LCM(289, 412) = 119068

GCD(289, 412) = ( 289 x 412 ) / 119068

= 289 / 412

= 289

Step2:

LCM(1, 363) = 363

GCD(1, 363) = ( 1 x 363 ) / 363

= 1 / 363

= 1

Step3:

LCM(1, 361) = 361

GCD(1, 361) = ( 1 x 361 ) / 361

= 1 / 361

= 1

So, Greatest Common Divisor of 289, 412, 363, 361 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 580, 472, 253, 238
• GCD of 302, 928, 445, 515
• GCD of 367, 588, 821, 895
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• GCD of 848, 126, 776, 703

Given numbers are 289, 412, 363, 361
The greatest common divisor of numbers 289, 412, 363, 361 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 289, 412, 363, 361 is 1.

1. What is the GCD of 289, 412, 363, 361?

GCD of given numbers 289, 412, 363, 361 is 1

2. How to calculate the greatest common divisor of 289, 412, 363, 361?

We can find the highest common divisor of 289, 412, 363, 361 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, 412, 363, 361 i.e 1.

3. How can I use the GCD of 289, 412, 363, 361Calculator?

Out the numbers 289, 412, 363, 361 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.