GCD of 363, 286, 121, 299 Calculator

Given Input numbers are 363, 286, 121, 299

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

Divisors of 363 :

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

1, 3, 11, 33, 121, 363

Divisors of 286 :

The positive integer divisors of 286 that completely divides 286 are.

1, 2, 11, 13, 22, 26, 143, 286

Divisors of 121 :

The positive integer divisors of 121 that completely divides 121 are.

1, 11, 121

Divisors of 299 :

The positive integer divisors of 299 that completely divides 299 are.

1, 13, 23, 299

GCD of numbers is the greatest common divisor

So, the GCD (363, 286, 121, 299) = 1.

Given numbers are 363, 286, 121, 299

The list of prime factors of all numbers are

Prime factors of 363 are 3 x 11 x 11

Prime factors of 286 are 2 x 11 x 13

Prime factors of 121 are 11 x 11

Prime factors of 299 are 13 x 23

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

Given numbers are 363, 286, 121, 299

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

Apply this formula for all numbers.

Step1:

LCM(363, 286) = 9438

GCD(363, 286) = ( 363 x 286 ) / 9438

= 363 / 286

= 363

Step2:

LCM(11, 121) = 121

GCD(11, 121) = ( 11 x 121 ) / 121

= 11 / 121

= 11

Step3:

LCM(11, 299) = 3289

GCD(11, 299) = ( 11 x 299 ) / 3289

= 11 / 299

= 11

So, Greatest Common Divisor of 363, 286, 121, 299 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 146, 297, 654, 810
• GCD of 657, 788, 441, 413
• GCD of 353, 266, 906, 405
• GCD of 253, 372, 305, 854
• GCD of 482, 739, 113, 593

Given numbers are 363, 286, 121, 299
The greatest common divisor of numbers 363, 286, 121, 299 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 363, 286, 121, 299 is 1.

1. What is the GCD of 363, 286, 121, 299?

GCD of given numbers 363, 286, 121, 299 is 1

2. How to calculate the greatest common divisor of 363, 286, 121, 299?

We can find the highest common divisor of 363, 286, 121, 299 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 363, 286, 121, 299 i.e 1.

3. How can I use the GCD of 363, 286, 121, 299Calculator?

Out the numbers 363, 286, 121, 299 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.