GCD of 363, 231, 882, 303 Calculator

Given Input numbers are 363, 231, 882, 303

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 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 303 :

The positive integer divisors of 303 that completely divides 303 are.

1, 3, 101, 303

GCD of numbers is the greatest common divisor

So, the GCD (363, 231, 882, 303) = 3.

Given numbers are 363, 231, 882, 303

The list of prime factors of all numbers are

Prime factors of 363 are 3 x 11 x 11

Prime factors of 231 are 3 x 7 x 11

Prime factors of 882 are 2 x 3 x 3 x 7 x 7

Prime factors of 303 are 3 x 101

The highest common occurrence is 3¹

Therefore, GCD of 363, 231, 882, 303 is 3.

Given numbers are 363, 231, 882, 303

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

Apply this formula for all numbers.

Step1:

LCM(363, 231) = 2541

GCD(363, 231) = ( 363 x 231 ) / 2541

= 363 / 231

= 363

Step2:

LCM(33, 882) = 9702

GCD(33, 882) = ( 33 x 882 ) / 9702

= 33 / 882

= 33

Step3:

LCM(3, 303) = 303

GCD(3, 303) = ( 3 x 303 ) / 303

= 3 / 303

= 3

So, Greatest Common Divisor of 363, 231, 882, 303 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 618, 690, 629, 703
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Given numbers are 363, 231, 882, 303
The greatest common divisor of numbers 363, 231, 882, 303 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 363, 231, 882, 303 is 3.

1. What is the GCD of 363, 231, 882, 303?

GCD of given numbers 363, 231, 882, 303 is 3

2. How to calculate the greatest common divisor of 363, 231, 882, 303?

We can find the highest common divisor of 363, 231, 882, 303 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, 231, 882, 303 i.e 3.

3. How can I use the GCD of 363, 231, 882, 303Calculator?

Out the numbers 363, 231, 882, 303 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.