GCD of 363, 132, 990, 480 Calculator

Given Input numbers are 363, 132, 990, 480

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 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

GCD of numbers is the greatest common divisor

So, the GCD (363, 132, 990, 480) = 3.

Given numbers are 363, 132, 990, 480

The list of prime factors of all numbers are

Prime factors of 363 are 3 x 11 x 11

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

The highest common occurrence is 3¹

Therefore, GCD of 363, 132, 990, 480 is 3.

Given numbers are 363, 132, 990, 480

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

Apply this formula for all numbers.

Step1:

LCM(363, 132) = 1452

GCD(363, 132) = ( 363 x 132 ) / 1452

= 363 / 132

= 363

Step2:

LCM(33, 990) = 990

GCD(33, 990) = ( 33 x 990 ) / 990

= 33 / 990

= 33

Step3:

LCM(33, 480) = 5280

GCD(33, 480) = ( 33 x 480 ) / 5280

= 33 / 480

= 33

So, Greatest Common Divisor of 363, 132, 990, 480 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 590, 294, 435, 727
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• GCD of 101, 847, 949, 932
• GCD of 950, 354, 206, 988
• GCD of 410, 829, 183, 783

Given numbers are 363, 132, 990, 480
The greatest common divisor of numbers 363, 132, 990, 480 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 363, 132, 990, 480 is 3.

1. What is the GCD of 363, 132, 990, 480?

GCD of given numbers 363, 132, 990, 480 is 3

2. How to calculate the greatest common divisor of 363, 132, 990, 480?

We can find the highest common divisor of 363, 132, 990, 480 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, 132, 990, 480 i.e 3.

3. How can I use the GCD of 363, 132, 990, 480Calculator?

Out the numbers 363, 132, 990, 480 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.