GCD of 630, 366, 108, 288 Calculator

Given Input numbers are 630, 366, 108, 288

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

Divisors of 630 :

The positive integer divisors of 630 that completely divides 630 are.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Divisors of 366 :

The positive integer divisors of 366 that completely divides 366 are.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

GCD of numbers is the greatest common divisor

So, the GCD (630, 366, 108, 288) = 6.

Given numbers are 630, 366, 108, 288

The list of prime factors of all numbers are

Prime factors of 630 are 2 x 3 x 3 x 5 x 7

Prime factors of 366 are 2 x 3 x 61

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 630, 366, 108, 288 is 6.

Given numbers are 630, 366, 108, 288

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

Apply this formula for all numbers.

Step1:

LCM(630, 366) = 38430

GCD(630, 366) = ( 630 x 366 ) / 38430

= 630 / 366

= 630

Step2:

LCM(6, 108) = 108

GCD(6, 108) = ( 6 x 108 ) / 108

= 6 / 108

= 6

Step3:

LCM(6, 288) = 288

GCD(6, 288) = ( 6 x 288 ) / 288

= 6 / 288

= 6

So, Greatest Common Divisor of 630, 366, 108, 288 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 417, 391, 808, 738
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• GCD of 649, 345, 291, 148
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• GCD of 873, 541, 303, 221

Given numbers are 630, 366, 108, 288
The greatest common divisor of numbers 630, 366, 108, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 630, 366, 108, 288 is 6.

1. What is the GCD of 630, 366, 108, 288?

GCD of given numbers 630, 366, 108, 288 is 6

2. How to calculate the greatest common divisor of 630, 366, 108, 288?

We can find the highest common divisor of 630, 366, 108, 288 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 630, 366, 108, 288 i.e 6.

3. How can I use the GCD of 630, 366, 108, 288Calculator?

Out the numbers 630, 366, 108, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.