GCD of 360, 282, 633, 288 Calculator

Given Input numbers are 360, 282, 633, 288

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

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 282 :

The positive integer divisors of 282 that completely divides 282 are.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 633 :

The positive integer divisors of 633 that completely divides 633 are.

1, 3, 211, 633

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 (360, 282, 633, 288) = 3.

Given numbers are 360, 282, 633, 288

The list of prime factors of all numbers are

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 282 are 2 x 3 x 47

Prime factors of 633 are 3 x 211

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

The highest common occurrence is 3¹

Therefore, GCD of 360, 282, 633, 288 is 3.

Given numbers are 360, 282, 633, 288

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

Apply this formula for all numbers.

Step1:

LCM(360, 282) = 16920

GCD(360, 282) = ( 360 x 282 ) / 16920

= 360 / 282

= 360

Step2:

LCM(6, 633) = 1266

GCD(6, 633) = ( 6 x 633 ) / 1266

= 6 / 633

= 6

Step3:

LCM(3, 288) = 288

GCD(3, 288) = ( 3 x 288 ) / 288

= 3 / 288

= 3

So, Greatest Common Divisor of 360, 282, 633, 288 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 797, 581, 510, 714
• GCD of 366, 428, 381, 277
• GCD of 422, 129, 489, 703
• GCD of 109, 362, 297, 132
• GCD of 588, 443, 113, 577

Given numbers are 360, 282, 633, 288
The greatest common divisor of numbers 360, 282, 633, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 282, 633, 288 is 3.

1. What is the GCD of 360, 282, 633, 288?

GCD of given numbers 360, 282, 633, 288 is 3

2. How to calculate the greatest common divisor of 360, 282, 633, 288?

We can find the highest common divisor of 360, 282, 633, 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 360, 282, 633, 288 i.e 3.

3. How can I use the GCD of 360, 282, 633, 288Calculator?

Out the numbers 360, 282, 633, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.