GCD of 360, 297, 282, 249 Calculator

Given Input numbers are 360, 297, 282, 249

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 297 :

The positive integer divisors of 297 that completely divides 297 are.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 282 :

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

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

Divisors of 249 :

The positive integer divisors of 249 that completely divides 249 are.

1, 3, 83, 249

GCD of numbers is the greatest common divisor

So, the GCD (360, 297, 282, 249) = 3.

Given numbers are 360, 297, 282, 249

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 297 are 3 x 3 x 3 x 11

Prime factors of 282 are 2 x 3 x 47

Prime factors of 249 are 3 x 83

The highest common occurrence is 3¹

Therefore, GCD of 360, 297, 282, 249 is 3.

Given numbers are 360, 297, 282, 249

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

Apply this formula for all numbers.

Step1:

LCM(360, 297) = 11880

GCD(360, 297) = ( 360 x 297 ) / 11880

= 360 / 297

= 360

Step2:

LCM(9, 282) = 846

GCD(9, 282) = ( 9 x 282 ) / 846

= 9 / 282

= 9

Step3:

LCM(3, 249) = 249

GCD(3, 249) = ( 3 x 249 ) / 249

= 3 / 249

= 3

So, Greatest Common Divisor of 360, 297, 282, 249 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 640, 247, 349, 128
• GCD of 246, 787, 866, 425
• GCD of 221, 216, 239, 204
• GCD of 449, 185, 158, 144
• GCD of 312, 609, 296, 952

Given numbers are 360, 297, 282, 249
The greatest common divisor of numbers 360, 297, 282, 249 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 297, 282, 249 is 3.

1. What is the GCD of 360, 297, 282, 249?

GCD of given numbers 360, 297, 282, 249 is 3

2. How to calculate the greatest common divisor of 360, 297, 282, 249?

We can find the highest common divisor of 360, 297, 282, 249 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, 297, 282, 249 i.e 3.

3. How can I use the GCD of 360, 297, 282, 249Calculator?

Out the numbers 360, 297, 282, 249 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.