GCD of 360, 165, 318, 297 Calculator

Given Input numbers are 360, 165, 318, 297

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 165 :

The positive integer divisors of 165 that completely divides 165 are.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 297 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (360, 165, 318, 297) = 3.

Given numbers are 360, 165, 318, 297

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 165 are 3 x 5 x 11

Prime factors of 318 are 2 x 3 x 53

Prime factors of 297 are 3 x 3 x 3 x 11

The highest common occurrence is 3¹

Therefore, GCD of 360, 165, 318, 297 is 3.

Given numbers are 360, 165, 318, 297

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

Apply this formula for all numbers.

Step1:

LCM(360, 165) = 3960

GCD(360, 165) = ( 360 x 165 ) / 3960

= 360 / 165

= 360

Step2:

LCM(15, 318) = 1590

GCD(15, 318) = ( 15 x 318 ) / 1590

= 15 / 318

= 15

Step3:

LCM(3, 297) = 297

GCD(3, 297) = ( 3 x 297 ) / 297

= 3 / 297

= 3

So, Greatest Common Divisor of 360, 165, 318, 297 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 234, 462, 780, 466
• GCD of 239, 855, 497, 460
• GCD of 542, 821, 807, 397
• GCD of 124, 654, 705, 534
• GCD of 560, 751, 606, 222

Given numbers are 360, 165, 318, 297
The greatest common divisor of numbers 360, 165, 318, 297 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 165, 318, 297 is 3.

1. What is the GCD of 360, 165, 318, 297?

GCD of given numbers 360, 165, 318, 297 is 3

2. How to calculate the greatest common divisor of 360, 165, 318, 297?

We can find the highest common divisor of 360, 165, 318, 297 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, 165, 318, 297 i.e 3.

3. How can I use the GCD of 360, 165, 318, 297Calculator?

Out the numbers 360, 165, 318, 297 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.