GCD of 315, 660, 708, 288 Calculator

Given Input numbers are 315, 660, 708, 288

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

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

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 (315, 660, 708, 288) = 3.

Given numbers are 315, 660, 708, 288

The list of prime factors of all numbers are

Prime factors of 315 are 3 x 3 x 5 x 7

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

Prime factors of 708 are 2 x 2 x 3 x 59

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 315, 660, 708, 288 is 3.

Given numbers are 315, 660, 708, 288

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

Apply this formula for all numbers.

Step1:

LCM(315, 660) = 13860

GCD(315, 660) = ( 315 x 660 ) / 13860

= 315 / 660

= 315

Step2:

LCM(15, 708) = 3540

GCD(15, 708) = ( 15 x 708 ) / 3540

= 15 / 708

= 15

Step3:

LCM(3, 288) = 288

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

= 3 / 288

= 3

So, Greatest Common Divisor of 315, 660, 708, 288 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 720, 343, 186, 529
• GCD of 323, 310, 903, 716
• GCD of 220, 471, 796, 358
• GCD of 817, 194, 636, 797
• GCD of 380, 700, 449, 977

Given numbers are 315, 660, 708, 288
The greatest common divisor of numbers 315, 660, 708, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 315, 660, 708, 288 is 3.

1. What is the GCD of 315, 660, 708, 288?

GCD of given numbers 315, 660, 708, 288 is 3

2. How to calculate the greatest common divisor of 315, 660, 708, 288?

We can find the highest common divisor of 315, 660, 708, 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 315, 660, 708, 288 i.e 3.

3. How can I use the GCD of 315, 660, 708, 288Calculator?

Out the numbers 315, 660, 708, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.