GCD of 717, 312, 15, 168 Calculator

Given Input numbers are 717, 312, 15, 168

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

Divisors of 717 :

The positive integer divisors of 717 that completely divides 717 are.

1, 3, 239, 717

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 15 :

The positive integer divisors of 15 that completely divides 15 are.

1, 3, 5, 15

Divisors of 168 :

The positive integer divisors of 168 that completely divides 168 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

GCD of numbers is the greatest common divisor

So, the GCD (717, 312, 15, 168) = 3.

Given numbers are 717, 312, 15, 168

The list of prime factors of all numbers are

Prime factors of 717 are 3 x 239

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 15 are 3 x 5

Prime factors of 168 are 2 x 2 x 2 x 3 x 7

The highest common occurrence is 3¹

Therefore, GCD of 717, 312, 15, 168 is 3.

Given numbers are 717, 312, 15, 168

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

Apply this formula for all numbers.

Step1:

LCM(717, 312) = 74568

GCD(717, 312) = ( 717 x 312 ) / 74568

= 717 / 312

= 717

Step2:

LCM(3, 15) = 15

GCD(3, 15) = ( 3 x 15 ) / 15

= 3 / 15

= 3

Step3:

LCM(3, 168) = 168

GCD(3, 168) = ( 3 x 168 ) / 168

= 3 / 168

= 3

So, Greatest Common Divisor of 717, 312, 15, 168 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 728, 198, 70, 769
• GCD of 292, 259, 69, 261
• GCD of 219, 894, 54, 356
• GCD of 712, 183, 43, 790
• GCD of 447, 733, 45, 932

Given numbers are 717, 312, 15, 168
The greatest common divisor of numbers 717, 312, 15, 168 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 717, 312, 15, 168 is 3.

1. What is the GCD of 717, 312, 15, 168?

GCD of given numbers 717, 312, 15, 168 is 3

2. How to calculate the greatest common divisor of 717, 312, 15, 168?

We can find the highest common divisor of 717, 312, 15, 168 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 717, 312, 15, 168 i.e 3.

3. How can I use the GCD of 717, 312, 15, 168Calculator?

Out the numbers 717, 312, 15, 168 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.