GCD of 717, 972, 750, 390 Calculator

Given Input numbers are 717, 972, 750, 390

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 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 750 :

The positive integer divisors of 750 that completely divides 750 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

GCD of numbers is the greatest common divisor

So, the GCD (717, 972, 750, 390) = 3.

Given numbers are 717, 972, 750, 390

The list of prime factors of all numbers are

Prime factors of 717 are 3 x 239

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 750 are 2 x 3 x 5 x 5 x 5

Prime factors of 390 are 2 x 3 x 5 x 13

The highest common occurrence is 3¹

Therefore, GCD of 717, 972, 750, 390 is 3.

Given numbers are 717, 972, 750, 390

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

Apply this formula for all numbers.

Step1:

LCM(717, 972) = 232308

GCD(717, 972) = ( 717 x 972 ) / 232308

= 717 / 972

= 717

Step2:

LCM(3, 750) = 750

GCD(3, 750) = ( 3 x 750 ) / 750

= 3 / 750

= 3

Step3:

LCM(3, 390) = 390

GCD(3, 390) = ( 3 x 390 ) / 390

= 3 / 390

= 3

So, Greatest Common Divisor of 717, 972, 750, 390 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 605, 972, 528, 239
• GCD of 400, 213, 578, 533
• GCD of 847, 915, 535, 676
• GCD of 743, 194, 635, 505
• GCD of 219, 323, 229, 620

Given numbers are 717, 972, 750, 390
The greatest common divisor of numbers 717, 972, 750, 390 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 717, 972, 750, 390 is 3.

1. What is the GCD of 717, 972, 750, 390?

GCD of given numbers 717, 972, 750, 390 is 3

2. How to calculate the greatest common divisor of 717, 972, 750, 390?

We can find the highest common divisor of 717, 972, 750, 390 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, 972, 750, 390 i.e 3.

3. How can I use the GCD of 717, 972, 750, 390Calculator?

Out the numbers 717, 972, 750, 390 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.