GCD of 270, 717, 297, 798 Calculator

Given Input numbers are 270, 717, 297, 798

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

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 717 :

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

1, 3, 239, 717

Divisors of 297 :

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

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

Divisors of 798 :

The positive integer divisors of 798 that completely divides 798 are.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

GCD of numbers is the greatest common divisor

So, the GCD (270, 717, 297, 798) = 3.

Given numbers are 270, 717, 297, 798

The list of prime factors of all numbers are

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 717 are 3 x 239

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

Prime factors of 798 are 2 x 3 x 7 x 19

The highest common occurrence is 3¹

Therefore, GCD of 270, 717, 297, 798 is 3.

Given numbers are 270, 717, 297, 798

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

Apply this formula for all numbers.

Step1:

LCM(270, 717) = 64530

GCD(270, 717) = ( 270 x 717 ) / 64530

= 270 / 717

= 270

Step2:

LCM(3, 297) = 297

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

= 3 / 297

= 3

Step3:

LCM(3, 798) = 798

GCD(3, 798) = ( 3 x 798 ) / 798

= 3 / 798

= 3

So, Greatest Common Divisor of 270, 717, 297, 798 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 803, 138, 632, 409
• GCD of 823, 194, 621, 840
• GCD of 138, 932, 986, 449
• GCD of 247, 502, 820, 103
• GCD of 139, 717, 512, 237

Given numbers are 270, 717, 297, 798
The greatest common divisor of numbers 270, 717, 297, 798 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 717, 297, 798 is 3.

1. What is the GCD of 270, 717, 297, 798?

GCD of given numbers 270, 717, 297, 798 is 3

2. How to calculate the greatest common divisor of 270, 717, 297, 798?

We can find the highest common divisor of 270, 717, 297, 798 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 270, 717, 297, 798 i.e 3.

3. How can I use the GCD of 270, 717, 297, 798Calculator?

Out the numbers 270, 717, 297, 798 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.