GCD of 217, 917, 216, 729 Calculator

Given Input numbers are 217, 917, 216, 729

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

Divisors of 217 :

The positive integer divisors of 217 that completely divides 217 are.

1, 7, 31, 217

Divisors of 917 :

The positive integer divisors of 917 that completely divides 917 are.

1, 7, 131, 917

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 729 :

The positive integer divisors of 729 that completely divides 729 are.

1, 3, 9, 27, 81, 243, 729

GCD of numbers is the greatest common divisor

So, the GCD (217, 917, 216, 729) = 1.

Given numbers are 217, 917, 216, 729

The list of prime factors of all numbers are

Prime factors of 217 are 7 x 31

Prime factors of 917 are 7 x 131

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 217, 917, 216, 729

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

Apply this formula for all numbers.

Step1:

LCM(217, 917) = 28427

GCD(217, 917) = ( 217 x 917 ) / 28427

= 217 / 917

= 217

Step2:

LCM(7, 216) = 1512

GCD(7, 216) = ( 7 x 216 ) / 1512

= 7 / 216

= 7

Step3:

LCM(1, 729) = 729

GCD(1, 729) = ( 1 x 729 ) / 729

= 1 / 729

= 1

So, Greatest Common Divisor of 217, 917, 216, 729 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 416, 498, 114, 999
• GCD of 550, 941, 606, 730
• GCD of 184, 356, 182, 880
• GCD of 647, 185, 937, 934
• GCD of 612, 741, 861, 635

Given numbers are 217, 917, 216, 729
The greatest common divisor of numbers 217, 917, 216, 729 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 217, 917, 216, 729 is 1.

1. What is the GCD of 217, 917, 216, 729?

GCD of given numbers 217, 917, 216, 729 is 1

2. How to calculate the greatest common divisor of 217, 917, 216, 729?

We can find the highest common divisor of 217, 917, 216, 729 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 217, 917, 216, 729 i.e 1.

3. How can I use the GCD of 217, 917, 216, 729Calculator?

Out the numbers 217, 917, 216, 729 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.