GCD of 712, 108, 17, 918 Calculator

Given Input numbers are 712, 108, 17, 918

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

Divisors of 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 17 :

The positive integer divisors of 17 that completely divides 17 are.

1, 17

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

GCD of numbers is the greatest common divisor

So, the GCD (712, 108, 17, 918) = 1.

Given numbers are 712, 108, 17, 918

The list of prime factors of all numbers are

Prime factors of 712 are 2 x 2 x 2 x 89

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 17 are 17

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

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

Given numbers are 712, 108, 17, 918

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

Apply this formula for all numbers.

Step1:

LCM(712, 108) = 19224

GCD(712, 108) = ( 712 x 108 ) / 19224

= 712 / 108

= 712

Step2:

LCM(4, 17) = 68

GCD(4, 17) = ( 4 x 17 ) / 68

= 4 / 17

= 4

Step3:

LCM(1, 918) = 918

GCD(1, 918) = ( 1 x 918 ) / 918

= 1 / 918

= 1

So, Greatest Common Divisor of 712, 108, 17, 918 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 913, 421, 27, 211
• GCD of 710, 870, 35, 329
• GCD of 234, 819, 70, 322
• GCD of 259, 255, 25, 769
• GCD of 919, 649, 20, 448

Given numbers are 712, 108, 17, 918
The greatest common divisor of numbers 712, 108, 17, 918 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 712, 108, 17, 918 is 1.

1. What is the GCD of 712, 108, 17, 918?

GCD of given numbers 712, 108, 17, 918 is 1

2. How to calculate the greatest common divisor of 712, 108, 17, 918?

We can find the highest common divisor of 712, 108, 17, 918 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 712, 108, 17, 918 i.e 1.

3. How can I use the GCD of 712, 108, 17, 918Calculator?

Out the numbers 712, 108, 17, 918 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.