GCD of 917, 768, 689 Calculator

Given Input numbers are 917, 768, 689

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

Divisors of 917 :

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

1, 7, 131, 917

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

GCD of numbers is the greatest common divisor

So, the GCD (917, 768, 689) = 1.

Given numbers are 917, 768, 689

The list of prime factors of all numbers are

Prime factors of 917 are 7 x 131

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 689 are 13 x 53

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

Given numbers are 917, 768, 689

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

Apply this formula for all numbers.

Step1:

LCM(917, 768) = 704256

GCD(917, 768) = ( 917 x 768 ) / 704256

= 917 / 768

= 917

Step2:

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

= 1 / 689

= 1

So, Greatest Common Divisor of 917, 768, 689 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 434, 849, 709
• GCD of 992, 137, 857
• GCD of 278, 324, 133
• GCD of 270, 897, 916
• GCD of 645, 589, 115

Given numbers are 917, 768, 689
The greatest common divisor of numbers 917, 768, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 917, 768, 689 is 1.

1. What is the GCD of 917, 768, 689?

GCD of given numbers 917, 768, 689 is 1

2. How to calculate the greatest common divisor of 917, 768, 689?

We can find the highest common divisor of 917, 768, 689 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 917, 768, 689 i.e 1.

3. How can I use the GCD of 917, 768, 689Calculator?

Out the numbers 917, 768, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.