GCD of 767, 288, 917 Calculator

Given Input numbers are 767, 288, 917

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 767

List of positive integer divisors of 767 that divides 767 without a remainder.

1, 13, 59, 767

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 917

List of positive integer divisors of 917 that divides 917 without a remainder.

1, 7, 131, 917

Greatest Common Divisior

We found the divisors of 767, 288, 917 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 767, 288, 917 is 1.

Therefore, GCD of numbers 767, 288, 917 is 1

Given Input Data is 767, 288, 917

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 767 is 13 x 59

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 917 is 7 x 131

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(767, 288) = 220896

GCD(767, 288) = ( 767 x 288 ) / 220896

GCD(767, 288) = 220896 / 220896

GCD(767, 288) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 917

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

LCM(1, 917) = 917

GCD(1, 917) = ( 1 x 917 ) / 917

GCD(1, 917) = 917 / 917

GCD(1, 917) = 1

GCD of 767, 288, 917 is 1

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1. What is the GCD of 767, 288, 917?

GCD of 767, 288, 917 is 1

2. Where do I get the detailed procedure to find GCD of 767, 288, 917?

You can find a detailed procedure to find GCD of 767, 288, 917 on our page.

3. How to find GCD of 767, 288, 917 on a calculator?

You can find the GCD of 767, 288, 917 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.