GCD of 917, 560, 665, 667 Calculator

Given Input numbers are 917, 560, 665, 667

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

Divisors of 917

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

1, 7, 131, 917

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 665

List of positive integer divisors of 665 that divides 665 without a remainder.

1, 5, 7, 19, 35, 95, 133, 665

Divisors of 667

List of positive integer divisors of 667 that divides 667 without a remainder.

1, 23, 29, 667

Greatest Common Divisior

We found the divisors of 917, 560, 665, 667 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 917, 560, 665, 667 is 1.

Therefore, GCD of numbers 917, 560, 665, 667 is 1

Given Input Data is 917, 560, 665, 667

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

Prime Factorization of 917 is 7 x 131

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

Prime Factorization of 665 is 5 x 7 x 19

Prime Factorization of 667 is 23 x 29

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(917, 560) = 73360

GCD(917, 560) = ( 917 x 560 ) / 73360

GCD(917, 560) = 513520 / 73360

GCD(917, 560) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 665

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

LCM(7, 665) = 665

GCD(7, 665) = ( 7 x 665 ) / 665

GCD(7, 665) = 4655 / 665

GCD(7, 665) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 667

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

LCM(7, 667) = 4669

GCD(7, 667) = ( 7 x 667 ) / 4669

GCD(7, 667) = 4669 / 4669

GCD(7, 667) = 1

GCD of 917, 560, 665, 667 is 1

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1. What is the GCD of 917, 560, 665, 667?

GCD of 917, 560, 665, 667 is 1

2. Where do I get the detailed procedure to find GCD of 917, 560, 665, 667?

You can find a detailed procedure to find GCD of 917, 560, 665, 667 on our page.

3. How to find GCD of 917, 560, 665, 667 on a calculator?

You can find the GCD of 917, 560, 665, 667 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.