GCD of 917, 978, 829, 290 Calculator

Given Input numbers are 917, 978, 829, 290

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 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 829

List of positive integer divisors of 829 that divides 829 without a remainder.

1, 829

Divisors of 290

List of positive integer divisors of 290 that divides 290 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290

Greatest Common Divisior

We found the divisors of 917, 978, 829, 290 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 917, 978, 829, 290 is 1.

Therefore, GCD of numbers 917, 978, 829, 290 is 1

Given Input Data is 917, 978, 829, 290

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

Prime Factorization of 917 is 7 x 131

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 829 is 829

Prime Factorization of 290 is 2 x 5 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, 978) = 896826

GCD(917, 978) = ( 917 x 978 ) / 896826

GCD(917, 978) = 896826 / 896826

GCD(917, 978) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 829

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

LCM(1, 829) = 829

GCD(1, 829) = ( 1 x 829 ) / 829

GCD(1, 829) = 829 / 829

GCD(1, 829) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 290

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

LCM(1, 290) = 290

GCD(1, 290) = ( 1 x 290 ) / 290

GCD(1, 290) = 290 / 290

GCD(1, 290) = 1

GCD of 917, 978, 829, 290 is 1

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1. What is the GCD of 917, 978, 829, 290?

GCD of 917, 978, 829, 290 is 1

2. Where do I get the detailed procedure to find GCD of 917, 978, 829, 290?

You can find a detailed procedure to find GCD of 917, 978, 829, 290 on our page.

3. How to find GCD of 917, 978, 829, 290 on a calculator?

You can find the GCD of 917, 978, 829, 290 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.