GCD of 846, 424, 565, 717 Calculator

Given Input numbers are 846, 424, 565, 717

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

Divisors of 846

List of positive integer divisors of 846 that divides 846 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Divisors of 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 565

List of positive integer divisors of 565 that divides 565 without a remainder.

1, 5, 113, 565

Divisors of 717

List of positive integer divisors of 717 that divides 717 without a remainder.

1, 3, 239, 717

Greatest Common Divisior

We found the divisors of 846, 424, 565, 717 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 846, 424, 565, 717 is 1.

Therefore, GCD of numbers 846, 424, 565, 717 is 1

Given Input Data is 846, 424, 565, 717

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

Prime Factorization of 846 is 2 x 3 x 3 x 47

Prime Factorization of 424 is 2 x 2 x 2 x 53

Prime Factorization of 565 is 5 x 113

Prime Factorization of 717 is 3 x 239

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(846, 424) = 179352

GCD(846, 424) = ( 846 x 424 ) / 179352

GCD(846, 424) = 358704 / 179352

GCD(846, 424) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 565

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

LCM(2, 565) = 1130

GCD(2, 565) = ( 2 x 565 ) / 1130

GCD(2, 565) = 1130 / 1130

GCD(2, 565) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 717

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

LCM(1, 717) = 717

GCD(1, 717) = ( 1 x 717 ) / 717

GCD(1, 717) = 717 / 717

GCD(1, 717) = 1

GCD of 846, 424, 565, 717 is 1

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1. What is the GCD of 846, 424, 565, 717?

GCD of 846, 424, 565, 717 is 1

2. Where do I get the detailed procedure to find GCD of 846, 424, 565, 717?

You can find a detailed procedure to find GCD of 846, 424, 565, 717 on our page.

3. How to find GCD of 846, 424, 565, 717 on a calculator?

You can find the GCD of 846, 424, 565, 717 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.