GCD of 848, 713, 414, 585 Calculator

Given Input numbers are 848, 713, 414, 585

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

Divisors of 848

List of positive integer divisors of 848 that divides 848 without a remainder.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Divisors of 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Greatest Common Divisior

We found the divisors of 848, 713, 414, 585 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 848, 713, 414, 585 is 1.

Therefore, GCD of numbers 848, 713, 414, 585 is 1

Given Input Data is 848, 713, 414, 585

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

Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53

Prime Factorization of 713 is 23 x 31

Prime Factorization of 414 is 2 x 3 x 3 x 23

Prime Factorization of 585 is 3 x 3 x 5 x 13

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(848, 713) = 604624

GCD(848, 713) = ( 848 x 713 ) / 604624

GCD(848, 713) = 604624 / 604624

GCD(848, 713) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 414

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

LCM(1, 414) = 414

GCD(1, 414) = ( 1 x 414 ) / 414

GCD(1, 414) = 414 / 414

GCD(1, 414) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 585

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

LCM(1, 585) = 585

GCD(1, 585) = ( 1 x 585 ) / 585

GCD(1, 585) = 585 / 585

GCD(1, 585) = 1

GCD of 848, 713, 414, 585 is 1

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1. What is the GCD of 848, 713, 414, 585?

GCD of 848, 713, 414, 585 is 1

2. Where do I get the detailed procedure to find GCD of 848, 713, 414, 585?

You can find a detailed procedure to find GCD of 848, 713, 414, 585 on our page.

3. How to find GCD of 848, 713, 414, 585 on a calculator?

You can find the GCD of 848, 713, 414, 585 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.