GCD of 352, 674, 82, 585 Calculator

Given Input numbers are 352, 674, 82, 585

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

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

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 352, 674, 82, 585 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 352, 674, 82, 585 is 1.

Therefore, GCD of numbers 352, 674, 82, 585 is 1

Given Input Data is 352, 674, 82, 585

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

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 674 is 2 x 337

Prime Factorization of 82 is 2 x 41

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(352, 674) = 118624

GCD(352, 674) = ( 352 x 674 ) / 118624

GCD(352, 674) = 237248 / 118624

GCD(352, 674) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 82

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

LCM(2, 82) = 82

GCD(2, 82) = ( 2 x 82 ) / 82

GCD(2, 82) = 164 / 82

GCD(2, 82) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 585

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

LCM(2, 585) = 1170

GCD(2, 585) = ( 2 x 585 ) / 1170

GCD(2, 585) = 1170 / 1170

GCD(2, 585) = 1

GCD of 352, 674, 82, 585 is 1

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1. What is the GCD of 352, 674, 82, 585?

GCD of 352, 674, 82, 585 is 1

2. Where do I get the detailed procedure to find GCD of 352, 674, 82, 585?

You can find a detailed procedure to find GCD of 352, 674, 82, 585 on our page.

3. How to find GCD of 352, 674, 82, 585 on a calculator?

You can find the GCD of 352, 674, 82, 585 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.