GCD of 675, 814, 15, 585 Calculator

Given Input numbers are 675, 814, 15, 585

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

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

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 675, 814, 15, 585 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 675, 814, 15, 585 is 1.

Therefore, GCD of numbers 675, 814, 15, 585 is 1

Given Input Data is 675, 814, 15, 585

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

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 15 is 3 x 5

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(675, 814) = 549450

GCD(675, 814) = ( 675 x 814 ) / 549450

GCD(675, 814) = 549450 / 549450

GCD(675, 814) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 15

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

LCM(1, 15) = 15

GCD(1, 15) = ( 1 x 15 ) / 15

GCD(1, 15) = 15 / 15

GCD(1, 15) = 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 675, 814, 15, 585 is 1

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• GCD of 185, 983, 90, 760
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1. What is the GCD of 675, 814, 15, 585?

GCD of 675, 814, 15, 585 is 1

2. Where do I get the detailed procedure to find GCD of 675, 814, 15, 585?

You can find a detailed procedure to find GCD of 675, 814, 15, 585 on our page.

3. How to find GCD of 675, 814, 15, 585 on a calculator?

You can find the GCD of 675, 814, 15, 585 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.