GCD of 685, 535, 585 Calculator

Given Input numbers are 685, 535, 585

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

Divisors of 685

List of positive integer divisors of 685 that divides 685 without a remainder.

1, 5, 137, 685

Divisors of 535

List of positive integer divisors of 535 that divides 535 without a remainder.

1, 5, 107, 535

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 685, 535, 585 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 685, 535, 585 is 5.

Therefore, GCD of numbers 685, 535, 585 is 5

Given Input Data is 685, 535, 585

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

Prime Factorization of 685 is 5 x 137

Prime Factorization of 535 is 5 x 107

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

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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(685, 535) = 73295

GCD(685, 535) = ( 685 x 535 ) / 73295

GCD(685, 535) = 366475 / 73295

GCD(685, 535) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 585

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

LCM(5, 585) = 585

GCD(5, 585) = ( 5 x 585 ) / 585

GCD(5, 585) = 2925 / 585

GCD(5, 585) = 5

GCD of 685, 535, 585 is 5

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1. What is the GCD of 685, 535, 585?

GCD of 685, 535, 585 is 5

2. Where do I get the detailed procedure to find GCD of 685, 535, 585?

You can find a detailed procedure to find GCD of 685, 535, 585 on our page.

3. How to find GCD of 685, 535, 585 on a calculator?

You can find the GCD of 685, 535, 585 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.