GCD of 85, 918, 610, 309 Calculator

Given Input numbers are 85, 918, 610, 309

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

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 610

List of positive integer divisors of 610 that divides 610 without a remainder.

1, 2, 5, 10, 61, 122, 305, 610

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Greatest Common Divisior

We found the divisors of 85, 918, 610, 309 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 85, 918, 610, 309 is 1.

Therefore, GCD of numbers 85, 918, 610, 309 is 1

Given Input Data is 85, 918, 610, 309

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

Prime Factorization of 85 is 5 x 17

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

Prime Factorization of 610 is 2 x 5 x 61

Prime Factorization of 309 is 3 x 103

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(85, 918) = 4590

GCD(85, 918) = ( 85 x 918 ) / 4590

GCD(85, 918) = 78030 / 4590

GCD(85, 918) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 610

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

LCM(17, 610) = 10370

GCD(17, 610) = ( 17 x 610 ) / 10370

GCD(17, 610) = 10370 / 10370

GCD(17, 610) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 309

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

LCM(1, 309) = 309

GCD(1, 309) = ( 1 x 309 ) / 309

GCD(1, 309) = 309 / 309

GCD(1, 309) = 1

GCD of 85, 918, 610, 309 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 47, 213, 827, 654
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• GCD of 31, 138, 575, 312

1. What is the GCD of 85, 918, 610, 309?

GCD of 85, 918, 610, 309 is 1

2. Where do I get the detailed procedure to find GCD of 85, 918, 610, 309?

You can find a detailed procedure to find GCD of 85, 918, 610, 309 on our page.

3. How to find GCD of 85, 918, 610, 309 on a calculator?

You can find the GCD of 85, 918, 610, 309 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.