GCD of 854, 116, 610 Calculator

Given Input numbers are 854, 116, 610

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

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 610

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

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

Greatest Common Divisior

We found the divisors of 854, 116, 610 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 854, 116, 610 is 2.

Therefore, GCD of numbers 854, 116, 610 is 2

Given Input Data is 854, 116, 610

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

Prime Factorization of 854 is 2 x 7 x 61

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 610 is 2 x 5 x 61

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(854, 116) = 49532

GCD(854, 116) = ( 854 x 116 ) / 49532

GCD(854, 116) = 99064 / 49532

GCD(854, 116) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 610

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

LCM(2, 610) = 610

GCD(2, 610) = ( 2 x 610 ) / 610

GCD(2, 610) = 1220 / 610

GCD(2, 610) = 2

GCD of 854, 116, 610 is 2

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1. What is the GCD of 854, 116, 610?

GCD of 854, 116, 610 is 2

2. Where do I get the detailed procedure to find GCD of 854, 116, 610?

You can find a detailed procedure to find GCD of 854, 116, 610 on our page.

3. How to find GCD of 854, 116, 610 on a calculator?

You can find the GCD of 854, 116, 610 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.