GCD of 810, 938, 854 Calculator

Given Input numbers are 810, 938, 854

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

Divisors of 810

List of positive integer divisors of 810 that divides 810 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 854

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

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

Greatest Common Divisior

We found the divisors of 810, 938, 854 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 810, 938, 854 is 2.

Therefore, GCD of numbers 810, 938, 854 is 2

Given Input Data is 810, 938, 854

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

Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5

Prime Factorization of 938 is 2 x 7 x 67

Prime Factorization of 854 is 2 x 7 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(810, 938) = 379890

GCD(810, 938) = ( 810 x 938 ) / 379890

GCD(810, 938) = 759780 / 379890

GCD(810, 938) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 854

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

LCM(2, 854) = 854

GCD(2, 854) = ( 2 x 854 ) / 854

GCD(2, 854) = 1708 / 854

GCD(2, 854) = 2

GCD of 810, 938, 854 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 970, 691, 611
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1. What is the GCD of 810, 938, 854?

GCD of 810, 938, 854 is 2

2. Where do I get the detailed procedure to find GCD of 810, 938, 854?

You can find a detailed procedure to find GCD of 810, 938, 854 on our page.

3. How to find GCD of 810, 938, 854 on a calculator?

You can find the GCD of 810, 938, 854 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.