GCD of 938, 824, 92, 810 Calculator

Given Input numbers are 938, 824, 92, 810

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

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 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 92

List of positive integer divisors of 92 that divides 92 without a remainder.

1, 2, 4, 23, 46, 92

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

Greatest Common Divisior

We found the divisors of 938, 824, 92, 810 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 938, 824, 92, 810 is 2.

Therefore, GCD of numbers 938, 824, 92, 810 is 2

Given Input Data is 938, 824, 92, 810

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

Prime Factorization of 938 is 2 x 7 x 67

Prime Factorization of 824 is 2 x 2 x 2 x 103

Prime Factorization of 92 is 2 x 2 x 23

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

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(938, 824) = 386456

GCD(938, 824) = ( 938 x 824 ) / 386456

GCD(938, 824) = 772912 / 386456

GCD(938, 824) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 92

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

LCM(2, 92) = 92

GCD(2, 92) = ( 2 x 92 ) / 92

GCD(2, 92) = 184 / 92

GCD(2, 92) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 810

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

LCM(2, 810) = 810

GCD(2, 810) = ( 2 x 810 ) / 810

GCD(2, 810) = 1620 / 810

GCD(2, 810) = 2

GCD of 938, 824, 92, 810 is 2

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1. What is the GCD of 938, 824, 92, 810?

GCD of 938, 824, 92, 810 is 2

2. Where do I get the detailed procedure to find GCD of 938, 824, 92, 810?

You can find a detailed procedure to find GCD of 938, 824, 92, 810 on our page.

3. How to find GCD of 938, 824, 92, 810 on a calculator?

You can find the GCD of 938, 824, 92, 810 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.