GCD of 938, 686, 810, 931 Calculator

Given Input numbers are 938, 686, 810, 931

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 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

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 931

List of positive integer divisors of 931 that divides 931 without a remainder.

1, 7, 19, 49, 133, 931

Greatest Common Divisior

We found the divisors of 938, 686, 810, 931 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 938, 686, 810, 931 is 1.

Therefore, GCD of numbers 938, 686, 810, 931 is 1

Given Input Data is 938, 686, 810, 931

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 686 is 2 x 7 x 7 x 7

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

Prime Factorization of 931 is 7 x 7 x 19

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(938, 686) = 45962

GCD(938, 686) = ( 938 x 686 ) / 45962

GCD(938, 686) = 643468 / 45962

GCD(938, 686) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 810

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

LCM(14, 810) = 5670

GCD(14, 810) = ( 14 x 810 ) / 5670

GCD(14, 810) = 11340 / 5670

GCD(14, 810) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 931

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

LCM(2, 931) = 1862

GCD(2, 931) = ( 2 x 931 ) / 1862

GCD(2, 931) = 1862 / 1862

GCD(2, 931) = 1

GCD of 938, 686, 810, 931 is 1

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1. What is the GCD of 938, 686, 810, 931?

GCD of 938, 686, 810, 931 is 1

2. Where do I get the detailed procedure to find GCD of 938, 686, 810, 931?

You can find a detailed procedure to find GCD of 938, 686, 810, 931 on our page.

3. How to find GCD of 938, 686, 810, 931 on a calculator?

You can find the GCD of 938, 686, 810, 931 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.