GCD of 935, 940, 714, 838 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 935, 940, 714, 838 i.e. 1 largest integer that divides all the numbers equally.

GCD of 935, 940, 714, 838 is 1

GCD(935, 940, 714, 838) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 935, 940, 714, 838 is 1

GCD(935, 940, 714, 838) = 1

GCD of 935,940,714,838 Calculator

GCDof 935,940,714,838 is 1

Given Input numbers are 935, 940, 714, 838

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

Divisors of 935

List of positive integer divisors of 935 that divides 935 without a remainder.

1, 5, 11, 17, 55, 85, 187, 935

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Greatest Common Divisior

We found the divisors of 935, 940, 714, 838 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 935, 940, 714, 838 is 1.

Therefore, GCD of numbers 935, 940, 714, 838 is 1

Finding GCD of 935, 940, 714, 838 using Prime Factorization

Given Input Data is 935, 940, 714, 838

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

Prime Factorization of 935 is 5 x 11 x 17

Prime Factorization of 940 is 2 x 2 x 5 x 47

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 838 is 2 x 419

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 935, 940, 714, 838 using LCM Formula

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(935, 940) = 175780

GCD(935, 940) = ( 935 x 940 ) / 175780

GCD(935, 940) = 878900 / 175780

GCD(935, 940) = 5


Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 714

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

LCM(5, 714) = 3570

GCD(5, 714) = ( 5 x 714 ) / 3570

GCD(5, 714) = 3570 / 3570

GCD(5, 714) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 838

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

LCM(1, 838) = 838

GCD(1, 838) = ( 1 x 838 ) / 838

GCD(1, 838) = 838 / 838

GCD(1, 838) = 1

GCD of 935, 940, 714, 838 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 935, 940, 714, 838

1. What is the GCD of 935, 940, 714, 838?

GCD of 935, 940, 714, 838 is 1


2. Where do I get the detailed procedure to find GCD of 935, 940, 714, 838?

You can find a detailed procedure to find GCD of 935, 940, 714, 838 on our page.


3. How to find GCD of 935, 940, 714, 838 on a calculator?

You can find the GCD of 935, 940, 714, 838 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.