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 numbers 935, 940, 714, 838 is 1
GCD(935, 940, 714, 838) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.