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 75, 696, 838, 931 i.e. 1 largest integer that divides all the numbers equally.
GCD of 75, 696, 838, 931 is 1
GCD(75, 696, 838, 931) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 75, 696, 838, 931 is 1
GCD(75, 696, 838, 931) = 1
Given Input numbers are 75, 696, 838, 931
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 75
List of positive integer divisors of 75 that divides 75 without a remainder.
1, 3, 5, 15, 25, 75
Divisors of 696
List of positive integer divisors of 696 that divides 696 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Divisors of 838
List of positive integer divisors of 838 that divides 838 without a remainder.
1, 2, 419, 838
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 75, 696, 838, 931 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 75, 696, 838, 931 is 1.
Therefore, GCD of numbers 75, 696, 838, 931 is 1
Given Input Data is 75, 696, 838, 931
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 75 is 3 x 5 x 5
Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29
Prime Factorization of 838 is 2 x 419
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(75, 696) = 17400
GCD(75, 696) = ( 75 x 696 ) / 17400
GCD(75, 696) = 52200 / 17400
GCD(75, 696) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 838
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 838) = 2514
GCD(3, 838) = ( 3 x 838 ) / 2514
GCD(3, 838) = 2514 / 2514
GCD(3, 838) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 931
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 931) = 931
GCD(1, 931) = ( 1 x 931 ) / 931
GCD(1, 931) = 931 / 931
GCD(1, 931) = 1
GCD of 75, 696, 838, 931 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 75, 696, 838, 931?
GCD of 75, 696, 838, 931 is 1
2. Where do I get the detailed procedure to find GCD of 75, 696, 838, 931?
You can find a detailed procedure to find GCD of 75, 696, 838, 931 on our page.
3. How to find GCD of 75, 696, 838, 931 on a calculator?
You can find the GCD of 75, 696, 838, 931 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.