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 10, 933, 735, 331 i.e. 1 largest integer that divides all the numbers equally.
GCD of 10, 933, 735, 331 is 1
GCD(10, 933, 735, 331) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 10, 933, 735, 331 is 1
GCD(10, 933, 735, 331) = 1
Given Input numbers are 10, 933, 735, 331
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 10
List of positive integer divisors of 10 that divides 10 without a remainder.
1, 2, 5, 10
Divisors of 933
List of positive integer divisors of 933 that divides 933 without a remainder.
1, 3, 311, 933
Divisors of 735
List of positive integer divisors of 735 that divides 735 without a remainder.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Divisors of 331
List of positive integer divisors of 331 that divides 331 without a remainder.
1, 331
Greatest Common Divisior
We found the divisors of 10, 933, 735, 331 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 933, 735, 331 is 1.
Therefore, GCD of numbers 10, 933, 735, 331 is 1
Given Input Data is 10, 933, 735, 331
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 10 is 2 x 5
Prime Factorization of 933 is 3 x 311
Prime Factorization of 735 is 3 x 5 x 7 x 7
Prime Factorization of 331 is 331
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(10, 933) = 9330
GCD(10, 933) = ( 10 x 933 ) / 9330
GCD(10, 933) = 9330 / 9330
GCD(10, 933) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 735
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 735) = 735
GCD(1, 735) = ( 1 x 735 ) / 735
GCD(1, 735) = 735 / 735
GCD(1, 735) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 331
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 331) = 331
GCD(1, 331) = ( 1 x 331 ) / 331
GCD(1, 331) = 331 / 331
GCD(1, 331) = 1
GCD of 10, 933, 735, 331 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 10, 933, 735, 331?
GCD of 10, 933, 735, 331 is 1
2. Where do I get the detailed procedure to find GCD of 10, 933, 735, 331?
You can find a detailed procedure to find GCD of 10, 933, 735, 331 on our page.
3. How to find GCD of 10, 933, 735, 331 on a calculator?
You can find the GCD of 10, 933, 735, 331 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.