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 732, 194, 293, 975 i.e. 1 largest integer that divides all the numbers equally.
GCD of 732, 194, 293, 975 is 1
GCD(732, 194, 293, 975) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 732, 194, 293, 975 is 1
GCD(732, 194, 293, 975) = 1
Given Input numbers are 732, 194, 293, 975
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 732
List of positive integer divisors of 732 that divides 732 without a remainder.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Divisors of 194
List of positive integer divisors of 194 that divides 194 without a remainder.
1, 2, 97, 194
Divisors of 293
List of positive integer divisors of 293 that divides 293 without a remainder.
1, 293
Divisors of 975
List of positive integer divisors of 975 that divides 975 without a remainder.
1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
Greatest Common Divisior
We found the divisors of 732, 194, 293, 975 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 732, 194, 293, 975 is 1.
Therefore, GCD of numbers 732, 194, 293, 975 is 1
Given Input Data is 732, 194, 293, 975
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 732 is 2 x 2 x 3 x 61
Prime Factorization of 194 is 2 x 97
Prime Factorization of 293 is 293
Prime Factorization of 975 is 3 x 5 x 5 x 13
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(732, 194) = 71004
GCD(732, 194) = ( 732 x 194 ) / 71004
GCD(732, 194) = 142008 / 71004
GCD(732, 194) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 293
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 293) = 586
GCD(2, 293) = ( 2 x 293 ) / 586
GCD(2, 293) = 586 / 586
GCD(2, 293) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 975
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 975) = 975
GCD(1, 975) = ( 1 x 975 ) / 975
GCD(1, 975) = 975 / 975
GCD(1, 975) = 1
GCD of 732, 194, 293, 975 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 732, 194, 293, 975?
GCD of 732, 194, 293, 975 is 1
2. Where do I get the detailed procedure to find GCD of 732, 194, 293, 975?
You can find a detailed procedure to find GCD of 732, 194, 293, 975 on our page.
3. How to find GCD of 732, 194, 293, 975 on a calculator?
You can find the GCD of 732, 194, 293, 975 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.