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 765, 673, 198, 940 i.e. 1 largest integer that divides all the numbers equally.
GCD of 765, 673, 198, 940 is 1
GCD(765, 673, 198, 940) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 765, 673, 198, 940 is 1
GCD(765, 673, 198, 940) = 1
Given Input numbers are 765, 673, 198, 940
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 765
List of positive integer divisors of 765 that divides 765 without a remainder.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
Divisors of 673
List of positive integer divisors of 673 that divides 673 without a remainder.
1, 673
Divisors of 198
List of positive integer divisors of 198 that divides 198 without a remainder.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
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
Greatest Common Divisior
We found the divisors of 765, 673, 198, 940 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 765, 673, 198, 940 is 1.
Therefore, GCD of numbers 765, 673, 198, 940 is 1
Given Input Data is 765, 673, 198, 940
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 765 is 3 x 3 x 5 x 17
Prime Factorization of 673 is 673
Prime Factorization of 198 is 2 x 3 x 3 x 11
Prime Factorization of 940 is 2 x 2 x 5 x 47
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(765, 673) = 514845
GCD(765, 673) = ( 765 x 673 ) / 514845
GCD(765, 673) = 514845 / 514845
GCD(765, 673) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 198
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 198) = 198
GCD(1, 198) = ( 1 x 198 ) / 198
GCD(1, 198) = 198 / 198
GCD(1, 198) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 940
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 940) = 940
GCD(1, 940) = ( 1 x 940 ) / 940
GCD(1, 940) = 940 / 940
GCD(1, 940) = 1
GCD of 765, 673, 198, 940 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 765, 673, 198, 940?
GCD of 765, 673, 198, 940 is 1
2. Where do I get the detailed procedure to find GCD of 765, 673, 198, 940?
You can find a detailed procedure to find GCD of 765, 673, 198, 940 on our page.
3. How to find GCD of 765, 673, 198, 940 on a calculator?
You can find the GCD of 765, 673, 198, 940 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.