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 195, 909, 746, 710 i.e. 1 largest integer that divides all the numbers equally.
GCD of 195, 909, 746, 710 is 1
GCD(195, 909, 746, 710) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 195, 909, 746, 710 is 1
GCD(195, 909, 746, 710) = 1
Given Input numbers are 195, 909, 746, 710
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 195
List of positive integer divisors of 195 that divides 195 without a remainder.
1, 3, 5, 13, 15, 39, 65, 195
Divisors of 909
List of positive integer divisors of 909 that divides 909 without a remainder.
1, 3, 9, 101, 303, 909
Divisors of 746
List of positive integer divisors of 746 that divides 746 without a remainder.
1, 2, 373, 746
Divisors of 710
List of positive integer divisors of 710 that divides 710 without a remainder.
1, 2, 5, 10, 71, 142, 355, 710
Greatest Common Divisior
We found the divisors of 195, 909, 746, 710 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 195, 909, 746, 710 is 1.
Therefore, GCD of numbers 195, 909, 746, 710 is 1
Given Input Data is 195, 909, 746, 710
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 195 is 3 x 5 x 13
Prime Factorization of 909 is 3 x 3 x 101
Prime Factorization of 746 is 2 x 373
Prime Factorization of 710 is 2 x 5 x 71
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(195, 909) = 59085
GCD(195, 909) = ( 195 x 909 ) / 59085
GCD(195, 909) = 177255 / 59085
GCD(195, 909) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 746
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 746) = 2238
GCD(3, 746) = ( 3 x 746 ) / 2238
GCD(3, 746) = 2238 / 2238
GCD(3, 746) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 710
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 710) = 710
GCD(1, 710) = ( 1 x 710 ) / 710
GCD(1, 710) = 710 / 710
GCD(1, 710) = 1
GCD of 195, 909, 746, 710 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 195, 909, 746, 710?
GCD of 195, 909, 746, 710 is 1
2. Where do I get the detailed procedure to find GCD of 195, 909, 746, 710?
You can find a detailed procedure to find GCD of 195, 909, 746, 710 on our page.
3. How to find GCD of 195, 909, 746, 710 on a calculator?
You can find the GCD of 195, 909, 746, 710 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.