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 196, 891, 307, 760 i.e. 1 largest integer that divides all the numbers equally.
GCD of 196, 891, 307, 760 is 1
GCD(196, 891, 307, 760) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 196, 891, 307, 760 is 1
GCD(196, 891, 307, 760) = 1
Given Input numbers are 196, 891, 307, 760
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 196
List of positive integer divisors of 196 that divides 196 without a remainder.
1, 2, 4, 7, 14, 28, 49, 98, 196
Divisors of 891
List of positive integer divisors of 891 that divides 891 without a remainder.
1, 3, 9, 11, 27, 33, 81, 99, 297, 891
Divisors of 307
List of positive integer divisors of 307 that divides 307 without a remainder.
1, 307
Divisors of 760
List of positive integer divisors of 760 that divides 760 without a remainder.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
Greatest Common Divisior
We found the divisors of 196, 891, 307, 760 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 196, 891, 307, 760 is 1.
Therefore, GCD of numbers 196, 891, 307, 760 is 1
Given Input Data is 196, 891, 307, 760
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 196 is 2 x 2 x 7 x 7
Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11
Prime Factorization of 307 is 307
Prime Factorization of 760 is 2 x 2 x 2 x 5 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(196, 891) = 174636
GCD(196, 891) = ( 196 x 891 ) / 174636
GCD(196, 891) = 174636 / 174636
GCD(196, 891) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 307
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 307) = 307
GCD(1, 307) = ( 1 x 307 ) / 307
GCD(1, 307) = 307 / 307
GCD(1, 307) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 760
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 760) = 760
GCD(1, 760) = ( 1 x 760 ) / 760
GCD(1, 760) = 760 / 760
GCD(1, 760) = 1
GCD of 196, 891, 307, 760 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 196, 891, 307, 760?
GCD of 196, 891, 307, 760 is 1
2. Where do I get the detailed procedure to find GCD of 196, 891, 307, 760?
You can find a detailed procedure to find GCD of 196, 891, 307, 760 on our page.
3. How to find GCD of 196, 891, 307, 760 on a calculator?
You can find the GCD of 196, 891, 307, 760 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.