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 91, 130, 804, 991 i.e. 1 largest integer that divides all the numbers equally.
GCD of 91, 130, 804, 991 is 1
GCD(91, 130, 804, 991) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 91, 130, 804, 991 is 1
GCD(91, 130, 804, 991) = 1
Given Input numbers are 91, 130, 804, 991
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 91
List of positive integer divisors of 91 that divides 91 without a remainder.
1, 7, 13, 91
Divisors of 130
List of positive integer divisors of 130 that divides 130 without a remainder.
1, 2, 5, 10, 13, 26, 65, 130
Divisors of 804
List of positive integer divisors of 804 that divides 804 without a remainder.
1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
Divisors of 991
List of positive integer divisors of 991 that divides 991 without a remainder.
1, 991
Greatest Common Divisior
We found the divisors of 91, 130, 804, 991 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 91, 130, 804, 991 is 1.
Therefore, GCD of numbers 91, 130, 804, 991 is 1
Given Input Data is 91, 130, 804, 991
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 91 is 7 x 13
Prime Factorization of 130 is 2 x 5 x 13
Prime Factorization of 804 is 2 x 2 x 3 x 67
Prime Factorization of 991 is 991
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(91, 130) = 910
GCD(91, 130) = ( 91 x 130 ) / 910
GCD(91, 130) = 11830 / 910
GCD(91, 130) = 13
Step2:
Here we consider the GCD from the above i.e. 13 as first number and the next as 804
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(13, 804) = 10452
GCD(13, 804) = ( 13 x 804 ) / 10452
GCD(13, 804) = 10452 / 10452
GCD(13, 804) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 991
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 991) = 991
GCD(1, 991) = ( 1 x 991 ) / 991
GCD(1, 991) = 991 / 991
GCD(1, 991) = 1
GCD of 91, 130, 804, 991 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 91, 130, 804, 991?
GCD of 91, 130, 804, 991 is 1
2. Where do I get the detailed procedure to find GCD of 91, 130, 804, 991?
You can find a detailed procedure to find GCD of 91, 130, 804, 991 on our page.
3. How to find GCD of 91, 130, 804, 991 on a calculator?
You can find the GCD of 91, 130, 804, 991 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.