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 802, 484, 49, 991 i.e. 1 largest integer that divides all the numbers equally.
GCD of 802, 484, 49, 991 is 1
GCD(802, 484, 49, 991) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 802, 484, 49, 991 is 1
GCD(802, 484, 49, 991) = 1
Given Input numbers are 802, 484, 49, 991
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 802
List of positive integer divisors of 802 that divides 802 without a remainder.
1, 2, 401, 802
Divisors of 484
List of positive integer divisors of 484 that divides 484 without a remainder.
1, 2, 4, 11, 22, 44, 121, 242, 484
Divisors of 49
List of positive integer divisors of 49 that divides 49 without a remainder.
1, 7, 49
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 802, 484, 49, 991 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 802, 484, 49, 991 is 1.
Therefore, GCD of numbers 802, 484, 49, 991 is 1
Given Input Data is 802, 484, 49, 991
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 802 is 2 x 401
Prime Factorization of 484 is 2 x 2 x 11 x 11
Prime Factorization of 49 is 7 x 7
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(802, 484) = 194084
GCD(802, 484) = ( 802 x 484 ) / 194084
GCD(802, 484) = 388168 / 194084
GCD(802, 484) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 49
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 49) = 98
GCD(2, 49) = ( 2 x 49 ) / 98
GCD(2, 49) = 98 / 98
GCD(2, 49) = 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 802, 484, 49, 991 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 802, 484, 49, 991?
GCD of 802, 484, 49, 991 is 1
2. Where do I get the detailed procedure to find GCD of 802, 484, 49, 991?
You can find a detailed procedure to find GCD of 802, 484, 49, 991 on our page.
3. How to find GCD of 802, 484, 49, 991 on a calculator?
You can find the GCD of 802, 484, 49, 991 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.