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 992, 969, 27, 802 i.e. 1 largest integer that divides all the numbers equally.
GCD of 992, 969, 27, 802 is 1
GCD(992, 969, 27, 802) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 992, 969, 27, 802 is 1
GCD(992, 969, 27, 802) = 1
Given Input numbers are 992, 969, 27, 802
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 992
List of positive integer divisors of 992 that divides 992 without a remainder.
1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
Divisors of 969
List of positive integer divisors of 969 that divides 969 without a remainder.
1, 3, 17, 19, 51, 57, 323, 969
Divisors of 27
List of positive integer divisors of 27 that divides 27 without a remainder.
1, 3, 9, 27
Divisors of 802
List of positive integer divisors of 802 that divides 802 without a remainder.
1, 2, 401, 802
Greatest Common Divisior
We found the divisors of 992, 969, 27, 802 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 992, 969, 27, 802 is 1.
Therefore, GCD of numbers 992, 969, 27, 802 is 1
Given Input Data is 992, 969, 27, 802
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31
Prime Factorization of 969 is 3 x 17 x 19
Prime Factorization of 27 is 3 x 3 x 3
Prime Factorization of 802 is 2 x 401
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(992, 969) = 961248
GCD(992, 969) = ( 992 x 969 ) / 961248
GCD(992, 969) = 961248 / 961248
GCD(992, 969) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 27
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 27) = 27
GCD(1, 27) = ( 1 x 27 ) / 27
GCD(1, 27) = 27 / 27
GCD(1, 27) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 802
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 802) = 802
GCD(1, 802) = ( 1 x 802 ) / 802
GCD(1, 802) = 802 / 802
GCD(1, 802) = 1
GCD of 992, 969, 27, 802 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 992, 969, 27, 802?
GCD of 992, 969, 27, 802 is 1
2. Where do I get the detailed procedure to find GCD of 992, 969, 27, 802?
You can find a detailed procedure to find GCD of 992, 969, 27, 802 on our page.
3. How to find GCD of 992, 969, 27, 802 on a calculator?
You can find the GCD of 992, 969, 27, 802 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.