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 969, 893, 199, 163 i.e. 1 largest integer that divides all the numbers equally.
GCD of 969, 893, 199, 163 is 1
GCD(969, 893, 199, 163) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 969, 893, 199, 163 is 1
GCD(969, 893, 199, 163) = 1
Given Input numbers are 969, 893, 199, 163
To find the GCD of numbers using factoring list out all the divisors of each number
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 893
List of positive integer divisors of 893 that divides 893 without a remainder.
1, 19, 47, 893
Divisors of 199
List of positive integer divisors of 199 that divides 199 without a remainder.
1, 199
Divisors of 163
List of positive integer divisors of 163 that divides 163 without a remainder.
1, 163
Greatest Common Divisior
We found the divisors of 969, 893, 199, 163 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 969, 893, 199, 163 is 1.
Therefore, GCD of numbers 969, 893, 199, 163 is 1
Given Input Data is 969, 893, 199, 163
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 969 is 3 x 17 x 19
Prime Factorization of 893 is 19 x 47
Prime Factorization of 199 is 199
Prime Factorization of 163 is 163
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(969, 893) = 45543
GCD(969, 893) = ( 969 x 893 ) / 45543
GCD(969, 893) = 865317 / 45543
GCD(969, 893) = 19
Step2:
Here we consider the GCD from the above i.e. 19 as first number and the next as 199
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(19, 199) = 3781
GCD(19, 199) = ( 19 x 199 ) / 3781
GCD(19, 199) = 3781 / 3781
GCD(19, 199) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 163
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 163) = 163
GCD(1, 163) = ( 1 x 163 ) / 163
GCD(1, 163) = 163 / 163
GCD(1, 163) = 1
GCD of 969, 893, 199, 163 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 969, 893, 199, 163?
GCD of 969, 893, 199, 163 is 1
2. Where do I get the detailed procedure to find GCD of 969, 893, 199, 163?
You can find a detailed procedure to find GCD of 969, 893, 199, 163 on our page.
3. How to find GCD of 969, 893, 199, 163 on a calculator?
You can find the GCD of 969, 893, 199, 163 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.