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 696, 301, 111, 969 i.e. 1 largest integer that divides all the numbers equally.
GCD of 696, 301, 111, 969 is 1
GCD(696, 301, 111, 969) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 696, 301, 111, 969 is 1
GCD(696, 301, 111, 969) = 1
Given Input numbers are 696, 301, 111, 969
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 696
List of positive integer divisors of 696 that divides 696 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Divisors of 301
List of positive integer divisors of 301 that divides 301 without a remainder.
1, 7, 43, 301
Divisors of 111
List of positive integer divisors of 111 that divides 111 without a remainder.
1, 3, 37, 111
Divisors of 969
List of positive integer divisors of 969 that divides 969 without a remainder.
1, 3, 17, 19, 51, 57, 323, 969
Greatest Common Divisior
We found the divisors of 696, 301, 111, 969 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 696, 301, 111, 969 is 1.
Therefore, GCD of numbers 696, 301, 111, 969 is 1
Given Input Data is 696, 301, 111, 969
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29
Prime Factorization of 301 is 7 x 43
Prime Factorization of 111 is 3 x 37
Prime Factorization of 969 is 3 x 17 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(696, 301) = 209496
GCD(696, 301) = ( 696 x 301 ) / 209496
GCD(696, 301) = 209496 / 209496
GCD(696, 301) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 111
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 111) = 111
GCD(1, 111) = ( 1 x 111 ) / 111
GCD(1, 111) = 111 / 111
GCD(1, 111) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 969
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 969) = 969
GCD(1, 969) = ( 1 x 969 ) / 969
GCD(1, 969) = 969 / 969
GCD(1, 969) = 1
GCD of 696, 301, 111, 969 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 696, 301, 111, 969?
GCD of 696, 301, 111, 969 is 1
2. Where do I get the detailed procedure to find GCD of 696, 301, 111, 969?
You can find a detailed procedure to find GCD of 696, 301, 111, 969 on our page.
3. How to find GCD of 696, 301, 111, 969 on a calculator?
You can find the GCD of 696, 301, 111, 969 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.