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 209, 712, 245, 969 i.e. 1 largest integer that divides all the numbers equally.
GCD of 209, 712, 245, 969 is 1
GCD(209, 712, 245, 969) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 209, 712, 245, 969 is 1
GCD(209, 712, 245, 969) = 1
Given Input numbers are 209, 712, 245, 969
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 209
List of positive integer divisors of 209 that divides 209 without a remainder.
1, 11, 19, 209
Divisors of 712
List of positive integer divisors of 712 that divides 712 without a remainder.
1, 2, 4, 8, 89, 178, 356, 712
Divisors of 245
List of positive integer divisors of 245 that divides 245 without a remainder.
1, 5, 7, 35, 49, 245
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 209, 712, 245, 969 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 209, 712, 245, 969 is 1.
Therefore, GCD of numbers 209, 712, 245, 969 is 1
Given Input Data is 209, 712, 245, 969
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 209 is 11 x 19
Prime Factorization of 712 is 2 x 2 x 2 x 89
Prime Factorization of 245 is 5 x 7 x 7
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(209, 712) = 148808
GCD(209, 712) = ( 209 x 712 ) / 148808
GCD(209, 712) = 148808 / 148808
GCD(209, 712) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 245
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 245) = 245
GCD(1, 245) = ( 1 x 245 ) / 245
GCD(1, 245) = 245 / 245
GCD(1, 245) = 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 209, 712, 245, 969 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 209, 712, 245, 969?
GCD of 209, 712, 245, 969 is 1
2. Where do I get the detailed procedure to find GCD of 209, 712, 245, 969?
You can find a detailed procedure to find GCD of 209, 712, 245, 969 on our page.
3. How to find GCD of 209, 712, 245, 969 on a calculator?
You can find the GCD of 209, 712, 245, 969 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.