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 469, 748, 97, 209 i.e. 1 largest integer that divides all the numbers equally.
GCD of 469, 748, 97, 209 is 1
GCD(469, 748, 97, 209) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 469, 748, 97, 209 is 1
GCD(469, 748, 97, 209) = 1
Given Input numbers are 469, 748, 97, 209
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 469
List of positive integer divisors of 469 that divides 469 without a remainder.
1, 7, 67, 469
Divisors of 748
List of positive integer divisors of 748 that divides 748 without a remainder.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 97
List of positive integer divisors of 97 that divides 97 without a remainder.
1, 97
Divisors of 209
List of positive integer divisors of 209 that divides 209 without a remainder.
1, 11, 19, 209
Greatest Common Divisior
We found the divisors of 469, 748, 97, 209 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 469, 748, 97, 209 is 1.
Therefore, GCD of numbers 469, 748, 97, 209 is 1
Given Input Data is 469, 748, 97, 209
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 469 is 7 x 67
Prime Factorization of 748 is 2 x 2 x 11 x 17
Prime Factorization of 97 is 97
Prime Factorization of 209 is 11 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(469, 748) = 350812
GCD(469, 748) = ( 469 x 748 ) / 350812
GCD(469, 748) = 350812 / 350812
GCD(469, 748) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 97
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 97) = 97
GCD(1, 97) = ( 1 x 97 ) / 97
GCD(1, 97) = 97 / 97
GCD(1, 97) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 209
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 209) = 209
GCD(1, 209) = ( 1 x 209 ) / 209
GCD(1, 209) = 209 / 209
GCD(1, 209) = 1
GCD of 469, 748, 97, 209 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 469, 748, 97, 209?
GCD of 469, 748, 97, 209 is 1
2. Where do I get the detailed procedure to find GCD of 469, 748, 97, 209?
You can find a detailed procedure to find GCD of 469, 748, 97, 209 on our page.
3. How to find GCD of 469, 748, 97, 209 on a calculator?
You can find the GCD of 469, 748, 97, 209 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.