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 113, 440, 95, 209 i.e. 1 largest integer that divides all the numbers equally.
GCD of 113, 440, 95, 209 is 1
GCD(113, 440, 95, 209) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 113, 440, 95, 209 is 1
GCD(113, 440, 95, 209) = 1
Given Input numbers are 113, 440, 95, 209
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 113
List of positive integer divisors of 113 that divides 113 without a remainder.
1, 113
Divisors of 440
List of positive integer divisors of 440 that divides 440 without a remainder.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
Divisors of 95
List of positive integer divisors of 95 that divides 95 without a remainder.
1, 5, 19, 95
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 113, 440, 95, 209 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 113, 440, 95, 209 is 1.
Therefore, GCD of numbers 113, 440, 95, 209 is 1
Given Input Data is 113, 440, 95, 209
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 113 is 113
Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11
Prime Factorization of 95 is 5 x 19
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(113, 440) = 49720
GCD(113, 440) = ( 113 x 440 ) / 49720
GCD(113, 440) = 49720 / 49720
GCD(113, 440) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 95
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 95) = 95
GCD(1, 95) = ( 1 x 95 ) / 95
GCD(1, 95) = 95 / 95
GCD(1, 95) = 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 113, 440, 95, 209 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 113, 440, 95, 209?
GCD of 113, 440, 95, 209 is 1
2. Where do I get the detailed procedure to find GCD of 113, 440, 95, 209?
You can find a detailed procedure to find GCD of 113, 440, 95, 209 on our page.
3. How to find GCD of 113, 440, 95, 209 on a calculator?
You can find the GCD of 113, 440, 95, 209 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.