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 611, 117, 34, 113 i.e. 1 largest integer that divides all the numbers equally.
GCD of 611, 117, 34, 113 is 1
GCD(611, 117, 34, 113) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 611, 117, 34, 113 is 1
GCD(611, 117, 34, 113) = 1
Given Input numbers are 611, 117, 34, 113
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 611
List of positive integer divisors of 611 that divides 611 without a remainder.
1, 13, 47, 611
Divisors of 117
List of positive integer divisors of 117 that divides 117 without a remainder.
1, 3, 9, 13, 39, 117
Divisors of 34
List of positive integer divisors of 34 that divides 34 without a remainder.
1, 2, 17, 34
Divisors of 113
List of positive integer divisors of 113 that divides 113 without a remainder.
1, 113
Greatest Common Divisior
We found the divisors of 611, 117, 34, 113 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 611, 117, 34, 113 is 1.
Therefore, GCD of numbers 611, 117, 34, 113 is 1
Given Input Data is 611, 117, 34, 113
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 611 is 13 x 47
Prime Factorization of 117 is 3 x 3 x 13
Prime Factorization of 34 is 2 x 17
Prime Factorization of 113 is 113
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(611, 117) = 5499
GCD(611, 117) = ( 611 x 117 ) / 5499
GCD(611, 117) = 71487 / 5499
GCD(611, 117) = 13
Step2:
Here we consider the GCD from the above i.e. 13 as first number and the next as 34
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(13, 34) = 442
GCD(13, 34) = ( 13 x 34 ) / 442
GCD(13, 34) = 442 / 442
GCD(13, 34) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 113
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 113) = 113
GCD(1, 113) = ( 1 x 113 ) / 113
GCD(1, 113) = 113 / 113
GCD(1, 113) = 1
GCD of 611, 117, 34, 113 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 611, 117, 34, 113?
GCD of 611, 117, 34, 113 is 1
2. Where do I get the detailed procedure to find GCD of 611, 117, 34, 113?
You can find a detailed procedure to find GCD of 611, 117, 34, 113 on our page.
3. How to find GCD of 611, 117, 34, 113 on a calculator?
You can find the GCD of 611, 117, 34, 113 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.