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 103, 417, 85, 118 i.e. 1 largest integer that divides all the numbers equally.
GCD of 103, 417, 85, 118 is 1
GCD(103, 417, 85, 118) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 103, 417, 85, 118 is 1
GCD(103, 417, 85, 118) = 1
Given Input numbers are 103, 417, 85, 118
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 103
List of positive integer divisors of 103 that divides 103 without a remainder.
1, 103
Divisors of 417
List of positive integer divisors of 417 that divides 417 without a remainder.
1, 3, 139, 417
Divisors of 85
List of positive integer divisors of 85 that divides 85 without a remainder.
1, 5, 17, 85
Divisors of 118
List of positive integer divisors of 118 that divides 118 without a remainder.
1, 2, 59, 118
Greatest Common Divisior
We found the divisors of 103, 417, 85, 118 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 103, 417, 85, 118 is 1.
Therefore, GCD of numbers 103, 417, 85, 118 is 1
Given Input Data is 103, 417, 85, 118
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 103 is 103
Prime Factorization of 417 is 3 x 139
Prime Factorization of 85 is 5 x 17
Prime Factorization of 118 is 2 x 59
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(103, 417) = 42951
GCD(103, 417) = ( 103 x 417 ) / 42951
GCD(103, 417) = 42951 / 42951
GCD(103, 417) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 85
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 85) = 85
GCD(1, 85) = ( 1 x 85 ) / 85
GCD(1, 85) = 85 / 85
GCD(1, 85) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 118
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 118) = 118
GCD(1, 118) = ( 1 x 118 ) / 118
GCD(1, 118) = 118 / 118
GCD(1, 118) = 1
GCD of 103, 417, 85, 118 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 103, 417, 85, 118?
GCD of 103, 417, 85, 118 is 1
2. Where do I get the detailed procedure to find GCD of 103, 417, 85, 118?
You can find a detailed procedure to find GCD of 103, 417, 85, 118 on our page.
3. How to find GCD of 103, 417, 85, 118 on a calculator?
You can find the GCD of 103, 417, 85, 118 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.