GCD of 994, 217, 103 Calculator
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 994, 217, 103 i.e. 1 largest integer that divides all the numbers equally.
GCD of 994, 217, 103 is 1
GCD(994, 217, 103) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 994, 217, 103 is 1
GCD(994, 217, 103) = 1
GCDof 994,217,103 is 1
Given Input numbers are 994, 217, 103
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 994
List of positive integer divisors of 994 that divides 994 without a remainder.
1, 2, 7, 14, 71, 142, 497, 994
Divisors of 217
List of positive integer divisors of 217 that divides 217 without a remainder.
1, 7, 31, 217
Divisors of 103
List of positive integer divisors of 103 that divides 103 without a remainder.
1, 103
Greatest Common Divisior
We found the divisors of 994, 217, 103 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 994, 217, 103 is 1.
Therefore, GCD of numbers 994, 217, 103 is 1
Given Input Data is 994, 217, 103
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 994 is 2 x 7 x 71
Prime Factorization of 217 is 7 x 31
Prime Factorization of 103 is 103
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 994, 217, 103 using LCM Formula
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(994, 217) = 30814
GCD(994, 217) = ( 994 x 217 ) / 30814
GCD(994, 217) = 215698 / 30814
GCD(994, 217) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 103
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 103) = 721
GCD(7, 103) = ( 7 x 103 ) / 721
GCD(7, 103) = 721 / 721
GCD(7, 103) = 1
GCD of 994, 217, 103 is 1
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FAQs on GCD of numbers 994, 217, 103
1. What is the GCD of 994, 217, 103?
GCD of 994, 217, 103 is 1
2. Where do I get the detailed procedure to find GCD of 994, 217, 103?
You can find a detailed procedure to find GCD of 994, 217, 103 on our page.
3. How to find GCD of 994, 217, 103 on a calculator?
You can find the GCD of 994, 217, 103 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.