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, 709, 74, 199 i.e. 1 largest integer that divides all the numbers equally.
GCD of 103, 709, 74, 199 is 1
GCD(103, 709, 74, 199) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 103, 709, 74, 199 is 1
GCD(103, 709, 74, 199) = 1
Given Input numbers are 103, 709, 74, 199
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 709
List of positive integer divisors of 709 that divides 709 without a remainder.
1, 709
Divisors of 74
List of positive integer divisors of 74 that divides 74 without a remainder.
1, 2, 37, 74
Divisors of 199
List of positive integer divisors of 199 that divides 199 without a remainder.
1, 199
Greatest Common Divisior
We found the divisors of 103, 709, 74, 199 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 103, 709, 74, 199 is 1.
Therefore, GCD of numbers 103, 709, 74, 199 is 1
Given Input Data is 103, 709, 74, 199
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 103 is 103
Prime Factorization of 709 is 709
Prime Factorization of 74 is 2 x 37
Prime Factorization of 199 is 199
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, 709) = 73027
GCD(103, 709) = ( 103 x 709 ) / 73027
GCD(103, 709) = 73027 / 73027
GCD(103, 709) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 74
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 74) = 74
GCD(1, 74) = ( 1 x 74 ) / 74
GCD(1, 74) = 74 / 74
GCD(1, 74) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 199
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 199) = 199
GCD(1, 199) = ( 1 x 199 ) / 199
GCD(1, 199) = 199 / 199
GCD(1, 199) = 1
GCD of 103, 709, 74, 199 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 103, 709, 74, 199?
GCD of 103, 709, 74, 199 is 1
2. Where do I get the detailed procedure to find GCD of 103, 709, 74, 199?
You can find a detailed procedure to find GCD of 103, 709, 74, 199 on our page.
3. How to find GCD of 103, 709, 74, 199 on a calculator?
You can find the GCD of 103, 709, 74, 199 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.