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, 738, 38, 711 i.e. 1 largest integer that divides all the numbers equally.
GCD of 103, 738, 38, 711 is 1
GCD(103, 738, 38, 711) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 103, 738, 38, 711 is 1
GCD(103, 738, 38, 711) = 1
Given Input numbers are 103, 738, 38, 711
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 738
List of positive integer divisors of 738 that divides 738 without a remainder.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Divisors of 38
List of positive integer divisors of 38 that divides 38 without a remainder.
1, 2, 19, 38
Divisors of 711
List of positive integer divisors of 711 that divides 711 without a remainder.
1, 3, 9, 79, 237, 711
Greatest Common Divisior
We found the divisors of 103, 738, 38, 711 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 103, 738, 38, 711 is 1.
Therefore, GCD of numbers 103, 738, 38, 711 is 1
Given Input Data is 103, 738, 38, 711
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 103 is 103
Prime Factorization of 738 is 2 x 3 x 3 x 41
Prime Factorization of 38 is 2 x 19
Prime Factorization of 711 is 3 x 3 x 79
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, 738) = 76014
GCD(103, 738) = ( 103 x 738 ) / 76014
GCD(103, 738) = 76014 / 76014
GCD(103, 738) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 38
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 38) = 38
GCD(1, 38) = ( 1 x 38 ) / 38
GCD(1, 38) = 38 / 38
GCD(1, 38) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 711
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 711) = 711
GCD(1, 711) = ( 1 x 711 ) / 711
GCD(1, 711) = 711 / 711
GCD(1, 711) = 1
GCD of 103, 738, 38, 711 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 103, 738, 38, 711?
GCD of 103, 738, 38, 711 is 1
2. Where do I get the detailed procedure to find GCD of 103, 738, 38, 711?
You can find a detailed procedure to find GCD of 103, 738, 38, 711 on our page.
3. How to find GCD of 103, 738, 38, 711 on a calculator?
You can find the GCD of 103, 738, 38, 711 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.