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, 138, 955, 469 i.e. 1 largest integer that divides all the numbers equally.
GCD of 103, 138, 955, 469 is 1
GCD(103, 138, 955, 469) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 103, 138, 955, 469 is 1
GCD(103, 138, 955, 469) = 1
Given Input numbers are 103, 138, 955, 469
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 138
List of positive integer divisors of 138 that divides 138 without a remainder.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 955
List of positive integer divisors of 955 that divides 955 without a remainder.
1, 5, 191, 955
Divisors of 469
List of positive integer divisors of 469 that divides 469 without a remainder.
1, 7, 67, 469
Greatest Common Divisior
We found the divisors of 103, 138, 955, 469 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 103, 138, 955, 469 is 1.
Therefore, GCD of numbers 103, 138, 955, 469 is 1
Given Input Data is 103, 138, 955, 469
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 103 is 103
Prime Factorization of 138 is 2 x 3 x 23
Prime Factorization of 955 is 5 x 191
Prime Factorization of 469 is 7 x 67
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, 138) = 14214
GCD(103, 138) = ( 103 x 138 ) / 14214
GCD(103, 138) = 14214 / 14214
GCD(103, 138) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 955
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 955) = 955
GCD(1, 955) = ( 1 x 955 ) / 955
GCD(1, 955) = 955 / 955
GCD(1, 955) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 469
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 469) = 469
GCD(1, 469) = ( 1 x 469 ) / 469
GCD(1, 469) = 469 / 469
GCD(1, 469) = 1
GCD of 103, 138, 955, 469 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 103, 138, 955, 469?
GCD of 103, 138, 955, 469 is 1
2. Where do I get the detailed procedure to find GCD of 103, 138, 955, 469?
You can find a detailed procedure to find GCD of 103, 138, 955, 469 on our page.
3. How to find GCD of 103, 138, 955, 469 on a calculator?
You can find the GCD of 103, 138, 955, 469 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.