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 75, 434, 103, 339 i.e. 1 largest integer that divides all the numbers equally.
GCD of 75, 434, 103, 339 is 1
GCD(75, 434, 103, 339) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 75, 434, 103, 339 is 1
GCD(75, 434, 103, 339) = 1
Given Input numbers are 75, 434, 103, 339
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 75
List of positive integer divisors of 75 that divides 75 without a remainder.
1, 3, 5, 15, 25, 75
Divisors of 434
List of positive integer divisors of 434 that divides 434 without a remainder.
1, 2, 7, 14, 31, 62, 217, 434
Divisors of 103
List of positive integer divisors of 103 that divides 103 without a remainder.
1, 103
Divisors of 339
List of positive integer divisors of 339 that divides 339 without a remainder.
1, 3, 113, 339
Greatest Common Divisior
We found the divisors of 75, 434, 103, 339 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 75, 434, 103, 339 is 1.
Therefore, GCD of numbers 75, 434, 103, 339 is 1
Given Input Data is 75, 434, 103, 339
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 75 is 3 x 5 x 5
Prime Factorization of 434 is 2 x 7 x 31
Prime Factorization of 103 is 103
Prime Factorization of 339 is 3 x 113
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(75, 434) = 32550
GCD(75, 434) = ( 75 x 434 ) / 32550
GCD(75, 434) = 32550 / 32550
GCD(75, 434) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 103
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 103) = 103
GCD(1, 103) = ( 1 x 103 ) / 103
GCD(1, 103) = 103 / 103
GCD(1, 103) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 339
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 339) = 339
GCD(1, 339) = ( 1 x 339 ) / 339
GCD(1, 339) = 339 / 339
GCD(1, 339) = 1
GCD of 75, 434, 103, 339 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 75, 434, 103, 339?
GCD of 75, 434, 103, 339 is 1
2. Where do I get the detailed procedure to find GCD of 75, 434, 103, 339?
You can find a detailed procedure to find GCD of 75, 434, 103, 339 on our page.
3. How to find GCD of 75, 434, 103, 339 on a calculator?
You can find the GCD of 75, 434, 103, 339 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.