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 398, 850, 75, 718 i.e. 1 largest integer that divides all the numbers equally.
GCD of 398, 850, 75, 718 is 1
GCD(398, 850, 75, 718) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 398, 850, 75, 718 is 1
GCD(398, 850, 75, 718) = 1
Given Input numbers are 398, 850, 75, 718
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 398
List of positive integer divisors of 398 that divides 398 without a remainder.
1, 2, 199, 398
Divisors of 850
List of positive integer divisors of 850 that divides 850 without a remainder.
1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
Divisors of 75
List of positive integer divisors of 75 that divides 75 without a remainder.
1, 3, 5, 15, 25, 75
Divisors of 718
List of positive integer divisors of 718 that divides 718 without a remainder.
1, 2, 359, 718
Greatest Common Divisior
We found the divisors of 398, 850, 75, 718 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 398, 850, 75, 718 is 1.
Therefore, GCD of numbers 398, 850, 75, 718 is 1
Given Input Data is 398, 850, 75, 718
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 398 is 2 x 199
Prime Factorization of 850 is 2 x 5 x 5 x 17
Prime Factorization of 75 is 3 x 5 x 5
Prime Factorization of 718 is 2 x 359
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(398, 850) = 169150
GCD(398, 850) = ( 398 x 850 ) / 169150
GCD(398, 850) = 338300 / 169150
GCD(398, 850) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 75
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 75) = 150
GCD(2, 75) = ( 2 x 75 ) / 150
GCD(2, 75) = 150 / 150
GCD(2, 75) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 718
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 718) = 718
GCD(1, 718) = ( 1 x 718 ) / 718
GCD(1, 718) = 718 / 718
GCD(1, 718) = 1
GCD of 398, 850, 75, 718 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 398, 850, 75, 718?
GCD of 398, 850, 75, 718 is 1
2. Where do I get the detailed procedure to find GCD of 398, 850, 75, 718?
You can find a detailed procedure to find GCD of 398, 850, 75, 718 on our page.
3. How to find GCD of 398, 850, 75, 718 on a calculator?
You can find the GCD of 398, 850, 75, 718 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.