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, 120, 27, 940 i.e. 1 largest integer that divides all the numbers equally.
GCD of 398, 120, 27, 940 is 1
GCD(398, 120, 27, 940) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 398, 120, 27, 940 is 1
GCD(398, 120, 27, 940) = 1
Given Input numbers are 398, 120, 27, 940
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 120
List of positive integer divisors of 120 that divides 120 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 27
List of positive integer divisors of 27 that divides 27 without a remainder.
1, 3, 9, 27
Divisors of 940
List of positive integer divisors of 940 that divides 940 without a remainder.
1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
Greatest Common Divisior
We found the divisors of 398, 120, 27, 940 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 398, 120, 27, 940 is 1.
Therefore, GCD of numbers 398, 120, 27, 940 is 1
Given Input Data is 398, 120, 27, 940
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 398 is 2 x 199
Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5
Prime Factorization of 27 is 3 x 3 x 3
Prime Factorization of 940 is 2 x 2 x 5 x 47
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, 120) = 23880
GCD(398, 120) = ( 398 x 120 ) / 23880
GCD(398, 120) = 47760 / 23880
GCD(398, 120) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 27
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 27) = 54
GCD(2, 27) = ( 2 x 27 ) / 54
GCD(2, 27) = 54 / 54
GCD(2, 27) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 940
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 940) = 940
GCD(1, 940) = ( 1 x 940 ) / 940
GCD(1, 940) = 940 / 940
GCD(1, 940) = 1
GCD of 398, 120, 27, 940 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 398, 120, 27, 940?
GCD of 398, 120, 27, 940 is 1
2. Where do I get the detailed procedure to find GCD of 398, 120, 27, 940?
You can find a detailed procedure to find GCD of 398, 120, 27, 940 on our page.
3. How to find GCD of 398, 120, 27, 940 on a calculator?
You can find the GCD of 398, 120, 27, 940 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.