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 942, 376, 842, 399 i.e. 1 largest integer that divides all the numbers equally.
GCD of 942, 376, 842, 399 is 1
GCD(942, 376, 842, 399) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 942, 376, 842, 399 is 1
GCD(942, 376, 842, 399) = 1
Given Input numbers are 942, 376, 842, 399
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 942
List of positive integer divisors of 942 that divides 942 without a remainder.
1, 2, 3, 6, 157, 314, 471, 942
Divisors of 376
List of positive integer divisors of 376 that divides 376 without a remainder.
1, 2, 4, 8, 47, 94, 188, 376
Divisors of 842
List of positive integer divisors of 842 that divides 842 without a remainder.
1, 2, 421, 842
Divisors of 399
List of positive integer divisors of 399 that divides 399 without a remainder.
1, 3, 7, 19, 21, 57, 133, 399
Greatest Common Divisior
We found the divisors of 942, 376, 842, 399 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 942, 376, 842, 399 is 1.
Therefore, GCD of numbers 942, 376, 842, 399 is 1
Given Input Data is 942, 376, 842, 399
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 942 is 2 x 3 x 157
Prime Factorization of 376 is 2 x 2 x 2 x 47
Prime Factorization of 842 is 2 x 421
Prime Factorization of 399 is 3 x 7 x 19
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(942, 376) = 177096
GCD(942, 376) = ( 942 x 376 ) / 177096
GCD(942, 376) = 354192 / 177096
GCD(942, 376) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 842
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 842) = 842
GCD(2, 842) = ( 2 x 842 ) / 842
GCD(2, 842) = 1684 / 842
GCD(2, 842) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 399
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 399) = 798
GCD(2, 399) = ( 2 x 399 ) / 798
GCD(2, 399) = 798 / 798
GCD(2, 399) = 1
GCD of 942, 376, 842, 399 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 942, 376, 842, 399?
GCD of 942, 376, 842, 399 is 1
2. Where do I get the detailed procedure to find GCD of 942, 376, 842, 399?
You can find a detailed procedure to find GCD of 942, 376, 842, 399 on our page.
3. How to find GCD of 942, 376, 842, 399 on a calculator?
You can find the GCD of 942, 376, 842, 399 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.