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 249, 799, 940, 942 i.e. 1 largest integer that divides all the numbers equally.
GCD of 249, 799, 940, 942 is 1
GCD(249, 799, 940, 942) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 249, 799, 940, 942 is 1
GCD(249, 799, 940, 942) = 1
Given Input numbers are 249, 799, 940, 942
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 249
List of positive integer divisors of 249 that divides 249 without a remainder.
1, 3, 83, 249
Divisors of 799
List of positive integer divisors of 799 that divides 799 without a remainder.
1, 17, 47, 799
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
Divisors of 942
List of positive integer divisors of 942 that divides 942 without a remainder.
1, 2, 3, 6, 157, 314, 471, 942
Greatest Common Divisior
We found the divisors of 249, 799, 940, 942 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 249, 799, 940, 942 is 1.
Therefore, GCD of numbers 249, 799, 940, 942 is 1
Given Input Data is 249, 799, 940, 942
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 249 is 3 x 83
Prime Factorization of 799 is 17 x 47
Prime Factorization of 940 is 2 x 2 x 5 x 47
Prime Factorization of 942 is 2 x 3 x 157
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(249, 799) = 198951
GCD(249, 799) = ( 249 x 799 ) / 198951
GCD(249, 799) = 198951 / 198951
GCD(249, 799) = 1
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 942
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 942) = 942
GCD(1, 942) = ( 1 x 942 ) / 942
GCD(1, 942) = 942 / 942
GCD(1, 942) = 1
GCD of 249, 799, 940, 942 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 249, 799, 940, 942?
GCD of 249, 799, 940, 942 is 1
2. Where do I get the detailed procedure to find GCD of 249, 799, 940, 942?
You can find a detailed procedure to find GCD of 249, 799, 940, 942 on our page.
3. How to find GCD of 249, 799, 940, 942 on a calculator?
You can find the GCD of 249, 799, 940, 942 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.