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 848, 114, 374, 990 i.e. 2 largest integer that divides all the numbers equally.
GCD of 848, 114, 374, 990 is 2
GCD(848, 114, 374, 990) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 848, 114, 374, 990 is 2
GCD(848, 114, 374, 990) = 2
Given Input numbers are 848, 114, 374, 990
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 848
List of positive integer divisors of 848 that divides 848 without a remainder.
1, 2, 4, 8, 16, 53, 106, 212, 424, 848
Divisors of 114
List of positive integer divisors of 114 that divides 114 without a remainder.
1, 2, 3, 6, 19, 38, 57, 114
Divisors of 374
List of positive integer divisors of 374 that divides 374 without a remainder.
1, 2, 11, 17, 22, 34, 187, 374
Divisors of 990
List of positive integer divisors of 990 that divides 990 without a remainder.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
Greatest Common Divisior
We found the divisors of 848, 114, 374, 990 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 848, 114, 374, 990 is 2.
Therefore, GCD of numbers 848, 114, 374, 990 is 2
Given Input Data is 848, 114, 374, 990
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53
Prime Factorization of 114 is 2 x 3 x 19
Prime Factorization of 374 is 2 x 11 x 17
Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(848, 114) = 48336
GCD(848, 114) = ( 848 x 114 ) / 48336
GCD(848, 114) = 96672 / 48336
GCD(848, 114) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 374
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 374) = 374
GCD(2, 374) = ( 2 x 374 ) / 374
GCD(2, 374) = 748 / 374
GCD(2, 374) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 990
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 990) = 990
GCD(2, 990) = ( 2 x 990 ) / 990
GCD(2, 990) = 1980 / 990
GCD(2, 990) = 2
GCD of 848, 114, 374, 990 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 848, 114, 374, 990?
GCD of 848, 114, 374, 990 is 2
2. Where do I get the detailed procedure to find GCD of 848, 114, 374, 990?
You can find a detailed procedure to find GCD of 848, 114, 374, 990 on our page.
3. How to find GCD of 848, 114, 374, 990 on a calculator?
You can find the GCD of 848, 114, 374, 990 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.