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 856, 708, 994, 244 i.e. 2 largest integer that divides all the numbers equally.
GCD of 856, 708, 994, 244 is 2
GCD(856, 708, 994, 244) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 856, 708, 994, 244 is 2
GCD(856, 708, 994, 244) = 2
Given Input numbers are 856, 708, 994, 244
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 856
List of positive integer divisors of 856 that divides 856 without a remainder.
1, 2, 4, 8, 107, 214, 428, 856
Divisors of 708
List of positive integer divisors of 708 that divides 708 without a remainder.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
Divisors of 994
List of positive integer divisors of 994 that divides 994 without a remainder.
1, 2, 7, 14, 71, 142, 497, 994
Divisors of 244
List of positive integer divisors of 244 that divides 244 without a remainder.
1, 2, 4, 61, 122, 244
Greatest Common Divisior
We found the divisors of 856, 708, 994, 244 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 856, 708, 994, 244 is 2.
Therefore, GCD of numbers 856, 708, 994, 244 is 2
Given Input Data is 856, 708, 994, 244
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 856 is 2 x 2 x 2 x 107
Prime Factorization of 708 is 2 x 2 x 3 x 59
Prime Factorization of 994 is 2 x 7 x 71
Prime Factorization of 244 is 2 x 2 x 61
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(856, 708) = 151512
GCD(856, 708) = ( 856 x 708 ) / 151512
GCD(856, 708) = 606048 / 151512
GCD(856, 708) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 994
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 994) = 1988
GCD(4, 994) = ( 4 x 994 ) / 1988
GCD(4, 994) = 3976 / 1988
GCD(4, 994) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 244
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 244) = 244
GCD(2, 244) = ( 2 x 244 ) / 244
GCD(2, 244) = 488 / 244
GCD(2, 244) = 2
GCD of 856, 708, 994, 244 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 856, 708, 994, 244?
GCD of 856, 708, 994, 244 is 2
2. Where do I get the detailed procedure to find GCD of 856, 708, 994, 244?
You can find a detailed procedure to find GCD of 856, 708, 994, 244 on our page.
3. How to find GCD of 856, 708, 994, 244 on a calculator?
You can find the GCD of 856, 708, 994, 244 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.