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, 626, 34, 966 i.e. 2 largest integer that divides all the numbers equally.
GCD of 848, 626, 34, 966 is 2
GCD(848, 626, 34, 966) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 848, 626, 34, 966 is 2
GCD(848, 626, 34, 966) = 2
Given Input numbers are 848, 626, 34, 966
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 626
List of positive integer divisors of 626 that divides 626 without a remainder.
1, 2, 313, 626
Divisors of 34
List of positive integer divisors of 34 that divides 34 without a remainder.
1, 2, 17, 34
Divisors of 966
List of positive integer divisors of 966 that divides 966 without a remainder.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
Greatest Common Divisior
We found the divisors of 848, 626, 34, 966 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 848, 626, 34, 966 is 2.
Therefore, GCD of numbers 848, 626, 34, 966 is 2
Given Input Data is 848, 626, 34, 966
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 626 is 2 x 313
Prime Factorization of 34 is 2 x 17
Prime Factorization of 966 is 2 x 3 x 7 x 23
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, 626) = 265424
GCD(848, 626) = ( 848 x 626 ) / 265424
GCD(848, 626) = 530848 / 265424
GCD(848, 626) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 34
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 34) = 34
GCD(2, 34) = ( 2 x 34 ) / 34
GCD(2, 34) = 68 / 34
GCD(2, 34) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 966
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 966) = 966
GCD(2, 966) = ( 2 x 966 ) / 966
GCD(2, 966) = 1932 / 966
GCD(2, 966) = 2
GCD of 848, 626, 34, 966 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 848, 626, 34, 966?
GCD of 848, 626, 34, 966 is 2
2. Where do I get the detailed procedure to find GCD of 848, 626, 34, 966?
You can find a detailed procedure to find GCD of 848, 626, 34, 966 on our page.
3. How to find GCD of 848, 626, 34, 966 on a calculator?
You can find the GCD of 848, 626, 34, 966 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.