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, 872, 798, 632 i.e. 2 largest integer that divides all the numbers equally.
GCD of 848, 872, 798, 632 is 2
GCD(848, 872, 798, 632) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 848, 872, 798, 632 is 2
GCD(848, 872, 798, 632) = 2
Given Input numbers are 848, 872, 798, 632
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 872
List of positive integer divisors of 872 that divides 872 without a remainder.
1, 2, 4, 8, 109, 218, 436, 872
Divisors of 798
List of positive integer divisors of 798 that divides 798 without a remainder.
1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
Divisors of 632
List of positive integer divisors of 632 that divides 632 without a remainder.
1, 2, 4, 8, 79, 158, 316, 632
Greatest Common Divisior
We found the divisors of 848, 872, 798, 632 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 848, 872, 798, 632 is 2.
Therefore, GCD of numbers 848, 872, 798, 632 is 2
Given Input Data is 848, 872, 798, 632
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 872 is 2 x 2 x 2 x 109
Prime Factorization of 798 is 2 x 3 x 7 x 19
Prime Factorization of 632 is 2 x 2 x 2 x 79
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, 872) = 92432
GCD(848, 872) = ( 848 x 872 ) / 92432
GCD(848, 872) = 739456 / 92432
GCD(848, 872) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 798
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 798) = 3192
GCD(8, 798) = ( 8 x 798 ) / 3192
GCD(8, 798) = 6384 / 3192
GCD(8, 798) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 632
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 632) = 632
GCD(2, 632) = ( 2 x 632 ) / 632
GCD(2, 632) = 1264 / 632
GCD(2, 632) = 2
GCD of 848, 872, 798, 632 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 848, 872, 798, 632?
GCD of 848, 872, 798, 632 is 2
2. Where do I get the detailed procedure to find GCD of 848, 872, 798, 632?
You can find a detailed procedure to find GCD of 848, 872, 798, 632 on our page.
3. How to find GCD of 848, 872, 798, 632 on a calculator?
You can find the GCD of 848, 872, 798, 632 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.