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 878, 402, 236, 848 i.e. 2 largest integer that divides all the numbers equally.
GCD of 878, 402, 236, 848 is 2
GCD(878, 402, 236, 848) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 878, 402, 236, 848 is 2
GCD(878, 402, 236, 848) = 2
Given Input numbers are 878, 402, 236, 848
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 878
List of positive integer divisors of 878 that divides 878 without a remainder.
1, 2, 439, 878
Divisors of 402
List of positive integer divisors of 402 that divides 402 without a remainder.
1, 2, 3, 6, 67, 134, 201, 402
Divisors of 236
List of positive integer divisors of 236 that divides 236 without a remainder.
1, 2, 4, 59, 118, 236
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
Greatest Common Divisior
We found the divisors of 878, 402, 236, 848 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 878, 402, 236, 848 is 2.
Therefore, GCD of numbers 878, 402, 236, 848 is 2
Given Input Data is 878, 402, 236, 848
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 878 is 2 x 439
Prime Factorization of 402 is 2 x 3 x 67
Prime Factorization of 236 is 2 x 2 x 59
Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53
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(878, 402) = 176478
GCD(878, 402) = ( 878 x 402 ) / 176478
GCD(878, 402) = 352956 / 176478
GCD(878, 402) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 236
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 236) = 236
GCD(2, 236) = ( 2 x 236 ) / 236
GCD(2, 236) = 472 / 236
GCD(2, 236) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 848
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 848) = 848
GCD(2, 848) = ( 2 x 848 ) / 848
GCD(2, 848) = 1696 / 848
GCD(2, 848) = 2
GCD of 878, 402, 236, 848 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 878, 402, 236, 848?
GCD of 878, 402, 236, 848 is 2
2. Where do I get the detailed procedure to find GCD of 878, 402, 236, 848?
You can find a detailed procedure to find GCD of 878, 402, 236, 848 on our page.
3. How to find GCD of 878, 402, 236, 848 on a calculator?
You can find the GCD of 878, 402, 236, 848 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.