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 12, 874, 848, 400 i.e. 2 largest integer that divides all the numbers equally.
GCD of 12, 874, 848, 400 is 2
GCD(12, 874, 848, 400) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 12, 874, 848, 400 is 2
GCD(12, 874, 848, 400) = 2
Given Input numbers are 12, 874, 848, 400
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 12
List of positive integer divisors of 12 that divides 12 without a remainder.
1, 2, 3, 4, 6, 12
Divisors of 874
List of positive integer divisors of 874 that divides 874 without a remainder.
1, 2, 19, 23, 38, 46, 437, 874
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 400
List of positive integer divisors of 400 that divides 400 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Greatest Common Divisior
We found the divisors of 12, 874, 848, 400 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 12, 874, 848, 400 is 2.
Therefore, GCD of numbers 12, 874, 848, 400 is 2
Given Input Data is 12, 874, 848, 400
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 12 is 2 x 2 x 3
Prime Factorization of 874 is 2 x 19 x 23
Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53
Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5
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(12, 874) = 5244
GCD(12, 874) = ( 12 x 874 ) / 5244
GCD(12, 874) = 10488 / 5244
GCD(12, 874) = 2
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 400
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 400) = 400
GCD(2, 400) = ( 2 x 400 ) / 400
GCD(2, 400) = 800 / 400
GCD(2, 400) = 2
GCD of 12, 874, 848, 400 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 12, 874, 848, 400?
GCD of 12, 874, 848, 400 is 2
2. Where do I get the detailed procedure to find GCD of 12, 874, 848, 400?
You can find a detailed procedure to find GCD of 12, 874, 848, 400 on our page.
3. How to find GCD of 12, 874, 848, 400 on a calculator?
You can find the GCD of 12, 874, 848, 400 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.