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 474, 838, 43, 848 i.e. 1 largest integer that divides all the numbers equally.
GCD of 474, 838, 43, 848 is 1
GCD(474, 838, 43, 848) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 474, 838, 43, 848 is 1
GCD(474, 838, 43, 848) = 1
Given Input numbers are 474, 838, 43, 848
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 474
List of positive integer divisors of 474 that divides 474 without a remainder.
1, 2, 3, 6, 79, 158, 237, 474
Divisors of 838
List of positive integer divisors of 838 that divides 838 without a remainder.
1, 2, 419, 838
Divisors of 43
List of positive integer divisors of 43 that divides 43 without a remainder.
1, 43
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 474, 838, 43, 848 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 474, 838, 43, 848 is 1.
Therefore, GCD of numbers 474, 838, 43, 848 is 1
Given Input Data is 474, 838, 43, 848
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 474 is 2 x 3 x 79
Prime Factorization of 838 is 2 x 419
Prime Factorization of 43 is 43
Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53
The above numbers do not have any common prime factor. So GCD is 1
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(474, 838) = 198606
GCD(474, 838) = ( 474 x 838 ) / 198606
GCD(474, 838) = 397212 / 198606
GCD(474, 838) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 43
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 43) = 86
GCD(2, 43) = ( 2 x 43 ) / 86
GCD(2, 43) = 86 / 86
GCD(2, 43) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 848
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 848) = 848
GCD(1, 848) = ( 1 x 848 ) / 848
GCD(1, 848) = 848 / 848
GCD(1, 848) = 1
GCD of 474, 838, 43, 848 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 474, 838, 43, 848?
GCD of 474, 838, 43, 848 is 1
2. Where do I get the detailed procedure to find GCD of 474, 838, 43, 848?
You can find a detailed procedure to find GCD of 474, 838, 43, 848 on our page.
3. How to find GCD of 474, 838, 43, 848 on a calculator?
You can find the GCD of 474, 838, 43, 848 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.