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, 874, 41, 517 i.e. 1 largest integer that divides all the numbers equally.
GCD of 848, 874, 41, 517 is 1
GCD(848, 874, 41, 517) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 848, 874, 41, 517 is 1
GCD(848, 874, 41, 517) = 1
Given Input numbers are 848, 874, 41, 517
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 874
List of positive integer divisors of 874 that divides 874 without a remainder.
1, 2, 19, 23, 38, 46, 437, 874
Divisors of 41
List of positive integer divisors of 41 that divides 41 without a remainder.
1, 41
Divisors of 517
List of positive integer divisors of 517 that divides 517 without a remainder.
1, 11, 47, 517
Greatest Common Divisior
We found the divisors of 848, 874, 41, 517 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 848, 874, 41, 517 is 1.
Therefore, GCD of numbers 848, 874, 41, 517 is 1
Given Input Data is 848, 874, 41, 517
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 874 is 2 x 19 x 23
Prime Factorization of 41 is 41
Prime Factorization of 517 is 11 x 47
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(848, 874) = 370576
GCD(848, 874) = ( 848 x 874 ) / 370576
GCD(848, 874) = 741152 / 370576
GCD(848, 874) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 41
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 41) = 82
GCD(2, 41) = ( 2 x 41 ) / 82
GCD(2, 41) = 82 / 82
GCD(2, 41) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 517
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 517) = 517
GCD(1, 517) = ( 1 x 517 ) / 517
GCD(1, 517) = 517 / 517
GCD(1, 517) = 1
GCD of 848, 874, 41, 517 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 848, 874, 41, 517?
GCD of 848, 874, 41, 517 is 1
2. Where do I get the detailed procedure to find GCD of 848, 874, 41, 517?
You can find a detailed procedure to find GCD of 848, 874, 41, 517 on our page.
3. How to find GCD of 848, 874, 41, 517 on a calculator?
You can find the GCD of 848, 874, 41, 517 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.