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, 584, 51, 116 i.e. 1 largest integer that divides all the numbers equally.
GCD of 848, 584, 51, 116 is 1
GCD(848, 584, 51, 116) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 848, 584, 51, 116 is 1
GCD(848, 584, 51, 116) = 1
Given Input numbers are 848, 584, 51, 116
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 584
List of positive integer divisors of 584 that divides 584 without a remainder.
1, 2, 4, 8, 73, 146, 292, 584
Divisors of 51
List of positive integer divisors of 51 that divides 51 without a remainder.
1, 3, 17, 51
Divisors of 116
List of positive integer divisors of 116 that divides 116 without a remainder.
1, 2, 4, 29, 58, 116
Greatest Common Divisior
We found the divisors of 848, 584, 51, 116 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 848, 584, 51, 116 is 1.
Therefore, GCD of numbers 848, 584, 51, 116 is 1
Given Input Data is 848, 584, 51, 116
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 584 is 2 x 2 x 2 x 73
Prime Factorization of 51 is 3 x 17
Prime Factorization of 116 is 2 x 2 x 29
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, 584) = 61904
GCD(848, 584) = ( 848 x 584 ) / 61904
GCD(848, 584) = 495232 / 61904
GCD(848, 584) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 51
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 51) = 408
GCD(8, 51) = ( 8 x 51 ) / 408
GCD(8, 51) = 408 / 408
GCD(8, 51) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 116
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 116) = 116
GCD(1, 116) = ( 1 x 116 ) / 116
GCD(1, 116) = 116 / 116
GCD(1, 116) = 1
GCD of 848, 584, 51, 116 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 848, 584, 51, 116?
GCD of 848, 584, 51, 116 is 1
2. Where do I get the detailed procedure to find GCD of 848, 584, 51, 116?
You can find a detailed procedure to find GCD of 848, 584, 51, 116 on our page.
3. How to find GCD of 848, 584, 51, 116 on a calculator?
You can find the GCD of 848, 584, 51, 116 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.