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, 773, 363, 105 i.e. 1 largest integer that divides all the numbers equally.
GCD of 848, 773, 363, 105 is 1
GCD(848, 773, 363, 105) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 848, 773, 363, 105 is 1
GCD(848, 773, 363, 105) = 1
Given Input numbers are 848, 773, 363, 105
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 773
List of positive integer divisors of 773 that divides 773 without a remainder.
1, 773
Divisors of 363
List of positive integer divisors of 363 that divides 363 without a remainder.
1, 3, 11, 33, 121, 363
Divisors of 105
List of positive integer divisors of 105 that divides 105 without a remainder.
1, 3, 5, 7, 15, 21, 35, 105
Greatest Common Divisior
We found the divisors of 848, 773, 363, 105 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 848, 773, 363, 105 is 1.
Therefore, GCD of numbers 848, 773, 363, 105 is 1
Given Input Data is 848, 773, 363, 105
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 773 is 773
Prime Factorization of 363 is 3 x 11 x 11
Prime Factorization of 105 is 3 x 5 x 7
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, 773) = 655504
GCD(848, 773) = ( 848 x 773 ) / 655504
GCD(848, 773) = 655504 / 655504
GCD(848, 773) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 363
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 363) = 363
GCD(1, 363) = ( 1 x 363 ) / 363
GCD(1, 363) = 363 / 363
GCD(1, 363) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 105
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 105) = 105
GCD(1, 105) = ( 1 x 105 ) / 105
GCD(1, 105) = 105 / 105
GCD(1, 105) = 1
GCD of 848, 773, 363, 105 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 848, 773, 363, 105?
GCD of 848, 773, 363, 105 is 1
2. Where do I get the detailed procedure to find GCD of 848, 773, 363, 105?
You can find a detailed procedure to find GCD of 848, 773, 363, 105 on our page.
3. How to find GCD of 848, 773, 363, 105 on a calculator?
You can find the GCD of 848, 773, 363, 105 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.