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 752, 893, 359, 865 i.e. 1 largest integer that divides all the numbers equally.
GCD of 752, 893, 359, 865 is 1
GCD(752, 893, 359, 865) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 752, 893, 359, 865 is 1
GCD(752, 893, 359, 865) = 1
Given Input numbers are 752, 893, 359, 865
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 752
List of positive integer divisors of 752 that divides 752 without a remainder.
1, 2, 4, 8, 16, 47, 94, 188, 376, 752
Divisors of 893
List of positive integer divisors of 893 that divides 893 without a remainder.
1, 19, 47, 893
Divisors of 359
List of positive integer divisors of 359 that divides 359 without a remainder.
1, 359
Divisors of 865
List of positive integer divisors of 865 that divides 865 without a remainder.
1, 5, 173, 865
Greatest Common Divisior
We found the divisors of 752, 893, 359, 865 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 752, 893, 359, 865 is 1.
Therefore, GCD of numbers 752, 893, 359, 865 is 1
Given Input Data is 752, 893, 359, 865
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47
Prime Factorization of 893 is 19 x 47
Prime Factorization of 359 is 359
Prime Factorization of 865 is 5 x 173
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(752, 893) = 14288
GCD(752, 893) = ( 752 x 893 ) / 14288
GCD(752, 893) = 671536 / 14288
GCD(752, 893) = 47
Step2:
Here we consider the GCD from the above i.e. 47 as first number and the next as 359
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(47, 359) = 16873
GCD(47, 359) = ( 47 x 359 ) / 16873
GCD(47, 359) = 16873 / 16873
GCD(47, 359) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 865
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 865) = 865
GCD(1, 865) = ( 1 x 865 ) / 865
GCD(1, 865) = 865 / 865
GCD(1, 865) = 1
GCD of 752, 893, 359, 865 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 752, 893, 359, 865?
GCD of 752, 893, 359, 865 is 1
2. Where do I get the detailed procedure to find GCD of 752, 893, 359, 865?
You can find a detailed procedure to find GCD of 752, 893, 359, 865 on our page.
3. How to find GCD of 752, 893, 359, 865 on a calculator?
You can find the GCD of 752, 893, 359, 865 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.