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, 592, 847 i.e. 1 largest integer that divides all the numbers equally.
GCD of 752, 592, 847 is 1
GCD(752, 592, 847) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 752, 592, 847 is 1
GCD(752, 592, 847) = 1
Given Input numbers are 752, 592, 847
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 592
List of positive integer divisors of 592 that divides 592 without a remainder.
1, 2, 4, 8, 16, 37, 74, 148, 296, 592
Divisors of 847
List of positive integer divisors of 847 that divides 847 without a remainder.
1, 7, 11, 77, 121, 847
Greatest Common Divisior
We found the divisors of 752, 592, 847 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 752, 592, 847 is 1.
Therefore, GCD of numbers 752, 592, 847 is 1
Given Input Data is 752, 592, 847
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 592 is 2 x 2 x 2 x 2 x 37
Prime Factorization of 847 is 7 x 11 x 11
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, 592) = 27824
GCD(752, 592) = ( 752 x 592 ) / 27824
GCD(752, 592) = 445184 / 27824
GCD(752, 592) = 16
Step2:
Here we consider the GCD from the above i.e. 16 as first number and the next as 847
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(16, 847) = 13552
GCD(16, 847) = ( 16 x 847 ) / 13552
GCD(16, 847) = 13552 / 13552
GCD(16, 847) = 1
GCD of 752, 592, 847 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 752, 592, 847?
GCD of 752, 592, 847 is 1
2. Where do I get the detailed procedure to find GCD of 752, 592, 847?
You can find a detailed procedure to find GCD of 752, 592, 847 on our page.
3. How to find GCD of 752, 592, 847 on a calculator?
You can find the GCD of 752, 592, 847 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.