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, 515, 882, 958 i.e. 1 largest integer that divides all the numbers equally.
GCD of 752, 515, 882, 958 is 1
GCD(752, 515, 882, 958) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 752, 515, 882, 958 is 1
GCD(752, 515, 882, 958) = 1
Given Input numbers are 752, 515, 882, 958
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 515
List of positive integer divisors of 515 that divides 515 without a remainder.
1, 5, 103, 515
Divisors of 882
List of positive integer divisors of 882 that divides 882 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
Divisors of 958
List of positive integer divisors of 958 that divides 958 without a remainder.
1, 2, 479, 958
Greatest Common Divisior
We found the divisors of 752, 515, 882, 958 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 752, 515, 882, 958 is 1.
Therefore, GCD of numbers 752, 515, 882, 958 is 1
Given Input Data is 752, 515, 882, 958
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 515 is 5 x 103
Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7
Prime Factorization of 958 is 2 x 479
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, 515) = 387280
GCD(752, 515) = ( 752 x 515 ) / 387280
GCD(752, 515) = 387280 / 387280
GCD(752, 515) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 882
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 882) = 882
GCD(1, 882) = ( 1 x 882 ) / 882
GCD(1, 882) = 882 / 882
GCD(1, 882) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 958
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 958) = 958
GCD(1, 958) = ( 1 x 958 ) / 958
GCD(1, 958) = 958 / 958
GCD(1, 958) = 1
GCD of 752, 515, 882, 958 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 752, 515, 882, 958?
GCD of 752, 515, 882, 958 is 1
2. Where do I get the detailed procedure to find GCD of 752, 515, 882, 958?
You can find a detailed procedure to find GCD of 752, 515, 882, 958 on our page.
3. How to find GCD of 752, 515, 882, 958 on a calculator?
You can find the GCD of 752, 515, 882, 958 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.