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 310, 882, 395, 952 i.e. 1 largest integer that divides all the numbers equally.
GCD of 310, 882, 395, 952 is 1
GCD(310, 882, 395, 952) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 310, 882, 395, 952 is 1
GCD(310, 882, 395, 952) = 1
Given Input numbers are 310, 882, 395, 952
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 310
List of positive integer divisors of 310 that divides 310 without a remainder.
1, 2, 5, 10, 31, 62, 155, 310
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 395
List of positive integer divisors of 395 that divides 395 without a remainder.
1, 5, 79, 395
Divisors of 952
List of positive integer divisors of 952 that divides 952 without a remainder.
1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
Greatest Common Divisior
We found the divisors of 310, 882, 395, 952 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 310, 882, 395, 952 is 1.
Therefore, GCD of numbers 310, 882, 395, 952 is 1
Given Input Data is 310, 882, 395, 952
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 310 is 2 x 5 x 31
Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7
Prime Factorization of 395 is 5 x 79
Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17
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(310, 882) = 136710
GCD(310, 882) = ( 310 x 882 ) / 136710
GCD(310, 882) = 273420 / 136710
GCD(310, 882) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 395
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 395) = 790
GCD(2, 395) = ( 2 x 395 ) / 790
GCD(2, 395) = 790 / 790
GCD(2, 395) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 952
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 952) = 952
GCD(1, 952) = ( 1 x 952 ) / 952
GCD(1, 952) = 952 / 952
GCD(1, 952) = 1
GCD of 310, 882, 395, 952 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 310, 882, 395, 952?
GCD of 310, 882, 395, 952 is 1
2. Where do I get the detailed procedure to find GCD of 310, 882, 395, 952?
You can find a detailed procedure to find GCD of 310, 882, 395, 952 on our page.
3. How to find GCD of 310, 882, 395, 952 on a calculator?
You can find the GCD of 310, 882, 395, 952 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.