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, 482, 525, 379 i.e. 1 largest integer that divides all the numbers equally.
GCD of 310, 482, 525, 379 is 1
GCD(310, 482, 525, 379) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 310, 482, 525, 379 is 1
GCD(310, 482, 525, 379) = 1
Given Input numbers are 310, 482, 525, 379
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 482
List of positive integer divisors of 482 that divides 482 without a remainder.
1, 2, 241, 482
Divisors of 525
List of positive integer divisors of 525 that divides 525 without a remainder.
1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
Divisors of 379
List of positive integer divisors of 379 that divides 379 without a remainder.
1, 379
Greatest Common Divisior
We found the divisors of 310, 482, 525, 379 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 310, 482, 525, 379 is 1.
Therefore, GCD of numbers 310, 482, 525, 379 is 1
Given Input Data is 310, 482, 525, 379
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 482 is 2 x 241
Prime Factorization of 525 is 3 x 5 x 5 x 7
Prime Factorization of 379 is 379
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, 482) = 74710
GCD(310, 482) = ( 310 x 482 ) / 74710
GCD(310, 482) = 149420 / 74710
GCD(310, 482) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 525
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 525) = 1050
GCD(2, 525) = ( 2 x 525 ) / 1050
GCD(2, 525) = 1050 / 1050
GCD(2, 525) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 379
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 379) = 379
GCD(1, 379) = ( 1 x 379 ) / 379
GCD(1, 379) = 379 / 379
GCD(1, 379) = 1
GCD of 310, 482, 525, 379 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 310, 482, 525, 379?
GCD of 310, 482, 525, 379 is 1
2. Where do I get the detailed procedure to find GCD of 310, 482, 525, 379?
You can find a detailed procedure to find GCD of 310, 482, 525, 379 on our page.
3. How to find GCD of 310, 482, 525, 379 on a calculator?
You can find the GCD of 310, 482, 525, 379 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.