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 316, 863, 748, 371 i.e. 1 largest integer that divides all the numbers equally.
GCD of 316, 863, 748, 371 is 1
GCD(316, 863, 748, 371) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 316, 863, 748, 371 is 1
GCD(316, 863, 748, 371) = 1
Given Input numbers are 316, 863, 748, 371
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 316
List of positive integer divisors of 316 that divides 316 without a remainder.
1, 2, 4, 79, 158, 316
Divisors of 863
List of positive integer divisors of 863 that divides 863 without a remainder.
1, 863
Divisors of 748
List of positive integer divisors of 748 that divides 748 without a remainder.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 371
List of positive integer divisors of 371 that divides 371 without a remainder.
1, 7, 53, 371
Greatest Common Divisior
We found the divisors of 316, 863, 748, 371 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 316, 863, 748, 371 is 1.
Therefore, GCD of numbers 316, 863, 748, 371 is 1
Given Input Data is 316, 863, 748, 371
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 316 is 2 x 2 x 79
Prime Factorization of 863 is 863
Prime Factorization of 748 is 2 x 2 x 11 x 17
Prime Factorization of 371 is 7 x 53
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(316, 863) = 272708
GCD(316, 863) = ( 316 x 863 ) / 272708
GCD(316, 863) = 272708 / 272708
GCD(316, 863) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 748
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 748) = 748
GCD(1, 748) = ( 1 x 748 ) / 748
GCD(1, 748) = 748 / 748
GCD(1, 748) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 371
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 371) = 371
GCD(1, 371) = ( 1 x 371 ) / 371
GCD(1, 371) = 371 / 371
GCD(1, 371) = 1
GCD of 316, 863, 748, 371 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 316, 863, 748, 371?
GCD of 316, 863, 748, 371 is 1
2. Where do I get the detailed procedure to find GCD of 316, 863, 748, 371?
You can find a detailed procedure to find GCD of 316, 863, 748, 371 on our page.
3. How to find GCD of 316, 863, 748, 371 on a calculator?
You can find the GCD of 316, 863, 748, 371 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.