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 370, 116, 223, 105 i.e. 1 largest integer that divides all the numbers equally.
GCD of 370, 116, 223, 105 is 1
GCD(370, 116, 223, 105) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 370, 116, 223, 105 is 1
GCD(370, 116, 223, 105) = 1
Given Input numbers are 370, 116, 223, 105
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 370
List of positive integer divisors of 370 that divides 370 without a remainder.
1, 2, 5, 10, 37, 74, 185, 370
Divisors of 116
List of positive integer divisors of 116 that divides 116 without a remainder.
1, 2, 4, 29, 58, 116
Divisors of 223
List of positive integer divisors of 223 that divides 223 without a remainder.
1, 223
Divisors of 105
List of positive integer divisors of 105 that divides 105 without a remainder.
1, 3, 5, 7, 15, 21, 35, 105
Greatest Common Divisior
We found the divisors of 370, 116, 223, 105 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 370, 116, 223, 105 is 1.
Therefore, GCD of numbers 370, 116, 223, 105 is 1
Given Input Data is 370, 116, 223, 105
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 370 is 2 x 5 x 37
Prime Factorization of 116 is 2 x 2 x 29
Prime Factorization of 223 is 223
Prime Factorization of 105 is 3 x 5 x 7
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(370, 116) = 21460
GCD(370, 116) = ( 370 x 116 ) / 21460
GCD(370, 116) = 42920 / 21460
GCD(370, 116) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 223
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 223) = 446
GCD(2, 223) = ( 2 x 223 ) / 446
GCD(2, 223) = 446 / 446
GCD(2, 223) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 105
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 105) = 105
GCD(1, 105) = ( 1 x 105 ) / 105
GCD(1, 105) = 105 / 105
GCD(1, 105) = 1
GCD of 370, 116, 223, 105 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 370, 116, 223, 105?
GCD of 370, 116, 223, 105 is 1
2. Where do I get the detailed procedure to find GCD of 370, 116, 223, 105?
You can find a detailed procedure to find GCD of 370, 116, 223, 105 on our page.
3. How to find GCD of 370, 116, 223, 105 on a calculator?
You can find the GCD of 370, 116, 223, 105 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.