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 58, 370, 109, 307 i.e. 1 largest integer that divides all the numbers equally.
GCD of 58, 370, 109, 307 is 1
GCD(58, 370, 109, 307) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 58, 370, 109, 307 is 1
GCD(58, 370, 109, 307) = 1
Given Input numbers are 58, 370, 109, 307
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 58
List of positive integer divisors of 58 that divides 58 without a remainder.
1, 2, 29, 58
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 109
List of positive integer divisors of 109 that divides 109 without a remainder.
1, 109
Divisors of 307
List of positive integer divisors of 307 that divides 307 without a remainder.
1, 307
Greatest Common Divisior
We found the divisors of 58, 370, 109, 307 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 370, 109, 307 is 1.
Therefore, GCD of numbers 58, 370, 109, 307 is 1
Given Input Data is 58, 370, 109, 307
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 58 is 2 x 29
Prime Factorization of 370 is 2 x 5 x 37
Prime Factorization of 109 is 109
Prime Factorization of 307 is 307
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(58, 370) = 10730
GCD(58, 370) = ( 58 x 370 ) / 10730
GCD(58, 370) = 21460 / 10730
GCD(58, 370) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 109
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 109) = 218
GCD(2, 109) = ( 2 x 109 ) / 218
GCD(2, 109) = 218 / 218
GCD(2, 109) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 307
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 307) = 307
GCD(1, 307) = ( 1 x 307 ) / 307
GCD(1, 307) = 307 / 307
GCD(1, 307) = 1
GCD of 58, 370, 109, 307 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 58, 370, 109, 307?
GCD of 58, 370, 109, 307 is 1
2. Where do I get the detailed procedure to find GCD of 58, 370, 109, 307?
You can find a detailed procedure to find GCD of 58, 370, 109, 307 on our page.
3. How to find GCD of 58, 370, 109, 307 on a calculator?
You can find the GCD of 58, 370, 109, 307 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.