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 115, 845, 749, 345 i.e. 1 largest integer that divides all the numbers equally.
GCD of 115, 845, 749, 345 is 1
GCD(115, 845, 749, 345) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 115, 845, 749, 345 is 1
GCD(115, 845, 749, 345) = 1
Given Input numbers are 115, 845, 749, 345
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 115
List of positive integer divisors of 115 that divides 115 without a remainder.
1, 5, 23, 115
Divisors of 845
List of positive integer divisors of 845 that divides 845 without a remainder.
1, 5, 13, 65, 169, 845
Divisors of 749
List of positive integer divisors of 749 that divides 749 without a remainder.
1, 7, 107, 749
Divisors of 345
List of positive integer divisors of 345 that divides 345 without a remainder.
1, 3, 5, 15, 23, 69, 115, 345
Greatest Common Divisior
We found the divisors of 115, 845, 749, 345 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 115, 845, 749, 345 is 1.
Therefore, GCD of numbers 115, 845, 749, 345 is 1
Given Input Data is 115, 845, 749, 345
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 115 is 5 x 23
Prime Factorization of 845 is 5 x 13 x 13
Prime Factorization of 749 is 7 x 107
Prime Factorization of 345 is 3 x 5 x 23
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(115, 845) = 19435
GCD(115, 845) = ( 115 x 845 ) / 19435
GCD(115, 845) = 97175 / 19435
GCD(115, 845) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 749
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 749) = 3745
GCD(5, 749) = ( 5 x 749 ) / 3745
GCD(5, 749) = 3745 / 3745
GCD(5, 749) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 345
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 345) = 345
GCD(1, 345) = ( 1 x 345 ) / 345
GCD(1, 345) = 345 / 345
GCD(1, 345) = 1
GCD of 115, 845, 749, 345 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 115, 845, 749, 345?
GCD of 115, 845, 749, 345 is 1
2. Where do I get the detailed procedure to find GCD of 115, 845, 749, 345?
You can find a detailed procedure to find GCD of 115, 845, 749, 345 on our page.
3. How to find GCD of 115, 845, 749, 345 on a calculator?
You can find the GCD of 115, 845, 749, 345 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.