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 739, 460, 130, 915 i.e. 1 largest integer that divides all the numbers equally.
GCD of 739, 460, 130, 915 is 1
GCD(739, 460, 130, 915) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 739, 460, 130, 915 is 1
GCD(739, 460, 130, 915) = 1
Given Input numbers are 739, 460, 130, 915
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 739
List of positive integer divisors of 739 that divides 739 without a remainder.
1, 739
Divisors of 460
List of positive integer divisors of 460 that divides 460 without a remainder.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
Divisors of 130
List of positive integer divisors of 130 that divides 130 without a remainder.
1, 2, 5, 10, 13, 26, 65, 130
Divisors of 915
List of positive integer divisors of 915 that divides 915 without a remainder.
1, 3, 5, 15, 61, 183, 305, 915
Greatest Common Divisior
We found the divisors of 739, 460, 130, 915 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 739, 460, 130, 915 is 1.
Therefore, GCD of numbers 739, 460, 130, 915 is 1
Given Input Data is 739, 460, 130, 915
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 739 is 739
Prime Factorization of 460 is 2 x 2 x 5 x 23
Prime Factorization of 130 is 2 x 5 x 13
Prime Factorization of 915 is 3 x 5 x 61
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(739, 460) = 339940
GCD(739, 460) = ( 739 x 460 ) / 339940
GCD(739, 460) = 339940 / 339940
GCD(739, 460) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 130
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 130) = 130
GCD(1, 130) = ( 1 x 130 ) / 130
GCD(1, 130) = 130 / 130
GCD(1, 130) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 915
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 915) = 915
GCD(1, 915) = ( 1 x 915 ) / 915
GCD(1, 915) = 915 / 915
GCD(1, 915) = 1
GCD of 739, 460, 130, 915 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 739, 460, 130, 915?
GCD of 739, 460, 130, 915 is 1
2. Where do I get the detailed procedure to find GCD of 739, 460, 130, 915?
You can find a detailed procedure to find GCD of 739, 460, 130, 915 on our page.
3. How to find GCD of 739, 460, 130, 915 on a calculator?
You can find the GCD of 739, 460, 130, 915 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.