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 730, 801, 109, 146 i.e. 1 largest integer that divides all the numbers equally.
GCD of 730, 801, 109, 146 is 1
GCD(730, 801, 109, 146) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 730, 801, 109, 146 is 1
GCD(730, 801, 109, 146) = 1
Given Input numbers are 730, 801, 109, 146
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 730
List of positive integer divisors of 730 that divides 730 without a remainder.
1, 2, 5, 10, 73, 146, 365, 730
Divisors of 801
List of positive integer divisors of 801 that divides 801 without a remainder.
1, 3, 9, 89, 267, 801
Divisors of 109
List of positive integer divisors of 109 that divides 109 without a remainder.
1, 109
Divisors of 146
List of positive integer divisors of 146 that divides 146 without a remainder.
1, 2, 73, 146
Greatest Common Divisior
We found the divisors of 730, 801, 109, 146 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 730, 801, 109, 146 is 1.
Therefore, GCD of numbers 730, 801, 109, 146 is 1
Given Input Data is 730, 801, 109, 146
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 730 is 2 x 5 x 73
Prime Factorization of 801 is 3 x 3 x 89
Prime Factorization of 109 is 109
Prime Factorization of 146 is 2 x 73
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(730, 801) = 584730
GCD(730, 801) = ( 730 x 801 ) / 584730
GCD(730, 801) = 584730 / 584730
GCD(730, 801) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 109
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 109) = 109
GCD(1, 109) = ( 1 x 109 ) / 109
GCD(1, 109) = 109 / 109
GCD(1, 109) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 146
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 146) = 146
GCD(1, 146) = ( 1 x 146 ) / 146
GCD(1, 146) = 146 / 146
GCD(1, 146) = 1
GCD of 730, 801, 109, 146 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 730, 801, 109, 146?
GCD of 730, 801, 109, 146 is 1
2. Where do I get the detailed procedure to find GCD of 730, 801, 109, 146?
You can find a detailed procedure to find GCD of 730, 801, 109, 146 on our page.
3. How to find GCD of 730, 801, 109, 146 on a calculator?
You can find the GCD of 730, 801, 109, 146 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.