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 72, 316, 741, 730 i.e. 1 largest integer that divides all the numbers equally.
GCD of 72, 316, 741, 730 is 1
GCD(72, 316, 741, 730) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 72, 316, 741, 730 is 1
GCD(72, 316, 741, 730) = 1
Given Input numbers are 72, 316, 741, 730
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 316
List of positive integer divisors of 316 that divides 316 without a remainder.
1, 2, 4, 79, 158, 316
Divisors of 741
List of positive integer divisors of 741 that divides 741 without a remainder.
1, 3, 13, 19, 39, 57, 247, 741
Divisors of 730
List of positive integer divisors of 730 that divides 730 without a remainder.
1, 2, 5, 10, 73, 146, 365, 730
Greatest Common Divisior
We found the divisors of 72, 316, 741, 730 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 316, 741, 730 is 1.
Therefore, GCD of numbers 72, 316, 741, 730 is 1
Given Input Data is 72, 316, 741, 730
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 316 is 2 x 2 x 79
Prime Factorization of 741 is 3 x 13 x 19
Prime Factorization of 730 is 2 x 5 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(72, 316) = 5688
GCD(72, 316) = ( 72 x 316 ) / 5688
GCD(72, 316) = 22752 / 5688
GCD(72, 316) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 741
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 741) = 2964
GCD(4, 741) = ( 4 x 741 ) / 2964
GCD(4, 741) = 2964 / 2964
GCD(4, 741) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 730
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 730) = 730
GCD(1, 730) = ( 1 x 730 ) / 730
GCD(1, 730) = 730 / 730
GCD(1, 730) = 1
GCD of 72, 316, 741, 730 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 72, 316, 741, 730?
GCD of 72, 316, 741, 730 is 1
2. Where do I get the detailed procedure to find GCD of 72, 316, 741, 730?
You can find a detailed procedure to find GCD of 72, 316, 741, 730 on our page.
3. How to find GCD of 72, 316, 741, 730 on a calculator?
You can find the GCD of 72, 316, 741, 730 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.