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, 756, 47, 158 i.e. 1 largest integer that divides all the numbers equally.
GCD of 730, 756, 47, 158 is 1
GCD(730, 756, 47, 158) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 730, 756, 47, 158 is 1
GCD(730, 756, 47, 158) = 1
Given Input numbers are 730, 756, 47, 158
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 756
List of positive integer divisors of 756 that divides 756 without a remainder.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
Divisors of 47
List of positive integer divisors of 47 that divides 47 without a remainder.
1, 47
Divisors of 158
List of positive integer divisors of 158 that divides 158 without a remainder.
1, 2, 79, 158
Greatest Common Divisior
We found the divisors of 730, 756, 47, 158 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 730, 756, 47, 158 is 1.
Therefore, GCD of numbers 730, 756, 47, 158 is 1
Given Input Data is 730, 756, 47, 158
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 756 is 2 x 2 x 3 x 3 x 3 x 7
Prime Factorization of 47 is 47
Prime Factorization of 158 is 2 x 79
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, 756) = 275940
GCD(730, 756) = ( 730 x 756 ) / 275940
GCD(730, 756) = 551880 / 275940
GCD(730, 756) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 47
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 47) = 94
GCD(2, 47) = ( 2 x 47 ) / 94
GCD(2, 47) = 94 / 94
GCD(2, 47) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 158
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 158) = 158
GCD(1, 158) = ( 1 x 158 ) / 158
GCD(1, 158) = 158 / 158
GCD(1, 158) = 1
GCD of 730, 756, 47, 158 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 730, 756, 47, 158?
GCD of 730, 756, 47, 158 is 1
2. Where do I get the detailed procedure to find GCD of 730, 756, 47, 158?
You can find a detailed procedure to find GCD of 730, 756, 47, 158 on our page.
3. How to find GCD of 730, 756, 47, 158 on a calculator?
You can find the GCD of 730, 756, 47, 158 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.