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, 703, 382, 930 i.e. 1 largest integer that divides all the numbers equally.
GCD of 72, 703, 382, 930 is 1
GCD(72, 703, 382, 930) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 72, 703, 382, 930 is 1
GCD(72, 703, 382, 930) = 1
Given Input numbers are 72, 703, 382, 930
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 703
List of positive integer divisors of 703 that divides 703 without a remainder.
1, 19, 37, 703
Divisors of 382
List of positive integer divisors of 382 that divides 382 without a remainder.
1, 2, 191, 382
Divisors of 930
List of positive integer divisors of 930 that divides 930 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
Greatest Common Divisior
We found the divisors of 72, 703, 382, 930 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 703, 382, 930 is 1.
Therefore, GCD of numbers 72, 703, 382, 930 is 1
Given Input Data is 72, 703, 382, 930
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 703 is 19 x 37
Prime Factorization of 382 is 2 x 191
Prime Factorization of 930 is 2 x 3 x 5 x 31
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, 703) = 50616
GCD(72, 703) = ( 72 x 703 ) / 50616
GCD(72, 703) = 50616 / 50616
GCD(72, 703) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 382
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 382) = 382
GCD(1, 382) = ( 1 x 382 ) / 382
GCD(1, 382) = 382 / 382
GCD(1, 382) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 930
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 930) = 930
GCD(1, 930) = ( 1 x 930 ) / 930
GCD(1, 930) = 930 / 930
GCD(1, 930) = 1
GCD of 72, 703, 382, 930 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 72, 703, 382, 930?
GCD of 72, 703, 382, 930 is 1
2. Where do I get the detailed procedure to find GCD of 72, 703, 382, 930?
You can find a detailed procedure to find GCD of 72, 703, 382, 930 on our page.
3. How to find GCD of 72, 703, 382, 930 on a calculator?
You can find the GCD of 72, 703, 382, 930 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.