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 930, 540, 189, 737 i.e. 1 largest integer that divides all the numbers equally.
GCD of 930, 540, 189, 737 is 1
GCD(930, 540, 189, 737) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 930, 540, 189, 737 is 1
GCD(930, 540, 189, 737) = 1
Given Input numbers are 930, 540, 189, 737
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 540
List of positive integer divisors of 540 that divides 540 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
Divisors of 189
List of positive integer divisors of 189 that divides 189 without a remainder.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 737
List of positive integer divisors of 737 that divides 737 without a remainder.
1, 11, 67, 737
Greatest Common Divisior
We found the divisors of 930, 540, 189, 737 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 930, 540, 189, 737 is 1.
Therefore, GCD of numbers 930, 540, 189, 737 is 1
Given Input Data is 930, 540, 189, 737
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 930 is 2 x 3 x 5 x 31
Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5
Prime Factorization of 189 is 3 x 3 x 3 x 7
Prime Factorization of 737 is 11 x 67
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(930, 540) = 16740
GCD(930, 540) = ( 930 x 540 ) / 16740
GCD(930, 540) = 502200 / 16740
GCD(930, 540) = 30
Step2:
Here we consider the GCD from the above i.e. 30 as first number and the next as 189
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(30, 189) = 1890
GCD(30, 189) = ( 30 x 189 ) / 1890
GCD(30, 189) = 5670 / 1890
GCD(30, 189) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 737
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 737) = 2211
GCD(3, 737) = ( 3 x 737 ) / 2211
GCD(3, 737) = 2211 / 2211
GCD(3, 737) = 1
GCD of 930, 540, 189, 737 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 930, 540, 189, 737?
GCD of 930, 540, 189, 737 is 1
2. Where do I get the detailed procedure to find GCD of 930, 540, 189, 737?
You can find a detailed procedure to find GCD of 930, 540, 189, 737 on our page.
3. How to find GCD of 930, 540, 189, 737 on a calculator?
You can find the GCD of 930, 540, 189, 737 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.