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 153, 542, 930, 904 i.e. 1 largest integer that divides all the numbers equally.
GCD of 153, 542, 930, 904 is 1
GCD(153, 542, 930, 904) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 153, 542, 930, 904 is 1
GCD(153, 542, 930, 904) = 1
Given Input numbers are 153, 542, 930, 904
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 153
List of positive integer divisors of 153 that divides 153 without a remainder.
1, 3, 9, 17, 51, 153
Divisors of 542
List of positive integer divisors of 542 that divides 542 without a remainder.
1, 2, 271, 542
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 904
List of positive integer divisors of 904 that divides 904 without a remainder.
1, 2, 4, 8, 113, 226, 452, 904
Greatest Common Divisior
We found the divisors of 153, 542, 930, 904 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 153, 542, 930, 904 is 1.
Therefore, GCD of numbers 153, 542, 930, 904 is 1
Given Input Data is 153, 542, 930, 904
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 153 is 3 x 3 x 17
Prime Factorization of 542 is 2 x 271
Prime Factorization of 930 is 2 x 3 x 5 x 31
Prime Factorization of 904 is 2 x 2 x 2 x 113
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(153, 542) = 82926
GCD(153, 542) = ( 153 x 542 ) / 82926
GCD(153, 542) = 82926 / 82926
GCD(153, 542) = 1
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 904
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 904) = 904
GCD(1, 904) = ( 1 x 904 ) / 904
GCD(1, 904) = 904 / 904
GCD(1, 904) = 1
GCD of 153, 542, 930, 904 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 153, 542, 930, 904?
GCD of 153, 542, 930, 904 is 1
2. Where do I get the detailed procedure to find GCD of 153, 542, 930, 904?
You can find a detailed procedure to find GCD of 153, 542, 930, 904 on our page.
3. How to find GCD of 153, 542, 930, 904 on a calculator?
You can find the GCD of 153, 542, 930, 904 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.