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 720, 254, 125, 904 i.e. 1 largest integer that divides all the numbers equally.
GCD of 720, 254, 125, 904 is 1
GCD(720, 254, 125, 904) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 720, 254, 125, 904 is 1
GCD(720, 254, 125, 904) = 1
Given Input numbers are 720, 254, 125, 904
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 720
List of positive integer divisors of 720 that divides 720 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Divisors of 254
List of positive integer divisors of 254 that divides 254 without a remainder.
1, 2, 127, 254
Divisors of 125
List of positive integer divisors of 125 that divides 125 without a remainder.
1, 5, 25, 125
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 720, 254, 125, 904 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 720, 254, 125, 904 is 1.
Therefore, GCD of numbers 720, 254, 125, 904 is 1
Given Input Data is 720, 254, 125, 904
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 254 is 2 x 127
Prime Factorization of 125 is 5 x 5 x 5
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(720, 254) = 91440
GCD(720, 254) = ( 720 x 254 ) / 91440
GCD(720, 254) = 182880 / 91440
GCD(720, 254) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 125
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 125) = 250
GCD(2, 125) = ( 2 x 125 ) / 250
GCD(2, 125) = 250 / 250
GCD(2, 125) = 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 720, 254, 125, 904 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 720, 254, 125, 904?
GCD of 720, 254, 125, 904 is 1
2. Where do I get the detailed procedure to find GCD of 720, 254, 125, 904?
You can find a detailed procedure to find GCD of 720, 254, 125, 904 on our page.
3. How to find GCD of 720, 254, 125, 904 on a calculator?
You can find the GCD of 720, 254, 125, 904 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.