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 477, 723, 703, 248 i.e. 1 largest integer that divides all the numbers equally.
GCD of 477, 723, 703, 248 is 1
GCD(477, 723, 703, 248) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 477, 723, 703, 248 is 1
GCD(477, 723, 703, 248) = 1
Given Input numbers are 477, 723, 703, 248
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 477
List of positive integer divisors of 477 that divides 477 without a remainder.
1, 3, 9, 53, 159, 477
Divisors of 723
List of positive integer divisors of 723 that divides 723 without a remainder.
1, 3, 241, 723
Divisors of 703
List of positive integer divisors of 703 that divides 703 without a remainder.
1, 19, 37, 703
Divisors of 248
List of positive integer divisors of 248 that divides 248 without a remainder.
1, 2, 4, 8, 31, 62, 124, 248
Greatest Common Divisior
We found the divisors of 477, 723, 703, 248 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 477, 723, 703, 248 is 1.
Therefore, GCD of numbers 477, 723, 703, 248 is 1
Given Input Data is 477, 723, 703, 248
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 477 is 3 x 3 x 53
Prime Factorization of 723 is 3 x 241
Prime Factorization of 703 is 19 x 37
Prime Factorization of 248 is 2 x 2 x 2 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(477, 723) = 114957
GCD(477, 723) = ( 477 x 723 ) / 114957
GCD(477, 723) = 344871 / 114957
GCD(477, 723) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 703
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 703) = 2109
GCD(3, 703) = ( 3 x 703 ) / 2109
GCD(3, 703) = 2109 / 2109
GCD(3, 703) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 248
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 248) = 248
GCD(1, 248) = ( 1 x 248 ) / 248
GCD(1, 248) = 248 / 248
GCD(1, 248) = 1
GCD of 477, 723, 703, 248 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 477, 723, 703, 248?
GCD of 477, 723, 703, 248 is 1
2. Where do I get the detailed procedure to find GCD of 477, 723, 703, 248?
You can find a detailed procedure to find GCD of 477, 723, 703, 248 on our page.
3. How to find GCD of 477, 723, 703, 248 on a calculator?
You can find the GCD of 477, 723, 703, 248 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.