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 93, 721, 456, 478 i.e. 1 largest integer that divides all the numbers equally.
GCD of 93, 721, 456, 478 is 1
GCD(93, 721, 456, 478) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 93, 721, 456, 478 is 1
GCD(93, 721, 456, 478) = 1
Given Input numbers are 93, 721, 456, 478
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 93
List of positive integer divisors of 93 that divides 93 without a remainder.
1, 3, 31, 93
Divisors of 721
List of positive integer divisors of 721 that divides 721 without a remainder.
1, 7, 103, 721
Divisors of 456
List of positive integer divisors of 456 that divides 456 without a remainder.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
Divisors of 478
List of positive integer divisors of 478 that divides 478 without a remainder.
1, 2, 239, 478
Greatest Common Divisior
We found the divisors of 93, 721, 456, 478 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 93, 721, 456, 478 is 1.
Therefore, GCD of numbers 93, 721, 456, 478 is 1
Given Input Data is 93, 721, 456, 478
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 93 is 3 x 31
Prime Factorization of 721 is 7 x 103
Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19
Prime Factorization of 478 is 2 x 239
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(93, 721) = 67053
GCD(93, 721) = ( 93 x 721 ) / 67053
GCD(93, 721) = 67053 / 67053
GCD(93, 721) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 456
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 456) = 456
GCD(1, 456) = ( 1 x 456 ) / 456
GCD(1, 456) = 456 / 456
GCD(1, 456) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 478
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 478) = 478
GCD(1, 478) = ( 1 x 478 ) / 478
GCD(1, 478) = 478 / 478
GCD(1, 478) = 1
GCD of 93, 721, 456, 478 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 93, 721, 456, 478?
GCD of 93, 721, 456, 478 is 1
2. Where do I get the detailed procedure to find GCD of 93, 721, 456, 478?
You can find a detailed procedure to find GCD of 93, 721, 456, 478 on our page.
3. How to find GCD of 93, 721, 456, 478 on a calculator?
You can find the GCD of 93, 721, 456, 478 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.