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 721, 467, 284, 385 i.e. 1 largest integer that divides all the numbers equally.
GCD of 721, 467, 284, 385 is 1
GCD(721, 467, 284, 385) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 721, 467, 284, 385 is 1
GCD(721, 467, 284, 385) = 1
Given Input numbers are 721, 467, 284, 385
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 721
List of positive integer divisors of 721 that divides 721 without a remainder.
1, 7, 103, 721
Divisors of 467
List of positive integer divisors of 467 that divides 467 without a remainder.
1, 467
Divisors of 284
List of positive integer divisors of 284 that divides 284 without a remainder.
1, 2, 4, 71, 142, 284
Divisors of 385
List of positive integer divisors of 385 that divides 385 without a remainder.
1, 5, 7, 11, 35, 55, 77, 385
Greatest Common Divisior
We found the divisors of 721, 467, 284, 385 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 721, 467, 284, 385 is 1.
Therefore, GCD of numbers 721, 467, 284, 385 is 1
Given Input Data is 721, 467, 284, 385
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 721 is 7 x 103
Prime Factorization of 467 is 467
Prime Factorization of 284 is 2 x 2 x 71
Prime Factorization of 385 is 5 x 7 x 11
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(721, 467) = 336707
GCD(721, 467) = ( 721 x 467 ) / 336707
GCD(721, 467) = 336707 / 336707
GCD(721, 467) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 284
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 284) = 284
GCD(1, 284) = ( 1 x 284 ) / 284
GCD(1, 284) = 284 / 284
GCD(1, 284) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 385
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 385) = 385
GCD(1, 385) = ( 1 x 385 ) / 385
GCD(1, 385) = 385 / 385
GCD(1, 385) = 1
GCD of 721, 467, 284, 385 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 721, 467, 284, 385?
GCD of 721, 467, 284, 385 is 1
2. Where do I get the detailed procedure to find GCD of 721, 467, 284, 385?
You can find a detailed procedure to find GCD of 721, 467, 284, 385 on our page.
3. How to find GCD of 721, 467, 284, 385 on a calculator?
You can find the GCD of 721, 467, 284, 385 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.