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, 941, 304, 588 i.e. 1 largest integer that divides all the numbers equally.
GCD of 721, 941, 304, 588 is 1
GCD(721, 941, 304, 588) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 721, 941, 304, 588 is 1
GCD(721, 941, 304, 588) = 1
Given Input numbers are 721, 941, 304, 588
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 941
List of positive integer divisors of 941 that divides 941 without a remainder.
1, 941
Divisors of 304
List of positive integer divisors of 304 that divides 304 without a remainder.
1, 2, 4, 8, 16, 19, 38, 76, 152, 304
Divisors of 588
List of positive integer divisors of 588 that divides 588 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
Greatest Common Divisior
We found the divisors of 721, 941, 304, 588 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 721, 941, 304, 588 is 1.
Therefore, GCD of numbers 721, 941, 304, 588 is 1
Given Input Data is 721, 941, 304, 588
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 721 is 7 x 103
Prime Factorization of 941 is 941
Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19
Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7
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, 941) = 678461
GCD(721, 941) = ( 721 x 941 ) / 678461
GCD(721, 941) = 678461 / 678461
GCD(721, 941) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 304
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 304) = 304
GCD(1, 304) = ( 1 x 304 ) / 304
GCD(1, 304) = 304 / 304
GCD(1, 304) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 588
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 588) = 588
GCD(1, 588) = ( 1 x 588 ) / 588
GCD(1, 588) = 588 / 588
GCD(1, 588) = 1
GCD of 721, 941, 304, 588 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 721, 941, 304, 588?
GCD of 721, 941, 304, 588 is 1
2. Where do I get the detailed procedure to find GCD of 721, 941, 304, 588?
You can find a detailed procedure to find GCD of 721, 941, 304, 588 on our page.
3. How to find GCD of 721, 941, 304, 588 on a calculator?
You can find the GCD of 721, 941, 304, 588 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.