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, 420, 790, 885 i.e. 1 largest integer that divides all the numbers equally.
GCD of 721, 420, 790, 885 is 1
GCD(721, 420, 790, 885) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 721, 420, 790, 885 is 1
GCD(721, 420, 790, 885) = 1
Given Input numbers are 721, 420, 790, 885
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 420
List of positive integer divisors of 420 that divides 420 without a remainder.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 790
List of positive integer divisors of 790 that divides 790 without a remainder.
1, 2, 5, 10, 79, 158, 395, 790
Divisors of 885
List of positive integer divisors of 885 that divides 885 without a remainder.
1, 3, 5, 15, 59, 177, 295, 885
Greatest Common Divisior
We found the divisors of 721, 420, 790, 885 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 721, 420, 790, 885 is 1.
Therefore, GCD of numbers 721, 420, 790, 885 is 1
Given Input Data is 721, 420, 790, 885
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 721 is 7 x 103
Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7
Prime Factorization of 790 is 2 x 5 x 79
Prime Factorization of 885 is 3 x 5 x 59
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, 420) = 43260
GCD(721, 420) = ( 721 x 420 ) / 43260
GCD(721, 420) = 302820 / 43260
GCD(721, 420) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 790
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 790) = 5530
GCD(7, 790) = ( 7 x 790 ) / 5530
GCD(7, 790) = 5530 / 5530
GCD(7, 790) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 885
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 885) = 885
GCD(1, 885) = ( 1 x 885 ) / 885
GCD(1, 885) = 885 / 885
GCD(1, 885) = 1
GCD of 721, 420, 790, 885 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 721, 420, 790, 885?
GCD of 721, 420, 790, 885 is 1
2. Where do I get the detailed procedure to find GCD of 721, 420, 790, 885?
You can find a detailed procedure to find GCD of 721, 420, 790, 885 on our page.
3. How to find GCD of 721, 420, 790, 885 on a calculator?
You can find the GCD of 721, 420, 790, 885 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.