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, 790, 29, 100 i.e. 1 largest integer that divides all the numbers equally.
GCD of 721, 790, 29, 100 is 1
GCD(721, 790, 29, 100) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 721, 790, 29, 100 is 1
GCD(721, 790, 29, 100) = 1
Given Input numbers are 721, 790, 29, 100
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 790
List of positive integer divisors of 790 that divides 790 without a remainder.
1, 2, 5, 10, 79, 158, 395, 790
Divisors of 29
List of positive integer divisors of 29 that divides 29 without a remainder.
1, 29
Divisors of 100
List of positive integer divisors of 100 that divides 100 without a remainder.
1, 2, 4, 5, 10, 20, 25, 50, 100
Greatest Common Divisior
We found the divisors of 721, 790, 29, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 721, 790, 29, 100 is 1.
Therefore, GCD of numbers 721, 790, 29, 100 is 1
Given Input Data is 721, 790, 29, 100
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 721 is 7 x 103
Prime Factorization of 790 is 2 x 5 x 79
Prime Factorization of 29 is 29
Prime Factorization of 100 is 2 x 2 x 5 x 5
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, 790) = 569590
GCD(721, 790) = ( 721 x 790 ) / 569590
GCD(721, 790) = 569590 / 569590
GCD(721, 790) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 29
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 29) = 29
GCD(1, 29) = ( 1 x 29 ) / 29
GCD(1, 29) = 29 / 29
GCD(1, 29) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 100
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 100) = 100
GCD(1, 100) = ( 1 x 100 ) / 100
GCD(1, 100) = 100 / 100
GCD(1, 100) = 1
GCD of 721, 790, 29, 100 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 721, 790, 29, 100?
GCD of 721, 790, 29, 100 is 1
2. Where do I get the detailed procedure to find GCD of 721, 790, 29, 100?
You can find a detailed procedure to find GCD of 721, 790, 29, 100 on our page.
3. How to find GCD of 721, 790, 29, 100 on a calculator?
You can find the GCD of 721, 790, 29, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.