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 121, 610, 24, 721 i.e. 1 largest integer that divides all the numbers equally.
GCD of 121, 610, 24, 721 is 1
GCD(121, 610, 24, 721) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 121, 610, 24, 721 is 1
GCD(121, 610, 24, 721) = 1
Given Input numbers are 121, 610, 24, 721
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 121
List of positive integer divisors of 121 that divides 121 without a remainder.
1, 11, 121
Divisors of 610
List of positive integer divisors of 610 that divides 610 without a remainder.
1, 2, 5, 10, 61, 122, 305, 610
Divisors of 24
List of positive integer divisors of 24 that divides 24 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24
Divisors of 721
List of positive integer divisors of 721 that divides 721 without a remainder.
1, 7, 103, 721
Greatest Common Divisior
We found the divisors of 121, 610, 24, 721 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 121, 610, 24, 721 is 1.
Therefore, GCD of numbers 121, 610, 24, 721 is 1
Given Input Data is 121, 610, 24, 721
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 121 is 11 x 11
Prime Factorization of 610 is 2 x 5 x 61
Prime Factorization of 24 is 2 x 2 x 2 x 3
Prime Factorization of 721 is 7 x 103
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(121, 610) = 73810
GCD(121, 610) = ( 121 x 610 ) / 73810
GCD(121, 610) = 73810 / 73810
GCD(121, 610) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 24
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 24) = 24
GCD(1, 24) = ( 1 x 24 ) / 24
GCD(1, 24) = 24 / 24
GCD(1, 24) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 721
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 721) = 721
GCD(1, 721) = ( 1 x 721 ) / 721
GCD(1, 721) = 721 / 721
GCD(1, 721) = 1
GCD of 121, 610, 24, 721 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 121, 610, 24, 721?
GCD of 121, 610, 24, 721 is 1
2. Where do I get the detailed procedure to find GCD of 121, 610, 24, 721?
You can find a detailed procedure to find GCD of 121, 610, 24, 721 on our page.
3. How to find GCD of 121, 610, 24, 721 on a calculator?
You can find the GCD of 121, 610, 24, 721 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.