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 74, 591, 240, 484 i.e. 1 largest integer that divides all the numbers equally.
GCD of 74, 591, 240, 484 is 1
GCD(74, 591, 240, 484) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 74, 591, 240, 484 is 1
GCD(74, 591, 240, 484) = 1
Given Input numbers are 74, 591, 240, 484
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 74
List of positive integer divisors of 74 that divides 74 without a remainder.
1, 2, 37, 74
Divisors of 591
List of positive integer divisors of 591 that divides 591 without a remainder.
1, 3, 197, 591
Divisors of 240
List of positive integer divisors of 240 that divides 240 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Divisors of 484
List of positive integer divisors of 484 that divides 484 without a remainder.
1, 2, 4, 11, 22, 44, 121, 242, 484
Greatest Common Divisior
We found the divisors of 74, 591, 240, 484 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 74, 591, 240, 484 is 1.
Therefore, GCD of numbers 74, 591, 240, 484 is 1
Given Input Data is 74, 591, 240, 484
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 74 is 2 x 37
Prime Factorization of 591 is 3 x 197
Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 484 is 2 x 2 x 11 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(74, 591) = 43734
GCD(74, 591) = ( 74 x 591 ) / 43734
GCD(74, 591) = 43734 / 43734
GCD(74, 591) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 240
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 240) = 240
GCD(1, 240) = ( 1 x 240 ) / 240
GCD(1, 240) = 240 / 240
GCD(1, 240) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 484
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 484) = 484
GCD(1, 484) = ( 1 x 484 ) / 484
GCD(1, 484) = 484 / 484
GCD(1, 484) = 1
GCD of 74, 591, 240, 484 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 74, 591, 240, 484?
GCD of 74, 591, 240, 484 is 1
2. Where do I get the detailed procedure to find GCD of 74, 591, 240, 484?
You can find a detailed procedure to find GCD of 74, 591, 240, 484 on our page.
3. How to find GCD of 74, 591, 240, 484 on a calculator?
You can find the GCD of 74, 591, 240, 484 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.