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 20, 528, 744, 613 i.e. 1 largest integer that divides all the numbers equally.
GCD of 20, 528, 744, 613 is 1
GCD(20, 528, 744, 613) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 20, 528, 744, 613 is 1
GCD(20, 528, 744, 613) = 1
Given Input numbers are 20, 528, 744, 613
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 20
List of positive integer divisors of 20 that divides 20 without a remainder.
1, 2, 4, 5, 10, 20
Divisors of 528
List of positive integer divisors of 528 that divides 528 without a remainder.
1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
Divisors of 744
List of positive integer divisors of 744 that divides 744 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
Divisors of 613
List of positive integer divisors of 613 that divides 613 without a remainder.
1, 613
Greatest Common Divisior
We found the divisors of 20, 528, 744, 613 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 20, 528, 744, 613 is 1.
Therefore, GCD of numbers 20, 528, 744, 613 is 1
Given Input Data is 20, 528, 744, 613
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 20 is 2 x 2 x 5
Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11
Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31
Prime Factorization of 613 is 613
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(20, 528) = 2640
GCD(20, 528) = ( 20 x 528 ) / 2640
GCD(20, 528) = 10560 / 2640
GCD(20, 528) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 744
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 744) = 744
GCD(4, 744) = ( 4 x 744 ) / 744
GCD(4, 744) = 2976 / 744
GCD(4, 744) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 613
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 613) = 2452
GCD(4, 613) = ( 4 x 613 ) / 2452
GCD(4, 613) = 2452 / 2452
GCD(4, 613) = 1
GCD of 20, 528, 744, 613 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 20, 528, 744, 613?
GCD of 20, 528, 744, 613 is 1
2. Where do I get the detailed procedure to find GCD of 20, 528, 744, 613?
You can find a detailed procedure to find GCD of 20, 528, 744, 613 on our page.
3. How to find GCD of 20, 528, 744, 613 on a calculator?
You can find the GCD of 20, 528, 744, 613 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.