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 664, 480, 41, 743 i.e. 1 largest integer that divides all the numbers equally.
GCD of 664, 480, 41, 743 is 1
GCD(664, 480, 41, 743) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 664, 480, 41, 743 is 1
GCD(664, 480, 41, 743) = 1
Given Input numbers are 664, 480, 41, 743
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 664
List of positive integer divisors of 664 that divides 664 without a remainder.
1, 2, 4, 8, 83, 166, 332, 664
Divisors of 480
List of positive integer divisors of 480 that divides 480 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
Divisors of 41
List of positive integer divisors of 41 that divides 41 without a remainder.
1, 41
Divisors of 743
List of positive integer divisors of 743 that divides 743 without a remainder.
1, 743
Greatest Common Divisior
We found the divisors of 664, 480, 41, 743 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 664, 480, 41, 743 is 1.
Therefore, GCD of numbers 664, 480, 41, 743 is 1
Given Input Data is 664, 480, 41, 743
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 664 is 2 x 2 x 2 x 83
Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 41 is 41
Prime Factorization of 743 is 743
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(664, 480) = 39840
GCD(664, 480) = ( 664 x 480 ) / 39840
GCD(664, 480) = 318720 / 39840
GCD(664, 480) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 41
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 41) = 328
GCD(8, 41) = ( 8 x 41 ) / 328
GCD(8, 41) = 328 / 328
GCD(8, 41) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 743
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 743) = 743
GCD(1, 743) = ( 1 x 743 ) / 743
GCD(1, 743) = 743 / 743
GCD(1, 743) = 1
GCD of 664, 480, 41, 743 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 664, 480, 41, 743?
GCD of 664, 480, 41, 743 is 1
2. Where do I get the detailed procedure to find GCD of 664, 480, 41, 743?
You can find a detailed procedure to find GCD of 664, 480, 41, 743 on our page.
3. How to find GCD of 664, 480, 41, 743 on a calculator?
You can find the GCD of 664, 480, 41, 743 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.