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 665, 744, 65, 576 i.e. 1 largest integer that divides all the numbers equally.
GCD of 665, 744, 65, 576 is 1
GCD(665, 744, 65, 576) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 665, 744, 65, 576 is 1
GCD(665, 744, 65, 576) = 1
Given Input numbers are 665, 744, 65, 576
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 665
List of positive integer divisors of 665 that divides 665 without a remainder.
1, 5, 7, 19, 35, 95, 133, 665
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 65
List of positive integer divisors of 65 that divides 65 without a remainder.
1, 5, 13, 65
Divisors of 576
List of positive integer divisors of 576 that divides 576 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
Greatest Common Divisior
We found the divisors of 665, 744, 65, 576 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 665, 744, 65, 576 is 1.
Therefore, GCD of numbers 665, 744, 65, 576 is 1
Given Input Data is 665, 744, 65, 576
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 665 is 5 x 7 x 19
Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31
Prime Factorization of 65 is 5 x 13
Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
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(665, 744) = 494760
GCD(665, 744) = ( 665 x 744 ) / 494760
GCD(665, 744) = 494760 / 494760
GCD(665, 744) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 65
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 65) = 65
GCD(1, 65) = ( 1 x 65 ) / 65
GCD(1, 65) = 65 / 65
GCD(1, 65) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 576
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 576) = 576
GCD(1, 576) = ( 1 x 576 ) / 576
GCD(1, 576) = 576 / 576
GCD(1, 576) = 1
GCD of 665, 744, 65, 576 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 665, 744, 65, 576?
GCD of 665, 744, 65, 576 is 1
2. Where do I get the detailed procedure to find GCD of 665, 744, 65, 576?
You can find a detailed procedure to find GCD of 665, 744, 65, 576 on our page.
3. How to find GCD of 665, 744, 65, 576 on a calculator?
You can find the GCD of 665, 744, 65, 576 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.