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 440, 744, 99, 664 i.e. 1 largest integer that divides all the numbers equally.
GCD of 440, 744, 99, 664 is 1
GCD(440, 744, 99, 664) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 440, 744, 99, 664 is 1
GCD(440, 744, 99, 664) = 1
Given Input numbers are 440, 744, 99, 664
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 440
List of positive integer divisors of 440 that divides 440 without a remainder.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
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 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Divisors of 664
List of positive integer divisors of 664 that divides 664 without a remainder.
1, 2, 4, 8, 83, 166, 332, 664
Greatest Common Divisior
We found the divisors of 440, 744, 99, 664 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 440, 744, 99, 664 is 1.
Therefore, GCD of numbers 440, 744, 99, 664 is 1
Given Input Data is 440, 744, 99, 664
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11
Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31
Prime Factorization of 99 is 3 x 3 x 11
Prime Factorization of 664 is 2 x 2 x 2 x 83
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(440, 744) = 40920
GCD(440, 744) = ( 440 x 744 ) / 40920
GCD(440, 744) = 327360 / 40920
GCD(440, 744) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 99
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 99) = 792
GCD(8, 99) = ( 8 x 99 ) / 792
GCD(8, 99) = 792 / 792
GCD(8, 99) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 664
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 664) = 664
GCD(1, 664) = ( 1 x 664 ) / 664
GCD(1, 664) = 664 / 664
GCD(1, 664) = 1
GCD of 440, 744, 99, 664 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 440, 744, 99, 664?
GCD of 440, 744, 99, 664 is 1
2. Where do I get the detailed procedure to find GCD of 440, 744, 99, 664?
You can find a detailed procedure to find GCD of 440, 744, 99, 664 on our page.
3. How to find GCD of 440, 744, 99, 664 on a calculator?
You can find the GCD of 440, 744, 99, 664 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.