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 44, 652, 643, 264 i.e. 1 largest integer that divides all the numbers equally.
GCD of 44, 652, 643, 264 is 1
GCD(44, 652, 643, 264) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 44, 652, 643, 264 is 1
GCD(44, 652, 643, 264) = 1
Given Input numbers are 44, 652, 643, 264
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 44
List of positive integer divisors of 44 that divides 44 without a remainder.
1, 2, 4, 11, 22, 44
Divisors of 652
List of positive integer divisors of 652 that divides 652 without a remainder.
1, 2, 4, 163, 326, 652
Divisors of 643
List of positive integer divisors of 643 that divides 643 without a remainder.
1, 643
Divisors of 264
List of positive integer divisors of 264 that divides 264 without a remainder.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
Greatest Common Divisior
We found the divisors of 44, 652, 643, 264 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 44, 652, 643, 264 is 1.
Therefore, GCD of numbers 44, 652, 643, 264 is 1
Given Input Data is 44, 652, 643, 264
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 44 is 2 x 2 x 11
Prime Factorization of 652 is 2 x 2 x 163
Prime Factorization of 643 is 643
Prime Factorization of 264 is 2 x 2 x 2 x 3 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(44, 652) = 7172
GCD(44, 652) = ( 44 x 652 ) / 7172
GCD(44, 652) = 28688 / 7172
GCD(44, 652) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 643
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 643) = 2572
GCD(4, 643) = ( 4 x 643 ) / 2572
GCD(4, 643) = 2572 / 2572
GCD(4, 643) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 264
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 264) = 264
GCD(1, 264) = ( 1 x 264 ) / 264
GCD(1, 264) = 264 / 264
GCD(1, 264) = 1
GCD of 44, 652, 643, 264 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 44, 652, 643, 264?
GCD of 44, 652, 643, 264 is 1
2. Where do I get the detailed procedure to find GCD of 44, 652, 643, 264?
You can find a detailed procedure to find GCD of 44, 652, 643, 264 on our page.
3. How to find GCD of 44, 652, 643, 264 on a calculator?
You can find the GCD of 44, 652, 643, 264 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.