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 445, 629, 96, 352 i.e. 1 largest integer that divides all the numbers equally.
GCD of 445, 629, 96, 352 is 1
GCD(445, 629, 96, 352) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 445, 629, 96, 352 is 1
GCD(445, 629, 96, 352) = 1
Given Input numbers are 445, 629, 96, 352
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 445
List of positive integer divisors of 445 that divides 445 without a remainder.
1, 5, 89, 445
Divisors of 629
List of positive integer divisors of 629 that divides 629 without a remainder.
1, 17, 37, 629
Divisors of 96
List of positive integer divisors of 96 that divides 96 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Divisors of 352
List of positive integer divisors of 352 that divides 352 without a remainder.
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
Greatest Common Divisior
We found the divisors of 445, 629, 96, 352 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 445, 629, 96, 352 is 1.
Therefore, GCD of numbers 445, 629, 96, 352 is 1
Given Input Data is 445, 629, 96, 352
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 445 is 5 x 89
Prime Factorization of 629 is 17 x 37
Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 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(445, 629) = 279905
GCD(445, 629) = ( 445 x 629 ) / 279905
GCD(445, 629) = 279905 / 279905
GCD(445, 629) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 96
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 96) = 96
GCD(1, 96) = ( 1 x 96 ) / 96
GCD(1, 96) = 96 / 96
GCD(1, 96) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 352
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 352) = 352
GCD(1, 352) = ( 1 x 352 ) / 352
GCD(1, 352) = 352 / 352
GCD(1, 352) = 1
GCD of 445, 629, 96, 352 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 445, 629, 96, 352?
GCD of 445, 629, 96, 352 is 1
2. Where do I get the detailed procedure to find GCD of 445, 629, 96, 352?
You can find a detailed procedure to find GCD of 445, 629, 96, 352 on our page.
3. How to find GCD of 445, 629, 96, 352 on a calculator?
You can find the GCD of 445, 629, 96, 352 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.