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 32, 629, 528, 705 i.e. 1 largest integer that divides all the numbers equally.
GCD of 32, 629, 528, 705 is 1
GCD(32, 629, 528, 705) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 32, 629, 528, 705 is 1
GCD(32, 629, 528, 705) = 1
Given Input numbers are 32, 629, 528, 705
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 32
List of positive integer divisors of 32 that divides 32 without a remainder.
1, 2, 4, 8, 16, 32
Divisors of 629
List of positive integer divisors of 629 that divides 629 without a remainder.
1, 17, 37, 629
Divisors of 528
List of positive integer divisors of 528 that divides 528 without a remainder.
1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
Divisors of 705
List of positive integer divisors of 705 that divides 705 without a remainder.
1, 3, 5, 15, 47, 141, 235, 705
Greatest Common Divisior
We found the divisors of 32, 629, 528, 705 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 32, 629, 528, 705 is 1.
Therefore, GCD of numbers 32, 629, 528, 705 is 1
Given Input Data is 32, 629, 528, 705
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2
Prime Factorization of 629 is 17 x 37
Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11
Prime Factorization of 705 is 3 x 5 x 47
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(32, 629) = 20128
GCD(32, 629) = ( 32 x 629 ) / 20128
GCD(32, 629) = 20128 / 20128
GCD(32, 629) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 528
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 528) = 528
GCD(1, 528) = ( 1 x 528 ) / 528
GCD(1, 528) = 528 / 528
GCD(1, 528) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 705
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 705) = 705
GCD(1, 705) = ( 1 x 705 ) / 705
GCD(1, 705) = 705 / 705
GCD(1, 705) = 1
GCD of 32, 629, 528, 705 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 32, 629, 528, 705?
GCD of 32, 629, 528, 705 is 1
2. Where do I get the detailed procedure to find GCD of 32, 629, 528, 705?
You can find a detailed procedure to find GCD of 32, 629, 528, 705 on our page.
3. How to find GCD of 32, 629, 528, 705 on a calculator?
You can find the GCD of 32, 629, 528, 705 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.