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, 700, 717, 443 i.e. 1 largest integer that divides all the numbers equally.
GCD of 32, 700, 717, 443 is 1
GCD(32, 700, 717, 443) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 32, 700, 717, 443 is 1
GCD(32, 700, 717, 443) = 1
Given Input numbers are 32, 700, 717, 443
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 700
List of positive integer divisors of 700 that divides 700 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
Divisors of 717
List of positive integer divisors of 717 that divides 717 without a remainder.
1, 3, 239, 717
Divisors of 443
List of positive integer divisors of 443 that divides 443 without a remainder.
1, 443
Greatest Common Divisior
We found the divisors of 32, 700, 717, 443 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 32, 700, 717, 443 is 1.
Therefore, GCD of numbers 32, 700, 717, 443 is 1
Given Input Data is 32, 700, 717, 443
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 700 is 2 x 2 x 5 x 5 x 7
Prime Factorization of 717 is 3 x 239
Prime Factorization of 443 is 443
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, 700) = 5600
GCD(32, 700) = ( 32 x 700 ) / 5600
GCD(32, 700) = 22400 / 5600
GCD(32, 700) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 717
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 717) = 2868
GCD(4, 717) = ( 4 x 717 ) / 2868
GCD(4, 717) = 2868 / 2868
GCD(4, 717) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 443
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 443) = 443
GCD(1, 443) = ( 1 x 443 ) / 443
GCD(1, 443) = 443 / 443
GCD(1, 443) = 1
GCD of 32, 700, 717, 443 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 32, 700, 717, 443?
GCD of 32, 700, 717, 443 is 1
2. Where do I get the detailed procedure to find GCD of 32, 700, 717, 443?
You can find a detailed procedure to find GCD of 32, 700, 717, 443 on our page.
3. How to find GCD of 32, 700, 717, 443 on a calculator?
You can find the GCD of 32, 700, 717, 443 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.