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 685, 752, 43 i.e. 1 largest integer that divides all the numbers equally.
GCD of 685, 752, 43 is 1
GCD(685, 752, 43) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 685, 752, 43 is 1
GCD(685, 752, 43) = 1
Given Input numbers are 685, 752, 43
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 685
List of positive integer divisors of 685 that divides 685 without a remainder.
1, 5, 137, 685
Divisors of 752
List of positive integer divisors of 752 that divides 752 without a remainder.
1, 2, 4, 8, 16, 47, 94, 188, 376, 752
Divisors of 43
List of positive integer divisors of 43 that divides 43 without a remainder.
1, 43
Greatest Common Divisior
We found the divisors of 685, 752, 43 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 685, 752, 43 is 1.
Therefore, GCD of numbers 685, 752, 43 is 1
Given Input Data is 685, 752, 43
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 685 is 5 x 137
Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47
Prime Factorization of 43 is 43
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(685, 752) = 515120
GCD(685, 752) = ( 685 x 752 ) / 515120
GCD(685, 752) = 515120 / 515120
GCD(685, 752) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 43
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 43) = 43
GCD(1, 43) = ( 1 x 43 ) / 43
GCD(1, 43) = 43 / 43
GCD(1, 43) = 1
GCD of 685, 752, 43 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 685, 752, 43?
GCD of 685, 752, 43 is 1
2. Where do I get the detailed procedure to find GCD of 685, 752, 43?
You can find a detailed procedure to find GCD of 685, 752, 43 on our page.
3. How to find GCD of 685, 752, 43 on a calculator?
You can find the GCD of 685, 752, 43 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.