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 501, 905, 685, 434 i.e. 1 largest integer that divides all the numbers equally.
GCD of 501, 905, 685, 434 is 1
GCD(501, 905, 685, 434) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 501, 905, 685, 434 is 1
GCD(501, 905, 685, 434) = 1
Given Input numbers are 501, 905, 685, 434
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 501
List of positive integer divisors of 501 that divides 501 without a remainder.
1, 3, 167, 501
Divisors of 905
List of positive integer divisors of 905 that divides 905 without a remainder.
1, 5, 181, 905
Divisors of 685
List of positive integer divisors of 685 that divides 685 without a remainder.
1, 5, 137, 685
Divisors of 434
List of positive integer divisors of 434 that divides 434 without a remainder.
1, 2, 7, 14, 31, 62, 217, 434
Greatest Common Divisior
We found the divisors of 501, 905, 685, 434 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 501, 905, 685, 434 is 1.
Therefore, GCD of numbers 501, 905, 685, 434 is 1
Given Input Data is 501, 905, 685, 434
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 501 is 3 x 167
Prime Factorization of 905 is 5 x 181
Prime Factorization of 685 is 5 x 137
Prime Factorization of 434 is 2 x 7 x 31
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(501, 905) = 453405
GCD(501, 905) = ( 501 x 905 ) / 453405
GCD(501, 905) = 453405 / 453405
GCD(501, 905) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 685
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 685) = 685
GCD(1, 685) = ( 1 x 685 ) / 685
GCD(1, 685) = 685 / 685
GCD(1, 685) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 434
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 434) = 434
GCD(1, 434) = ( 1 x 434 ) / 434
GCD(1, 434) = 434 / 434
GCD(1, 434) = 1
GCD of 501, 905, 685, 434 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 501, 905, 685, 434?
GCD of 501, 905, 685, 434 is 1
2. Where do I get the detailed procedure to find GCD of 501, 905, 685, 434?
You can find a detailed procedure to find GCD of 501, 905, 685, 434 on our page.
3. How to find GCD of 501, 905, 685, 434 on a calculator?
You can find the GCD of 501, 905, 685, 434 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.