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, 214, 810, 755 i.e. 1 largest integer that divides all the numbers equally.
GCD of 501, 214, 810, 755 is 1
GCD(501, 214, 810, 755) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 501, 214, 810, 755 is 1
GCD(501, 214, 810, 755) = 1
Given Input numbers are 501, 214, 810, 755
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 214
List of positive integer divisors of 214 that divides 214 without a remainder.
1, 2, 107, 214
Divisors of 810
List of positive integer divisors of 810 that divides 810 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
Divisors of 755
List of positive integer divisors of 755 that divides 755 without a remainder.
1, 5, 151, 755
Greatest Common Divisior
We found the divisors of 501, 214, 810, 755 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 501, 214, 810, 755 is 1.
Therefore, GCD of numbers 501, 214, 810, 755 is 1
Given Input Data is 501, 214, 810, 755
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 501 is 3 x 167
Prime Factorization of 214 is 2 x 107
Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5
Prime Factorization of 755 is 5 x 151
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, 214) = 107214
GCD(501, 214) = ( 501 x 214 ) / 107214
GCD(501, 214) = 107214 / 107214
GCD(501, 214) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 810
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 810) = 810
GCD(1, 810) = ( 1 x 810 ) / 810
GCD(1, 810) = 810 / 810
GCD(1, 810) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 755
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 755) = 755
GCD(1, 755) = ( 1 x 755 ) / 755
GCD(1, 755) = 755 / 755
GCD(1, 755) = 1
GCD of 501, 214, 810, 755 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 501, 214, 810, 755?
GCD of 501, 214, 810, 755 is 1
2. Where do I get the detailed procedure to find GCD of 501, 214, 810, 755?
You can find a detailed procedure to find GCD of 501, 214, 810, 755 on our page.
3. How to find GCD of 501, 214, 810, 755 on a calculator?
You can find the GCD of 501, 214, 810, 755 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.