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, 853, 38, 107 i.e. 1 largest integer that divides all the numbers equally.
GCD of 501, 853, 38, 107 is 1
GCD(501, 853, 38, 107) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 501, 853, 38, 107 is 1
GCD(501, 853, 38, 107) = 1
Given Input numbers are 501, 853, 38, 107
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 853
List of positive integer divisors of 853 that divides 853 without a remainder.
1, 853
Divisors of 38
List of positive integer divisors of 38 that divides 38 without a remainder.
1, 2, 19, 38
Divisors of 107
List of positive integer divisors of 107 that divides 107 without a remainder.
1, 107
Greatest Common Divisior
We found the divisors of 501, 853, 38, 107 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 501, 853, 38, 107 is 1.
Therefore, GCD of numbers 501, 853, 38, 107 is 1
Given Input Data is 501, 853, 38, 107
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 501 is 3 x 167
Prime Factorization of 853 is 853
Prime Factorization of 38 is 2 x 19
Prime Factorization of 107 is 107
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, 853) = 427353
GCD(501, 853) = ( 501 x 853 ) / 427353
GCD(501, 853) = 427353 / 427353
GCD(501, 853) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 38
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 38) = 38
GCD(1, 38) = ( 1 x 38 ) / 38
GCD(1, 38) = 38 / 38
GCD(1, 38) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 107
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 107) = 107
GCD(1, 107) = ( 1 x 107 ) / 107
GCD(1, 107) = 107 / 107
GCD(1, 107) = 1
GCD of 501, 853, 38, 107 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 501, 853, 38, 107?
GCD of 501, 853, 38, 107 is 1
2. Where do I get the detailed procedure to find GCD of 501, 853, 38, 107?
You can find a detailed procedure to find GCD of 501, 853, 38, 107 on our page.
3. How to find GCD of 501, 853, 38, 107 on a calculator?
You can find the GCD of 501, 853, 38, 107 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.