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 168, 475, 53, 501 i.e. 1 largest integer that divides all the numbers equally.
GCD of 168, 475, 53, 501 is 1
GCD(168, 475, 53, 501) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 168, 475, 53, 501 is 1
GCD(168, 475, 53, 501) = 1
Given Input numbers are 168, 475, 53, 501
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 168
List of positive integer divisors of 168 that divides 168 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Divisors of 475
List of positive integer divisors of 475 that divides 475 without a remainder.
1, 5, 19, 25, 95, 475
Divisors of 53
List of positive integer divisors of 53 that divides 53 without a remainder.
1, 53
Divisors of 501
List of positive integer divisors of 501 that divides 501 without a remainder.
1, 3, 167, 501
Greatest Common Divisior
We found the divisors of 168, 475, 53, 501 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 168, 475, 53, 501 is 1.
Therefore, GCD of numbers 168, 475, 53, 501 is 1
Given Input Data is 168, 475, 53, 501
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7
Prime Factorization of 475 is 5 x 5 x 19
Prime Factorization of 53 is 53
Prime Factorization of 501 is 3 x 167
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(168, 475) = 79800
GCD(168, 475) = ( 168 x 475 ) / 79800
GCD(168, 475) = 79800 / 79800
GCD(168, 475) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 53
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 53) = 53
GCD(1, 53) = ( 1 x 53 ) / 53
GCD(1, 53) = 53 / 53
GCD(1, 53) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 501
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 501) = 501
GCD(1, 501) = ( 1 x 501 ) / 501
GCD(1, 501) = 501 / 501
GCD(1, 501) = 1
GCD of 168, 475, 53, 501 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 168, 475, 53, 501?
GCD of 168, 475, 53, 501 is 1
2. Where do I get the detailed procedure to find GCD of 168, 475, 53, 501?
You can find a detailed procedure to find GCD of 168, 475, 53, 501 on our page.
3. How to find GCD of 168, 475, 53, 501 on a calculator?
You can find the GCD of 168, 475, 53, 501 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.