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, 252, 51, 145 i.e. 1 largest integer that divides all the numbers equally.
GCD of 501, 252, 51, 145 is 1
GCD(501, 252, 51, 145) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 501, 252, 51, 145 is 1
GCD(501, 252, 51, 145) = 1
Given Input numbers are 501, 252, 51, 145
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 252
List of positive integer divisors of 252 that divides 252 without a remainder.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
Divisors of 51
List of positive integer divisors of 51 that divides 51 without a remainder.
1, 3, 17, 51
Divisors of 145
List of positive integer divisors of 145 that divides 145 without a remainder.
1, 5, 29, 145
Greatest Common Divisior
We found the divisors of 501, 252, 51, 145 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 501, 252, 51, 145 is 1.
Therefore, GCD of numbers 501, 252, 51, 145 is 1
Given Input Data is 501, 252, 51, 145
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 501 is 3 x 167
Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7
Prime Factorization of 51 is 3 x 17
Prime Factorization of 145 is 5 x 29
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, 252) = 42084
GCD(501, 252) = ( 501 x 252 ) / 42084
GCD(501, 252) = 126252 / 42084
GCD(501, 252) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 51
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 51) = 51
GCD(3, 51) = ( 3 x 51 ) / 51
GCD(3, 51) = 153 / 51
GCD(3, 51) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 145
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 145) = 435
GCD(3, 145) = ( 3 x 145 ) / 435
GCD(3, 145) = 435 / 435
GCD(3, 145) = 1
GCD of 501, 252, 51, 145 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 501, 252, 51, 145?
GCD of 501, 252, 51, 145 is 1
2. Where do I get the detailed procedure to find GCD of 501, 252, 51, 145?
You can find a detailed procedure to find GCD of 501, 252, 51, 145 on our page.
3. How to find GCD of 501, 252, 51, 145 on a calculator?
You can find the GCD of 501, 252, 51, 145 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.