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 252, 446, 375, 503 i.e. 1 largest integer that divides all the numbers equally.
GCD of 252, 446, 375, 503 is 1
GCD(252, 446, 375, 503) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 252, 446, 375, 503 is 1
GCD(252, 446, 375, 503) = 1
Given Input numbers are 252, 446, 375, 503
To find the GCD of numbers using factoring list out all the divisors of each number
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 446
List of positive integer divisors of 446 that divides 446 without a remainder.
1, 2, 223, 446
Divisors of 375
List of positive integer divisors of 375 that divides 375 without a remainder.
1, 3, 5, 15, 25, 75, 125, 375
Divisors of 503
List of positive integer divisors of 503 that divides 503 without a remainder.
1, 503
Greatest Common Divisior
We found the divisors of 252, 446, 375, 503 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 252, 446, 375, 503 is 1.
Therefore, GCD of numbers 252, 446, 375, 503 is 1
Given Input Data is 252, 446, 375, 503
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7
Prime Factorization of 446 is 2 x 223
Prime Factorization of 375 is 3 x 5 x 5 x 5
Prime Factorization of 503 is 503
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(252, 446) = 56196
GCD(252, 446) = ( 252 x 446 ) / 56196
GCD(252, 446) = 112392 / 56196
GCD(252, 446) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 375
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 375) = 750
GCD(2, 375) = ( 2 x 375 ) / 750
GCD(2, 375) = 750 / 750
GCD(2, 375) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 503
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 503) = 503
GCD(1, 503) = ( 1 x 503 ) / 503
GCD(1, 503) = 503 / 503
GCD(1, 503) = 1
GCD of 252, 446, 375, 503 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 252, 446, 375, 503?
GCD of 252, 446, 375, 503 is 1
2. Where do I get the detailed procedure to find GCD of 252, 446, 375, 503?
You can find a detailed procedure to find GCD of 252, 446, 375, 503 on our page.
3. How to find GCD of 252, 446, 375, 503 on a calculator?
You can find the GCD of 252, 446, 375, 503 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.