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 141, 403, 363, 457 i.e. 1 largest integer that divides all the numbers equally.
GCD of 141, 403, 363, 457 is 1
GCD(141, 403, 363, 457) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 141, 403, 363, 457 is 1
GCD(141, 403, 363, 457) = 1
Given Input numbers are 141, 403, 363, 457
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 141
List of positive integer divisors of 141 that divides 141 without a remainder.
1, 3, 47, 141
Divisors of 403
List of positive integer divisors of 403 that divides 403 without a remainder.
1, 13, 31, 403
Divisors of 363
List of positive integer divisors of 363 that divides 363 without a remainder.
1, 3, 11, 33, 121, 363
Divisors of 457
List of positive integer divisors of 457 that divides 457 without a remainder.
1, 457
Greatest Common Divisior
We found the divisors of 141, 403, 363, 457 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 141, 403, 363, 457 is 1.
Therefore, GCD of numbers 141, 403, 363, 457 is 1
Given Input Data is 141, 403, 363, 457
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 141 is 3 x 47
Prime Factorization of 403 is 13 x 31
Prime Factorization of 363 is 3 x 11 x 11
Prime Factorization of 457 is 457
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(141, 403) = 56823
GCD(141, 403) = ( 141 x 403 ) / 56823
GCD(141, 403) = 56823 / 56823
GCD(141, 403) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 363
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 363) = 363
GCD(1, 363) = ( 1 x 363 ) / 363
GCD(1, 363) = 363 / 363
GCD(1, 363) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 457
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 457) = 457
GCD(1, 457) = ( 1 x 457 ) / 457
GCD(1, 457) = 457 / 457
GCD(1, 457) = 1
GCD of 141, 403, 363, 457 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 141, 403, 363, 457?
GCD of 141, 403, 363, 457 is 1
2. Where do I get the detailed procedure to find GCD of 141, 403, 363, 457?
You can find a detailed procedure to find GCD of 141, 403, 363, 457 on our page.
3. How to find GCD of 141, 403, 363, 457 on a calculator?
You can find the GCD of 141, 403, 363, 457 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.