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 363, 949, 124, 153 i.e. 1 largest integer that divides all the numbers equally.
GCD of 363, 949, 124, 153 is 1
GCD(363, 949, 124, 153) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 363, 949, 124, 153 is 1
GCD(363, 949, 124, 153) = 1
Given Input numbers are 363, 949, 124, 153
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 363
List of positive integer divisors of 363 that divides 363 without a remainder.
1, 3, 11, 33, 121, 363
Divisors of 949
List of positive integer divisors of 949 that divides 949 without a remainder.
1, 13, 73, 949
Divisors of 124
List of positive integer divisors of 124 that divides 124 without a remainder.
1, 2, 4, 31, 62, 124
Divisors of 153
List of positive integer divisors of 153 that divides 153 without a remainder.
1, 3, 9, 17, 51, 153
Greatest Common Divisior
We found the divisors of 363, 949, 124, 153 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 363, 949, 124, 153 is 1.
Therefore, GCD of numbers 363, 949, 124, 153 is 1
Given Input Data is 363, 949, 124, 153
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 363 is 3 x 11 x 11
Prime Factorization of 949 is 13 x 73
Prime Factorization of 124 is 2 x 2 x 31
Prime Factorization of 153 is 3 x 3 x 17
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(363, 949) = 344487
GCD(363, 949) = ( 363 x 949 ) / 344487
GCD(363, 949) = 344487 / 344487
GCD(363, 949) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 124
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 124) = 124
GCD(1, 124) = ( 1 x 124 ) / 124
GCD(1, 124) = 124 / 124
GCD(1, 124) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 153
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 153) = 153
GCD(1, 153) = ( 1 x 153 ) / 153
GCD(1, 153) = 153 / 153
GCD(1, 153) = 1
GCD of 363, 949, 124, 153 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 363, 949, 124, 153?
GCD of 363, 949, 124, 153 is 1
2. Where do I get the detailed procedure to find GCD of 363, 949, 124, 153?
You can find a detailed procedure to find GCD of 363, 949, 124, 153 on our page.
3. How to find GCD of 363, 949, 124, 153 on a calculator?
You can find the GCD of 363, 949, 124, 153 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.