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 50, 743, 152, 949 i.e. 1 largest integer that divides all the numbers equally.
GCD of 50, 743, 152, 949 is 1
GCD(50, 743, 152, 949) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 50, 743, 152, 949 is 1
GCD(50, 743, 152, 949) = 1
Given Input numbers are 50, 743, 152, 949
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 50
List of positive integer divisors of 50 that divides 50 without a remainder.
1, 2, 5, 10, 25, 50
Divisors of 743
List of positive integer divisors of 743 that divides 743 without a remainder.
1, 743
Divisors of 152
List of positive integer divisors of 152 that divides 152 without a remainder.
1, 2, 4, 8, 19, 38, 76, 152
Divisors of 949
List of positive integer divisors of 949 that divides 949 without a remainder.
1, 13, 73, 949
Greatest Common Divisior
We found the divisors of 50, 743, 152, 949 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 50, 743, 152, 949 is 1.
Therefore, GCD of numbers 50, 743, 152, 949 is 1
Given Input Data is 50, 743, 152, 949
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 50 is 2 x 5 x 5
Prime Factorization of 743 is 743
Prime Factorization of 152 is 2 x 2 x 2 x 19
Prime Factorization of 949 is 13 x 73
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(50, 743) = 37150
GCD(50, 743) = ( 50 x 743 ) / 37150
GCD(50, 743) = 37150 / 37150
GCD(50, 743) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 152
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 152) = 152
GCD(1, 152) = ( 1 x 152 ) / 152
GCD(1, 152) = 152 / 152
GCD(1, 152) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 949
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 949) = 949
GCD(1, 949) = ( 1 x 949 ) / 949
GCD(1, 949) = 949 / 949
GCD(1, 949) = 1
GCD of 50, 743, 152, 949 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 50, 743, 152, 949?
GCD of 50, 743, 152, 949 is 1
2. Where do I get the detailed procedure to find GCD of 50, 743, 152, 949?
You can find a detailed procedure to find GCD of 50, 743, 152, 949 on our page.
3. How to find GCD of 50, 743, 152, 949 on a calculator?
You can find the GCD of 50, 743, 152, 949 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.