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, 923, 649, 153 i.e. 1 largest integer that divides all the numbers equally.
GCD of 50, 923, 649, 153 is 1
GCD(50, 923, 649, 153) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 50, 923, 649, 153 is 1
GCD(50, 923, 649, 153) = 1
Given Input numbers are 50, 923, 649, 153
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 923
List of positive integer divisors of 923 that divides 923 without a remainder.
1, 13, 71, 923
Divisors of 649
List of positive integer divisors of 649 that divides 649 without a remainder.
1, 11, 59, 649
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 50, 923, 649, 153 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 50, 923, 649, 153 is 1.
Therefore, GCD of numbers 50, 923, 649, 153 is 1
Given Input Data is 50, 923, 649, 153
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 923 is 13 x 71
Prime Factorization of 649 is 11 x 59
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(50, 923) = 46150
GCD(50, 923) = ( 50 x 923 ) / 46150
GCD(50, 923) = 46150 / 46150
GCD(50, 923) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 649
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 649) = 649
GCD(1, 649) = ( 1 x 649 ) / 649
GCD(1, 649) = 649 / 649
GCD(1, 649) = 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 50, 923, 649, 153 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 50, 923, 649, 153?
GCD of 50, 923, 649, 153 is 1
2. Where do I get the detailed procedure to find GCD of 50, 923, 649, 153?
You can find a detailed procedure to find GCD of 50, 923, 649, 153 on our page.
3. How to find GCD of 50, 923, 649, 153 on a calculator?
You can find the GCD of 50, 923, 649, 153 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.