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 124, 149, 831, 918 i.e. 1 largest integer that divides all the numbers equally.
GCD of 124, 149, 831, 918 is 1
GCD(124, 149, 831, 918) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 124, 149, 831, 918 is 1
GCD(124, 149, 831, 918) = 1
Given Input numbers are 124, 149, 831, 918
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 124
List of positive integer divisors of 124 that divides 124 without a remainder.
1, 2, 4, 31, 62, 124
Divisors of 149
List of positive integer divisors of 149 that divides 149 without a remainder.
1, 149
Divisors of 831
List of positive integer divisors of 831 that divides 831 without a remainder.
1, 3, 277, 831
Divisors of 918
List of positive integer divisors of 918 that divides 918 without a remainder.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
Greatest Common Divisior
We found the divisors of 124, 149, 831, 918 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 124, 149, 831, 918 is 1.
Therefore, GCD of numbers 124, 149, 831, 918 is 1
Given Input Data is 124, 149, 831, 918
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 124 is 2 x 2 x 31
Prime Factorization of 149 is 149
Prime Factorization of 831 is 3 x 277
Prime Factorization of 918 is 2 x 3 x 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(124, 149) = 18476
GCD(124, 149) = ( 124 x 149 ) / 18476
GCD(124, 149) = 18476 / 18476
GCD(124, 149) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 831
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 831) = 831
GCD(1, 831) = ( 1 x 831 ) / 831
GCD(1, 831) = 831 / 831
GCD(1, 831) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 918
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 918) = 918
GCD(1, 918) = ( 1 x 918 ) / 918
GCD(1, 918) = 918 / 918
GCD(1, 918) = 1
GCD of 124, 149, 831, 918 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 124, 149, 831, 918?
GCD of 124, 149, 831, 918 is 1
2. Where do I get the detailed procedure to find GCD of 124, 149, 831, 918?
You can find a detailed procedure to find GCD of 124, 149, 831, 918 on our page.
3. How to find GCD of 124, 149, 831, 918 on a calculator?
You can find the GCD of 124, 149, 831, 918 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.