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 498, 313, 440, 150 i.e. 1 largest integer that divides all the numbers equally.
GCD of 498, 313, 440, 150 is 1
GCD(498, 313, 440, 150) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 498, 313, 440, 150 is 1
GCD(498, 313, 440, 150) = 1
Given Input numbers are 498, 313, 440, 150
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 498
List of positive integer divisors of 498 that divides 498 without a remainder.
1, 2, 3, 6, 83, 166, 249, 498
Divisors of 313
List of positive integer divisors of 313 that divides 313 without a remainder.
1, 313
Divisors of 440
List of positive integer divisors of 440 that divides 440 without a remainder.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
Divisors of 150
List of positive integer divisors of 150 that divides 150 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
Greatest Common Divisior
We found the divisors of 498, 313, 440, 150 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 313, 440, 150 is 1.
Therefore, GCD of numbers 498, 313, 440, 150 is 1
Given Input Data is 498, 313, 440, 150
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 498 is 2 x 3 x 83
Prime Factorization of 313 is 313
Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11
Prime Factorization of 150 is 2 x 3 x 5 x 5
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(498, 313) = 155874
GCD(498, 313) = ( 498 x 313 ) / 155874
GCD(498, 313) = 155874 / 155874
GCD(498, 313) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 440
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 440) = 440
GCD(1, 440) = ( 1 x 440 ) / 440
GCD(1, 440) = 440 / 440
GCD(1, 440) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 150
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 150) = 150
GCD(1, 150) = ( 1 x 150 ) / 150
GCD(1, 150) = 150 / 150
GCD(1, 150) = 1
GCD of 498, 313, 440, 150 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 498, 313, 440, 150?
GCD of 498, 313, 440, 150 is 1
2. Where do I get the detailed procedure to find GCD of 498, 313, 440, 150?
You can find a detailed procedure to find GCD of 498, 313, 440, 150 on our page.
3. How to find GCD of 498, 313, 440, 150 on a calculator?
You can find the GCD of 498, 313, 440, 150 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.