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 318, 554, 149, 865 i.e. 1 largest integer that divides all the numbers equally.
GCD of 318, 554, 149, 865 is 1
GCD(318, 554, 149, 865) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 318, 554, 149, 865 is 1
GCD(318, 554, 149, 865) = 1
Given Input numbers are 318, 554, 149, 865
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 318
List of positive integer divisors of 318 that divides 318 without a remainder.
1, 2, 3, 6, 53, 106, 159, 318
Divisors of 554
List of positive integer divisors of 554 that divides 554 without a remainder.
1, 2, 277, 554
Divisors of 149
List of positive integer divisors of 149 that divides 149 without a remainder.
1, 149
Divisors of 865
List of positive integer divisors of 865 that divides 865 without a remainder.
1, 5, 173, 865
Greatest Common Divisior
We found the divisors of 318, 554, 149, 865 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 318, 554, 149, 865 is 1.
Therefore, GCD of numbers 318, 554, 149, 865 is 1
Given Input Data is 318, 554, 149, 865
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 318 is 2 x 3 x 53
Prime Factorization of 554 is 2 x 277
Prime Factorization of 149 is 149
Prime Factorization of 865 is 5 x 173
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(318, 554) = 88086
GCD(318, 554) = ( 318 x 554 ) / 88086
GCD(318, 554) = 176172 / 88086
GCD(318, 554) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 149
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 149) = 298
GCD(2, 149) = ( 2 x 149 ) / 298
GCD(2, 149) = 298 / 298
GCD(2, 149) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 865
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 865) = 865
GCD(1, 865) = ( 1 x 865 ) / 865
GCD(1, 865) = 865 / 865
GCD(1, 865) = 1
GCD of 318, 554, 149, 865 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 318, 554, 149, 865?
GCD of 318, 554, 149, 865 is 1
2. Where do I get the detailed procedure to find GCD of 318, 554, 149, 865?
You can find a detailed procedure to find GCD of 318, 554, 149, 865 on our page.
3. How to find GCD of 318, 554, 149, 865 on a calculator?
You can find the GCD of 318, 554, 149, 865 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.