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 954, 954, 190, 149 i.e. 1 largest integer that divides all the numbers equally.
GCD of 954, 954, 190, 149 is 1
GCD(954, 954, 190, 149) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 954, 954, 190, 149 is 1
GCD(954, 954, 190, 149) = 1
Given Input numbers are 954, 954, 190, 149
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 954
List of positive integer divisors of 954 that divides 954 without a remainder.
1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
Divisors of 954
List of positive integer divisors of 954 that divides 954 without a remainder.
1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
Divisors of 190
List of positive integer divisors of 190 that divides 190 without a remainder.
1, 2, 5, 10, 19, 38, 95, 190
Divisors of 149
List of positive integer divisors of 149 that divides 149 without a remainder.
1, 149
Greatest Common Divisior
We found the divisors of 954, 954, 190, 149 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 954, 954, 190, 149 is 1.
Therefore, GCD of numbers 954, 954, 190, 149 is 1
Given Input Data is 954, 954, 190, 149
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 954 is 2 x 3 x 3 x 53
Prime Factorization of 954 is 2 x 3 x 3 x 53
Prime Factorization of 190 is 2 x 5 x 19
Prime Factorization of 149 is 149
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(954, 954) = 954
GCD(954, 954) = ( 954 x 954 ) / 954
GCD(954, 954) = 910116 / 954
GCD(954, 954) = 954
Step2:
Here we consider the GCD from the above i.e. 954 as first number and the next as 190
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(954, 190) = 90630
GCD(954, 190) = ( 954 x 190 ) / 90630
GCD(954, 190) = 181260 / 90630
GCD(954, 190) = 2
Step3:
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
GCD of 954, 954, 190, 149 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 954, 954, 190, 149?
GCD of 954, 954, 190, 149 is 1
2. Where do I get the detailed procedure to find GCD of 954, 954, 190, 149?
You can find a detailed procedure to find GCD of 954, 954, 190, 149 on our page.
3. How to find GCD of 954, 954, 190, 149 on a calculator?
You can find the GCD of 954, 954, 190, 149 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.