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 304, 547, 961, 146 i.e. 1 largest integer that divides all the numbers equally.
GCD of 304, 547, 961, 146 is 1
GCD(304, 547, 961, 146) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 304, 547, 961, 146 is 1
GCD(304, 547, 961, 146) = 1
Given Input numbers are 304, 547, 961, 146
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 304
List of positive integer divisors of 304 that divides 304 without a remainder.
1, 2, 4, 8, 16, 19, 38, 76, 152, 304
Divisors of 547
List of positive integer divisors of 547 that divides 547 without a remainder.
1, 547
Divisors of 961
List of positive integer divisors of 961 that divides 961 without a remainder.
1, 31, 961
Divisors of 146
List of positive integer divisors of 146 that divides 146 without a remainder.
1, 2, 73, 146
Greatest Common Divisior
We found the divisors of 304, 547, 961, 146 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 304, 547, 961, 146 is 1.
Therefore, GCD of numbers 304, 547, 961, 146 is 1
Given Input Data is 304, 547, 961, 146
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19
Prime Factorization of 547 is 547
Prime Factorization of 961 is 31 x 31
Prime Factorization of 146 is 2 x 73
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(304, 547) = 166288
GCD(304, 547) = ( 304 x 547 ) / 166288
GCD(304, 547) = 166288 / 166288
GCD(304, 547) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 961
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 961) = 961
GCD(1, 961) = ( 1 x 961 ) / 961
GCD(1, 961) = 961 / 961
GCD(1, 961) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 146
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 146) = 146
GCD(1, 146) = ( 1 x 146 ) / 146
GCD(1, 146) = 146 / 146
GCD(1, 146) = 1
GCD of 304, 547, 961, 146 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 304, 547, 961, 146?
GCD of 304, 547, 961, 146 is 1
2. Where do I get the detailed procedure to find GCD of 304, 547, 961, 146?
You can find a detailed procedure to find GCD of 304, 547, 961, 146 on our page.
3. How to find GCD of 304, 547, 961, 146 on a calculator?
You can find the GCD of 304, 547, 961, 146 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.