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 483, 261, 15, 946 i.e. 1 largest integer that divides all the numbers equally.
GCD of 483, 261, 15, 946 is 1
GCD(483, 261, 15, 946) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 483, 261, 15, 946 is 1
GCD(483, 261, 15, 946) = 1
Given Input numbers are 483, 261, 15, 946
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 483
List of positive integer divisors of 483 that divides 483 without a remainder.
1, 3, 7, 21, 23, 69, 161, 483
Divisors of 261
List of positive integer divisors of 261 that divides 261 without a remainder.
1, 3, 9, 29, 87, 261
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
Divisors of 946
List of positive integer divisors of 946 that divides 946 without a remainder.
1, 2, 11, 22, 43, 86, 473, 946
Greatest Common Divisior
We found the divisors of 483, 261, 15, 946 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 483, 261, 15, 946 is 1.
Therefore, GCD of numbers 483, 261, 15, 946 is 1
Given Input Data is 483, 261, 15, 946
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 483 is 3 x 7 x 23
Prime Factorization of 261 is 3 x 3 x 29
Prime Factorization of 15 is 3 x 5
Prime Factorization of 946 is 2 x 11 x 43
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(483, 261) = 42021
GCD(483, 261) = ( 483 x 261 ) / 42021
GCD(483, 261) = 126063 / 42021
GCD(483, 261) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 15
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 15) = 15
GCD(3, 15) = ( 3 x 15 ) / 15
GCD(3, 15) = 45 / 15
GCD(3, 15) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 946
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 946) = 2838
GCD(3, 946) = ( 3 x 946 ) / 2838
GCD(3, 946) = 2838 / 2838
GCD(3, 946) = 1
GCD of 483, 261, 15, 946 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 483, 261, 15, 946?
GCD of 483, 261, 15, 946 is 1
2. Where do I get the detailed procedure to find GCD of 483, 261, 15, 946?
You can find a detailed procedure to find GCD of 483, 261, 15, 946 on our page.
3. How to find GCD of 483, 261, 15, 946 on a calculator?
You can find the GCD of 483, 261, 15, 946 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.