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 61, 480, 288, 839 i.e. 1 largest integer that divides all the numbers equally.
GCD of 61, 480, 288, 839 is 1
GCD(61, 480, 288, 839) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 61, 480, 288, 839 is 1
GCD(61, 480, 288, 839) = 1
Given Input numbers are 61, 480, 288, 839
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 61
List of positive integer divisors of 61 that divides 61 without a remainder.
1, 61
Divisors of 480
List of positive integer divisors of 480 that divides 480 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
Divisors of 288
List of positive integer divisors of 288 that divides 288 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
Divisors of 839
List of positive integer divisors of 839 that divides 839 without a remainder.
1, 839
Greatest Common Divisior
We found the divisors of 61, 480, 288, 839 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 61, 480, 288, 839 is 1.
Therefore, GCD of numbers 61, 480, 288, 839 is 1
Given Input Data is 61, 480, 288, 839
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 61 is 61
Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 839 is 839
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(61, 480) = 29280
GCD(61, 480) = ( 61 x 480 ) / 29280
GCD(61, 480) = 29280 / 29280
GCD(61, 480) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 288
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 288) = 288
GCD(1, 288) = ( 1 x 288 ) / 288
GCD(1, 288) = 288 / 288
GCD(1, 288) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 839
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 839) = 839
GCD(1, 839) = ( 1 x 839 ) / 839
GCD(1, 839) = 839 / 839
GCD(1, 839) = 1
GCD of 61, 480, 288, 839 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 61, 480, 288, 839?
GCD of 61, 480, 288, 839 is 1
2. Where do I get the detailed procedure to find GCD of 61, 480, 288, 839?
You can find a detailed procedure to find GCD of 61, 480, 288, 839 on our page.
3. How to find GCD of 61, 480, 288, 839 on a calculator?
You can find the GCD of 61, 480, 288, 839 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.