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 480, 228, 49, 641 i.e. 1 largest integer that divides all the numbers equally.
GCD of 480, 228, 49, 641 is 1
GCD(480, 228, 49, 641) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 480, 228, 49, 641 is 1
GCD(480, 228, 49, 641) = 1
Given Input numbers are 480, 228, 49, 641
To find the GCD of numbers using factoring list out all the divisors of each number
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 228
List of positive integer divisors of 228 that divides 228 without a remainder.
1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
Divisors of 49
List of positive integer divisors of 49 that divides 49 without a remainder.
1, 7, 49
Divisors of 641
List of positive integer divisors of 641 that divides 641 without a remainder.
1, 641
Greatest Common Divisior
We found the divisors of 480, 228, 49, 641 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 228, 49, 641 is 1.
Therefore, GCD of numbers 480, 228, 49, 641 is 1
Given Input Data is 480, 228, 49, 641
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 228 is 2 x 2 x 3 x 19
Prime Factorization of 49 is 7 x 7
Prime Factorization of 641 is 641
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(480, 228) = 9120
GCD(480, 228) = ( 480 x 228 ) / 9120
GCD(480, 228) = 109440 / 9120
GCD(480, 228) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 49
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 49) = 588
GCD(12, 49) = ( 12 x 49 ) / 588
GCD(12, 49) = 588 / 588
GCD(12, 49) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 641
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 641) = 641
GCD(1, 641) = ( 1 x 641 ) / 641
GCD(1, 641) = 641 / 641
GCD(1, 641) = 1
GCD of 480, 228, 49, 641 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 480, 228, 49, 641?
GCD of 480, 228, 49, 641 is 1
2. Where do I get the detailed procedure to find GCD of 480, 228, 49, 641?
You can find a detailed procedure to find GCD of 480, 228, 49, 641 on our page.
3. How to find GCD of 480, 228, 49, 641 on a calculator?
You can find the GCD of 480, 228, 49, 641 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.