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, 444, 99, 357 i.e. 3 largest integer that divides all the numbers equally.
GCD of 480, 444, 99, 357 is 3
GCD(480, 444, 99, 357) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 480, 444, 99, 357 is 3
GCD(480, 444, 99, 357) = 3
Given Input numbers are 480, 444, 99, 357
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 444
List of positive integer divisors of 444 that divides 444 without a remainder.
1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Divisors of 357
List of positive integer divisors of 357 that divides 357 without a remainder.
1, 3, 7, 17, 21, 51, 119, 357
Greatest Common Divisior
We found the divisors of 480, 444, 99, 357 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 444, 99, 357 is 3.
Therefore, GCD of numbers 480, 444, 99, 357 is 3
Given Input Data is 480, 444, 99, 357
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 444 is 2 x 2 x 3 x 37
Prime Factorization of 99 is 3 x 3 x 11
Prime Factorization of 357 is 3 x 7 x 17
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
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, 444) = 17760
GCD(480, 444) = ( 480 x 444 ) / 17760
GCD(480, 444) = 213120 / 17760
GCD(480, 444) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 99
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 99) = 396
GCD(12, 99) = ( 12 x 99 ) / 396
GCD(12, 99) = 1188 / 396
GCD(12, 99) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 357
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 357) = 357
GCD(3, 357) = ( 3 x 357 ) / 357
GCD(3, 357) = 1071 / 357
GCD(3, 357) = 3
GCD of 480, 444, 99, 357 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 480, 444, 99, 357?
GCD of 480, 444, 99, 357 is 3
2. Where do I get the detailed procedure to find GCD of 480, 444, 99, 357?
You can find a detailed procedure to find GCD of 480, 444, 99, 357 on our page.
3. How to find GCD of 480, 444, 99, 357 on a calculator?
You can find the GCD of 480, 444, 99, 357 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.