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 470, 480, 909, 336 i.e. 1 largest integer that divides all the numbers equally.
GCD of 470, 480, 909, 336 is 1
GCD(470, 480, 909, 336) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 470, 480, 909, 336 is 1
GCD(470, 480, 909, 336) = 1
Given Input numbers are 470, 480, 909, 336
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 470
List of positive integer divisors of 470 that divides 470 without a remainder.
1, 2, 5, 10, 47, 94, 235, 470
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 909
List of positive integer divisors of 909 that divides 909 without a remainder.
1, 3, 9, 101, 303, 909
Divisors of 336
List of positive integer divisors of 336 that divides 336 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
Greatest Common Divisior
We found the divisors of 470, 480, 909, 336 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 470, 480, 909, 336 is 1.
Therefore, GCD of numbers 470, 480, 909, 336 is 1
Given Input Data is 470, 480, 909, 336
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 470 is 2 x 5 x 47
Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 909 is 3 x 3 x 101
Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7
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(470, 480) = 22560
GCD(470, 480) = ( 470 x 480 ) / 22560
GCD(470, 480) = 225600 / 22560
GCD(470, 480) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 909
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 909) = 9090
GCD(10, 909) = ( 10 x 909 ) / 9090
GCD(10, 909) = 9090 / 9090
GCD(10, 909) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 336
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 336) = 336
GCD(1, 336) = ( 1 x 336 ) / 336
GCD(1, 336) = 336 / 336
GCD(1, 336) = 1
GCD of 470, 480, 909, 336 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 470, 480, 909, 336?
GCD of 470, 480, 909, 336 is 1
2. Where do I get the detailed procedure to find GCD of 470, 480, 909, 336?
You can find a detailed procedure to find GCD of 470, 480, 909, 336 on our page.
3. How to find GCD of 470, 480, 909, 336 on a calculator?
You can find the GCD of 470, 480, 909, 336 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.