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, 907, 218, 676 i.e. 1 largest integer that divides all the numbers equally.
GCD of 480, 907, 218, 676 is 1
GCD(480, 907, 218, 676) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 480, 907, 218, 676 is 1
GCD(480, 907, 218, 676) = 1
Given Input numbers are 480, 907, 218, 676
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 907
List of positive integer divisors of 907 that divides 907 without a remainder.
1, 907
Divisors of 218
List of positive integer divisors of 218 that divides 218 without a remainder.
1, 2, 109, 218
Divisors of 676
List of positive integer divisors of 676 that divides 676 without a remainder.
1, 2, 4, 13, 26, 52, 169, 338, 676
Greatest Common Divisior
We found the divisors of 480, 907, 218, 676 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 907, 218, 676 is 1.
Therefore, GCD of numbers 480, 907, 218, 676 is 1
Given Input Data is 480, 907, 218, 676
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 907 is 907
Prime Factorization of 218 is 2 x 109
Prime Factorization of 676 is 2 x 2 x 13 x 13
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, 907) = 435360
GCD(480, 907) = ( 480 x 907 ) / 435360
GCD(480, 907) = 435360 / 435360
GCD(480, 907) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 218
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 218) = 218
GCD(1, 218) = ( 1 x 218 ) / 218
GCD(1, 218) = 218 / 218
GCD(1, 218) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 676
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 676) = 676
GCD(1, 676) = ( 1 x 676 ) / 676
GCD(1, 676) = 676 / 676
GCD(1, 676) = 1
GCD of 480, 907, 218, 676 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 480, 907, 218, 676?
GCD of 480, 907, 218, 676 is 1
2. Where do I get the detailed procedure to find GCD of 480, 907, 218, 676?
You can find a detailed procedure to find GCD of 480, 907, 218, 676 on our page.
3. How to find GCD of 480, 907, 218, 676 on a calculator?
You can find the GCD of 480, 907, 218, 676 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.