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 457, 130, 332, 480 i.e. 1 largest integer that divides all the numbers equally.
GCD of 457, 130, 332, 480 is 1
GCD(457, 130, 332, 480) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 457, 130, 332, 480 is 1
GCD(457, 130, 332, 480) = 1
Given Input numbers are 457, 130, 332, 480
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 457
List of positive integer divisors of 457 that divides 457 without a remainder.
1, 457
Divisors of 130
List of positive integer divisors of 130 that divides 130 without a remainder.
1, 2, 5, 10, 13, 26, 65, 130
Divisors of 332
List of positive integer divisors of 332 that divides 332 without a remainder.
1, 2, 4, 83, 166, 332
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
Greatest Common Divisior
We found the divisors of 457, 130, 332, 480 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 457, 130, 332, 480 is 1.
Therefore, GCD of numbers 457, 130, 332, 480 is 1
Given Input Data is 457, 130, 332, 480
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 457 is 457
Prime Factorization of 130 is 2 x 5 x 13
Prime Factorization of 332 is 2 x 2 x 83
Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5
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(457, 130) = 59410
GCD(457, 130) = ( 457 x 130 ) / 59410
GCD(457, 130) = 59410 / 59410
GCD(457, 130) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 332
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 332) = 332
GCD(1, 332) = ( 1 x 332 ) / 332
GCD(1, 332) = 332 / 332
GCD(1, 332) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 480
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 480) = 480
GCD(1, 480) = ( 1 x 480 ) / 480
GCD(1, 480) = 480 / 480
GCD(1, 480) = 1
GCD of 457, 130, 332, 480 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 457, 130, 332, 480?
GCD of 457, 130, 332, 480 is 1
2. Where do I get the detailed procedure to find GCD of 457, 130, 332, 480?
You can find a detailed procedure to find GCD of 457, 130, 332, 480 on our page.
3. How to find GCD of 457, 130, 332, 480 on a calculator?
You can find the GCD of 457, 130, 332, 480 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.