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 132, 103, 480, 371 i.e. 1 largest integer that divides all the numbers equally.
GCD of 132, 103, 480, 371 is 1
GCD(132, 103, 480, 371) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 132, 103, 480, 371 is 1
GCD(132, 103, 480, 371) = 1
Given Input numbers are 132, 103, 480, 371
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 132
List of positive integer divisors of 132 that divides 132 without a remainder.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
Divisors of 103
List of positive integer divisors of 103 that divides 103 without a remainder.
1, 103
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 371
List of positive integer divisors of 371 that divides 371 without a remainder.
1, 7, 53, 371
Greatest Common Divisior
We found the divisors of 132, 103, 480, 371 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 132, 103, 480, 371 is 1.
Therefore, GCD of numbers 132, 103, 480, 371 is 1
Given Input Data is 132, 103, 480, 371
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 132 is 2 x 2 x 3 x 11
Prime Factorization of 103 is 103
Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 371 is 7 x 53
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(132, 103) = 13596
GCD(132, 103) = ( 132 x 103 ) / 13596
GCD(132, 103) = 13596 / 13596
GCD(132, 103) = 1
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 371
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 371) = 371
GCD(1, 371) = ( 1 x 371 ) / 371
GCD(1, 371) = 371 / 371
GCD(1, 371) = 1
GCD of 132, 103, 480, 371 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 132, 103, 480, 371?
GCD of 132, 103, 480, 371 is 1
2. Where do I get the detailed procedure to find GCD of 132, 103, 480, 371?
You can find a detailed procedure to find GCD of 132, 103, 480, 371 on our page.
3. How to find GCD of 132, 103, 480, 371 on a calculator?
You can find the GCD of 132, 103, 480, 371 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.