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 145, 948, 30, 484 i.e. 1 largest integer that divides all the numbers equally.
GCD of 145, 948, 30, 484 is 1
GCD(145, 948, 30, 484) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 145, 948, 30, 484 is 1
GCD(145, 948, 30, 484) = 1
Given Input numbers are 145, 948, 30, 484
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 145
List of positive integer divisors of 145 that divides 145 without a remainder.
1, 5, 29, 145
Divisors of 948
List of positive integer divisors of 948 that divides 948 without a remainder.
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
Divisors of 30
List of positive integer divisors of 30 that divides 30 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30
Divisors of 484
List of positive integer divisors of 484 that divides 484 without a remainder.
1, 2, 4, 11, 22, 44, 121, 242, 484
Greatest Common Divisior
We found the divisors of 145, 948, 30, 484 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 145, 948, 30, 484 is 1.
Therefore, GCD of numbers 145, 948, 30, 484 is 1
Given Input Data is 145, 948, 30, 484
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 145 is 5 x 29
Prime Factorization of 948 is 2 x 2 x 3 x 79
Prime Factorization of 30 is 2 x 3 x 5
Prime Factorization of 484 is 2 x 2 x 11 x 11
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(145, 948) = 137460
GCD(145, 948) = ( 145 x 948 ) / 137460
GCD(145, 948) = 137460 / 137460
GCD(145, 948) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 30
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 30) = 30
GCD(1, 30) = ( 1 x 30 ) / 30
GCD(1, 30) = 30 / 30
GCD(1, 30) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 484
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 484) = 484
GCD(1, 484) = ( 1 x 484 ) / 484
GCD(1, 484) = 484 / 484
GCD(1, 484) = 1
GCD of 145, 948, 30, 484 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 145, 948, 30, 484?
GCD of 145, 948, 30, 484 is 1
2. Where do I get the detailed procedure to find GCD of 145, 948, 30, 484?
You can find a detailed procedure to find GCD of 145, 948, 30, 484 on our page.
3. How to find GCD of 145, 948, 30, 484 on a calculator?
You can find the GCD of 145, 948, 30, 484 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.