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 485, 195, 54, 348 i.e. 1 largest integer that divides all the numbers equally.
GCD of 485, 195, 54, 348 is 1
GCD(485, 195, 54, 348) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 485, 195, 54, 348 is 1
GCD(485, 195, 54, 348) = 1
Given Input numbers are 485, 195, 54, 348
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 485
List of positive integer divisors of 485 that divides 485 without a remainder.
1, 5, 97, 485
Divisors of 195
List of positive integer divisors of 195 that divides 195 without a remainder.
1, 3, 5, 13, 15, 39, 65, 195
Divisors of 54
List of positive integer divisors of 54 that divides 54 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54
Divisors of 348
List of positive integer divisors of 348 that divides 348 without a remainder.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
Greatest Common Divisior
We found the divisors of 485, 195, 54, 348 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 485, 195, 54, 348 is 1.
Therefore, GCD of numbers 485, 195, 54, 348 is 1
Given Input Data is 485, 195, 54, 348
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 485 is 5 x 97
Prime Factorization of 195 is 3 x 5 x 13
Prime Factorization of 54 is 2 x 3 x 3 x 3
Prime Factorization of 348 is 2 x 2 x 3 x 29
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(485, 195) = 18915
GCD(485, 195) = ( 485 x 195 ) / 18915
GCD(485, 195) = 94575 / 18915
GCD(485, 195) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 54
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 54) = 270
GCD(5, 54) = ( 5 x 54 ) / 270
GCD(5, 54) = 270 / 270
GCD(5, 54) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 348
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 348) = 348
GCD(1, 348) = ( 1 x 348 ) / 348
GCD(1, 348) = 348 / 348
GCD(1, 348) = 1
GCD of 485, 195, 54, 348 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 485, 195, 54, 348?
GCD of 485, 195, 54, 348 is 1
2. Where do I get the detailed procedure to find GCD of 485, 195, 54, 348?
You can find a detailed procedure to find GCD of 485, 195, 54, 348 on our page.
3. How to find GCD of 485, 195, 54, 348 on a calculator?
You can find the GCD of 485, 195, 54, 348 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.