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 120, 485, 607, 447 i.e. 1 largest integer that divides all the numbers equally.
GCD of 120, 485, 607, 447 is 1
GCD(120, 485, 607, 447) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 120, 485, 607, 447 is 1
GCD(120, 485, 607, 447) = 1
Given Input numbers are 120, 485, 607, 447
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 120
List of positive integer divisors of 120 that divides 120 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 485
List of positive integer divisors of 485 that divides 485 without a remainder.
1, 5, 97, 485
Divisors of 607
List of positive integer divisors of 607 that divides 607 without a remainder.
1, 607
Divisors of 447
List of positive integer divisors of 447 that divides 447 without a remainder.
1, 3, 149, 447
Greatest Common Divisior
We found the divisors of 120, 485, 607, 447 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 120, 485, 607, 447 is 1.
Therefore, GCD of numbers 120, 485, 607, 447 is 1
Given Input Data is 120, 485, 607, 447
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5
Prime Factorization of 485 is 5 x 97
Prime Factorization of 607 is 607
Prime Factorization of 447 is 3 x 149
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(120, 485) = 11640
GCD(120, 485) = ( 120 x 485 ) / 11640
GCD(120, 485) = 58200 / 11640
GCD(120, 485) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 607
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 607) = 3035
GCD(5, 607) = ( 5 x 607 ) / 3035
GCD(5, 607) = 3035 / 3035
GCD(5, 607) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 447
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 447) = 447
GCD(1, 447) = ( 1 x 447 ) / 447
GCD(1, 447) = 447 / 447
GCD(1, 447) = 1
GCD of 120, 485, 607, 447 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 120, 485, 607, 447?
GCD of 120, 485, 607, 447 is 1
2. Where do I get the detailed procedure to find GCD of 120, 485, 607, 447?
You can find a detailed procedure to find GCD of 120, 485, 607, 447 on our page.
3. How to find GCD of 120, 485, 607, 447 on a calculator?
You can find the GCD of 120, 485, 607, 447 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.