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 50, 130, 448, 445 i.e. 1 largest integer that divides all the numbers equally.
GCD of 50, 130, 448, 445 is 1
GCD(50, 130, 448, 445) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 50, 130, 448, 445 is 1
GCD(50, 130, 448, 445) = 1
Given Input numbers are 50, 130, 448, 445
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 50
List of positive integer divisors of 50 that divides 50 without a remainder.
1, 2, 5, 10, 25, 50
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 448
List of positive integer divisors of 448 that divides 448 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
Divisors of 445
List of positive integer divisors of 445 that divides 445 without a remainder.
1, 5, 89, 445
Greatest Common Divisior
We found the divisors of 50, 130, 448, 445 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 50, 130, 448, 445 is 1.
Therefore, GCD of numbers 50, 130, 448, 445 is 1
Given Input Data is 50, 130, 448, 445
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 50 is 2 x 5 x 5
Prime Factorization of 130 is 2 x 5 x 13
Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime Factorization of 445 is 5 x 89
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(50, 130) = 650
GCD(50, 130) = ( 50 x 130 ) / 650
GCD(50, 130) = 6500 / 650
GCD(50, 130) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 448
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 448) = 2240
GCD(10, 448) = ( 10 x 448 ) / 2240
GCD(10, 448) = 4480 / 2240
GCD(10, 448) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 445
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 445) = 890
GCD(2, 445) = ( 2 x 445 ) / 890
GCD(2, 445) = 890 / 890
GCD(2, 445) = 1
GCD of 50, 130, 448, 445 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 50, 130, 448, 445?
GCD of 50, 130, 448, 445 is 1
2. Where do I get the detailed procedure to find GCD of 50, 130, 448, 445?
You can find a detailed procedure to find GCD of 50, 130, 448, 445 on our page.
3. How to find GCD of 50, 130, 448, 445 on a calculator?
You can find the GCD of 50, 130, 448, 445 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.