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 119, 455, 320, 457 i.e. 1 largest integer that divides all the numbers equally.
GCD of 119, 455, 320, 457 is 1
GCD(119, 455, 320, 457) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 119, 455, 320, 457 is 1
GCD(119, 455, 320, 457) = 1
Given Input numbers are 119, 455, 320, 457
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 119
List of positive integer divisors of 119 that divides 119 without a remainder.
1, 7, 17, 119
Divisors of 455
List of positive integer divisors of 455 that divides 455 without a remainder.
1, 5, 7, 13, 35, 65, 91, 455
Divisors of 320
List of positive integer divisors of 320 that divides 320 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
Divisors of 457
List of positive integer divisors of 457 that divides 457 without a remainder.
1, 457
Greatest Common Divisior
We found the divisors of 119, 455, 320, 457 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 119, 455, 320, 457 is 1.
Therefore, GCD of numbers 119, 455, 320, 457 is 1
Given Input Data is 119, 455, 320, 457
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 119 is 7 x 17
Prime Factorization of 455 is 5 x 7 x 13
Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 457 is 457
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(119, 455) = 7735
GCD(119, 455) = ( 119 x 455 ) / 7735
GCD(119, 455) = 54145 / 7735
GCD(119, 455) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 320
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 320) = 2240
GCD(7, 320) = ( 7 x 320 ) / 2240
GCD(7, 320) = 2240 / 2240
GCD(7, 320) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 457
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 457) = 457
GCD(1, 457) = ( 1 x 457 ) / 457
GCD(1, 457) = 457 / 457
GCD(1, 457) = 1
GCD of 119, 455, 320, 457 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 119, 455, 320, 457?
GCD of 119, 455, 320, 457 is 1
2. Where do I get the detailed procedure to find GCD of 119, 455, 320, 457?
You can find a detailed procedure to find GCD of 119, 455, 320, 457 on our page.
3. How to find GCD of 119, 455, 320, 457 on a calculator?
You can find the GCD of 119, 455, 320, 457 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.