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, 887, 40, 359 i.e. 1 largest integer that divides all the numbers equally.
GCD of 119, 887, 40, 359 is 1
GCD(119, 887, 40, 359) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 119, 887, 40, 359 is 1
GCD(119, 887, 40, 359) = 1
Given Input numbers are 119, 887, 40, 359
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 887
List of positive integer divisors of 887 that divides 887 without a remainder.
1, 887
Divisors of 40
List of positive integer divisors of 40 that divides 40 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40
Divisors of 359
List of positive integer divisors of 359 that divides 359 without a remainder.
1, 359
Greatest Common Divisior
We found the divisors of 119, 887, 40, 359 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 119, 887, 40, 359 is 1.
Therefore, GCD of numbers 119, 887, 40, 359 is 1
Given Input Data is 119, 887, 40, 359
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 119 is 7 x 17
Prime Factorization of 887 is 887
Prime Factorization of 40 is 2 x 2 x 2 x 5
Prime Factorization of 359 is 359
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, 887) = 105553
GCD(119, 887) = ( 119 x 887 ) / 105553
GCD(119, 887) = 105553 / 105553
GCD(119, 887) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 40
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 40) = 40
GCD(1, 40) = ( 1 x 40 ) / 40
GCD(1, 40) = 40 / 40
GCD(1, 40) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 359
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 359) = 359
GCD(1, 359) = ( 1 x 359 ) / 359
GCD(1, 359) = 359 / 359
GCD(1, 359) = 1
GCD of 119, 887, 40, 359 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 119, 887, 40, 359?
GCD of 119, 887, 40, 359 is 1
2. Where do I get the detailed procedure to find GCD of 119, 887, 40, 359?
You can find a detailed procedure to find GCD of 119, 887, 40, 359 on our page.
3. How to find GCD of 119, 887, 40, 359 on a calculator?
You can find the GCD of 119, 887, 40, 359 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.