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 360, 991, 919, 491 i.e. 1 largest integer that divides all the numbers equally.
GCD of 360, 991, 919, 491 is 1
GCD(360, 991, 919, 491) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 360, 991, 919, 491 is 1
GCD(360, 991, 919, 491) = 1
Given Input numbers are 360, 991, 919, 491
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 360
List of positive integer divisors of 360 that divides 360 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 991
List of positive integer divisors of 991 that divides 991 without a remainder.
1, 991
Divisors of 919
List of positive integer divisors of 919 that divides 919 without a remainder.
1, 919
Divisors of 491
List of positive integer divisors of 491 that divides 491 without a remainder.
1, 491
Greatest Common Divisior
We found the divisors of 360, 991, 919, 491 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 991, 919, 491 is 1.
Therefore, GCD of numbers 360, 991, 919, 491 is 1
Given Input Data is 360, 991, 919, 491
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 991 is 991
Prime Factorization of 919 is 919
Prime Factorization of 491 is 491
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(360, 991) = 356760
GCD(360, 991) = ( 360 x 991 ) / 356760
GCD(360, 991) = 356760 / 356760
GCD(360, 991) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 919
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 919) = 919
GCD(1, 919) = ( 1 x 919 ) / 919
GCD(1, 919) = 919 / 919
GCD(1, 919) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 491
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 491) = 491
GCD(1, 491) = ( 1 x 491 ) / 491
GCD(1, 491) = 491 / 491
GCD(1, 491) = 1
GCD of 360, 991, 919, 491 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 360, 991, 919, 491?
GCD of 360, 991, 919, 491 is 1
2. Where do I get the detailed procedure to find GCD of 360, 991, 919, 491?
You can find a detailed procedure to find GCD of 360, 991, 919, 491 on our page.
3. How to find GCD of 360, 991, 919, 491 on a calculator?
You can find the GCD of 360, 991, 919, 491 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.