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 222, 991, 509, 488 i.e. 1 largest integer that divides all the numbers equally.
GCD of 222, 991, 509, 488 is 1
GCD(222, 991, 509, 488) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 222, 991, 509, 488 is 1
GCD(222, 991, 509, 488) = 1
Given Input numbers are 222, 991, 509, 488
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 222
List of positive integer divisors of 222 that divides 222 without a remainder.
1, 2, 3, 6, 37, 74, 111, 222
Divisors of 991
List of positive integer divisors of 991 that divides 991 without a remainder.
1, 991
Divisors of 509
List of positive integer divisors of 509 that divides 509 without a remainder.
1, 509
Divisors of 488
List of positive integer divisors of 488 that divides 488 without a remainder.
1, 2, 4, 8, 61, 122, 244, 488
Greatest Common Divisior
We found the divisors of 222, 991, 509, 488 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 222, 991, 509, 488 is 1.
Therefore, GCD of numbers 222, 991, 509, 488 is 1
Given Input Data is 222, 991, 509, 488
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 222 is 2 x 3 x 37
Prime Factorization of 991 is 991
Prime Factorization of 509 is 509
Prime Factorization of 488 is 2 x 2 x 2 x 61
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(222, 991) = 220002
GCD(222, 991) = ( 222 x 991 ) / 220002
GCD(222, 991) = 220002 / 220002
GCD(222, 991) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 509
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 509) = 509
GCD(1, 509) = ( 1 x 509 ) / 509
GCD(1, 509) = 509 / 509
GCD(1, 509) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 488
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 488) = 488
GCD(1, 488) = ( 1 x 488 ) / 488
GCD(1, 488) = 488 / 488
GCD(1, 488) = 1
GCD of 222, 991, 509, 488 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 222, 991, 509, 488?
GCD of 222, 991, 509, 488 is 1
2. Where do I get the detailed procedure to find GCD of 222, 991, 509, 488?
You can find a detailed procedure to find GCD of 222, 991, 509, 488 on our page.
3. How to find GCD of 222, 991, 509, 488 on a calculator?
You can find the GCD of 222, 991, 509, 488 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.