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 984, 297, 42, 569 i.e. 1 largest integer that divides all the numbers equally.
GCD of 984, 297, 42, 569 is 1
GCD(984, 297, 42, 569) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 984, 297, 42, 569 is 1
GCD(984, 297, 42, 569) = 1
Given Input numbers are 984, 297, 42, 569
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 984
List of positive integer divisors of 984 that divides 984 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
Divisors of 297
List of positive integer divisors of 297 that divides 297 without a remainder.
1, 3, 9, 11, 27, 33, 99, 297
Divisors of 42
List of positive integer divisors of 42 that divides 42 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42
Divisors of 569
List of positive integer divisors of 569 that divides 569 without a remainder.
1, 569
Greatest Common Divisior
We found the divisors of 984, 297, 42, 569 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 984, 297, 42, 569 is 1.
Therefore, GCD of numbers 984, 297, 42, 569 is 1
Given Input Data is 984, 297, 42, 569
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41
Prime Factorization of 297 is 3 x 3 x 3 x 11
Prime Factorization of 42 is 2 x 3 x 7
Prime Factorization of 569 is 569
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(984, 297) = 97416
GCD(984, 297) = ( 984 x 297 ) / 97416
GCD(984, 297) = 292248 / 97416
GCD(984, 297) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 42
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 42) = 42
GCD(3, 42) = ( 3 x 42 ) / 42
GCD(3, 42) = 126 / 42
GCD(3, 42) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 569
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 569) = 1707
GCD(3, 569) = ( 3 x 569 ) / 1707
GCD(3, 569) = 1707 / 1707
GCD(3, 569) = 1
GCD of 984, 297, 42, 569 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 984, 297, 42, 569?
GCD of 984, 297, 42, 569 is 1
2. Where do I get the detailed procedure to find GCD of 984, 297, 42, 569?
You can find a detailed procedure to find GCD of 984, 297, 42, 569 on our page.
3. How to find GCD of 984, 297, 42, 569 on a calculator?
You can find the GCD of 984, 297, 42, 569 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.