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 569, 500, 99, 857 i.e. 1 largest integer that divides all the numbers equally.
GCD of 569, 500, 99, 857 is 1
GCD(569, 500, 99, 857) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 569, 500, 99, 857 is 1
GCD(569, 500, 99, 857) = 1
Given Input numbers are 569, 500, 99, 857
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 569
List of positive integer divisors of 569 that divides 569 without a remainder.
1, 569
Divisors of 500
List of positive integer divisors of 500 that divides 500 without a remainder.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Divisors of 857
List of positive integer divisors of 857 that divides 857 without a remainder.
1, 857
Greatest Common Divisior
We found the divisors of 569, 500, 99, 857 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 569, 500, 99, 857 is 1.
Therefore, GCD of numbers 569, 500, 99, 857 is 1
Given Input Data is 569, 500, 99, 857
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 569 is 569
Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5
Prime Factorization of 99 is 3 x 3 x 11
Prime Factorization of 857 is 857
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(569, 500) = 284500
GCD(569, 500) = ( 569 x 500 ) / 284500
GCD(569, 500) = 284500 / 284500
GCD(569, 500) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 99
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 99) = 99
GCD(1, 99) = ( 1 x 99 ) / 99
GCD(1, 99) = 99 / 99
GCD(1, 99) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 857
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 857) = 857
GCD(1, 857) = ( 1 x 857 ) / 857
GCD(1, 857) = 857 / 857
GCD(1, 857) = 1
GCD of 569, 500, 99, 857 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 569, 500, 99, 857?
GCD of 569, 500, 99, 857 is 1
2. Where do I get the detailed procedure to find GCD of 569, 500, 99, 857?
You can find a detailed procedure to find GCD of 569, 500, 99, 857 on our page.
3. How to find GCD of 569, 500, 99, 857 on a calculator?
You can find the GCD of 569, 500, 99, 857 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.