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 200, 888, 464, 584 i.e. 8 largest integer that divides all the numbers equally.
GCD of 200, 888, 464, 584 is 8
GCD(200, 888, 464, 584) = 8
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 200, 888, 464, 584 is 8
GCD(200, 888, 464, 584) = 8
Given Input numbers are 200, 888, 464, 584
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 200
List of positive integer divisors of 200 that divides 200 without a remainder.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
Divisors of 888
List of positive integer divisors of 888 that divides 888 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
Divisors of 464
List of positive integer divisors of 464 that divides 464 without a remainder.
1, 2, 4, 8, 16, 29, 58, 116, 232, 464
Divisors of 584
List of positive integer divisors of 584 that divides 584 without a remainder.
1, 2, 4, 8, 73, 146, 292, 584
Greatest Common Divisior
We found the divisors of 200, 888, 464, 584 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 200, 888, 464, 584 is 8.
Therefore, GCD of numbers 200, 888, 464, 584 is 8
Given Input Data is 200, 888, 464, 584
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5
Prime Factorization of 888 is 2 x 2 x 2 x 3 x 37
Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29
Prime Factorization of 584 is 2 x 2 x 2 x 73
Highest common occurrences in the given inputs are 23
Multiplying them we get the GCD as 8
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(200, 888) = 22200
GCD(200, 888) = ( 200 x 888 ) / 22200
GCD(200, 888) = 177600 / 22200
GCD(200, 888) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 464
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 464) = 464
GCD(8, 464) = ( 8 x 464 ) / 464
GCD(8, 464) = 3712 / 464
GCD(8, 464) = 8
Step3:
Here we consider the GCD from the above i.e. 8 as first number and the next as 584
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 584) = 584
GCD(8, 584) = ( 8 x 584 ) / 584
GCD(8, 584) = 4672 / 584
GCD(8, 584) = 8
GCD of 200, 888, 464, 584 is 8
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 200, 888, 464, 584?
GCD of 200, 888, 464, 584 is 8
2. Where do I get the detailed procedure to find GCD of 200, 888, 464, 584?
You can find a detailed procedure to find GCD of 200, 888, 464, 584 on our page.
3. How to find GCD of 200, 888, 464, 584 on a calculator?
You can find the GCD of 200, 888, 464, 584 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.