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 464, 860, 584, 884 i.e. 4 largest integer that divides all the numbers equally.
GCD of 464, 860, 584, 884 is 4
GCD(464, 860, 584, 884) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 464, 860, 584, 884 is 4
GCD(464, 860, 584, 884) = 4
Given Input numbers are 464, 860, 584, 884
To find the GCD of numbers using factoring list out all the divisors of each number
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 860
List of positive integer divisors of 860 that divides 860 without a remainder.
1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
Divisors of 584
List of positive integer divisors of 584 that divides 584 without a remainder.
1, 2, 4, 8, 73, 146, 292, 584
Divisors of 884
List of positive integer divisors of 884 that divides 884 without a remainder.
1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
Greatest Common Divisior
We found the divisors of 464, 860, 584, 884 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 464, 860, 584, 884 is 4.
Therefore, GCD of numbers 464, 860, 584, 884 is 4
Given Input Data is 464, 860, 584, 884
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29
Prime Factorization of 860 is 2 x 2 x 5 x 43
Prime Factorization of 584 is 2 x 2 x 2 x 73
Prime Factorization of 884 is 2 x 2 x 13 x 17
Highest common occurrences in the given inputs are 22
Multiplying them we get the GCD as 4
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(464, 860) = 99760
GCD(464, 860) = ( 464 x 860 ) / 99760
GCD(464, 860) = 399040 / 99760
GCD(464, 860) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 584
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 584) = 584
GCD(4, 584) = ( 4 x 584 ) / 584
GCD(4, 584) = 2336 / 584
GCD(4, 584) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 884
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 884) = 884
GCD(4, 884) = ( 4 x 884 ) / 884
GCD(4, 884) = 3536 / 884
GCD(4, 884) = 4
GCD of 464, 860, 584, 884 is 4
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 464, 860, 584, 884?
GCD of 464, 860, 584, 884 is 4
2. Where do I get the detailed procedure to find GCD of 464, 860, 584, 884?
You can find a detailed procedure to find GCD of 464, 860, 584, 884 on our page.
3. How to find GCD of 464, 860, 584, 884 on a calculator?
You can find the GCD of 464, 860, 584, 884 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.