GCD of 464, 860, 584, 884 Calculator

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

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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.