GCD of 216, 860, 752, 898 Calculator

Given Input numbers are 216, 860, 752, 898

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

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 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Greatest Common Divisior

We found the divisors of 216, 860, 752, 898 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 216, 860, 752, 898 is 2.

Therefore, GCD of numbers 216, 860, 752, 898 is 2

Given Input Data is 216, 860, 752, 898

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 860 is 2 x 2 x 5 x 43

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

Prime Factorization of 898 is 2 x 449

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(216, 860) = 46440

GCD(216, 860) = ( 216 x 860 ) / 46440

GCD(216, 860) = 185760 / 46440

GCD(216, 860) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 752

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(4, 752) = 752

GCD(4, 752) = ( 4 x 752 ) / 752

GCD(4, 752) = 3008 / 752

GCD(4, 752) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 898

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(4, 898) = 1796

GCD(4, 898) = ( 4 x 898 ) / 1796

GCD(4, 898) = 3592 / 1796

GCD(4, 898) = 2

GCD of 216, 860, 752, 898 is 2

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1. What is the GCD of 216, 860, 752, 898?

GCD of 216, 860, 752, 898 is 2

2. Where do I get the detailed procedure to find GCD of 216, 860, 752, 898?

You can find a detailed procedure to find GCD of 216, 860, 752, 898 on our page.

3. How to find GCD of 216, 860, 752, 898 on a calculator?

You can find the GCD of 216, 860, 752, 898 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.