GCD of 84, 528, 838, 888 Calculator

Given Input numbers are 84, 528, 838, 888

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

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

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

Greatest Common Divisior

We found the divisors of 84, 528, 838, 888 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 84, 528, 838, 888 is 2.

Therefore, GCD of numbers 84, 528, 838, 888 is 2

Given Input Data is 84, 528, 838, 888

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

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

Prime Factorization of 838 is 2 x 419

Prime Factorization of 888 is 2 x 2 x 2 x 3 x 37

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(84, 528) = 3696

GCD(84, 528) = ( 84 x 528 ) / 3696

GCD(84, 528) = 44352 / 3696

GCD(84, 528) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 838

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

LCM(12, 838) = 5028

GCD(12, 838) = ( 12 x 838 ) / 5028

GCD(12, 838) = 10056 / 5028

GCD(12, 838) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 888

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

LCM(2, 888) = 888

GCD(2, 888) = ( 2 x 888 ) / 888

GCD(2, 888) = 1776 / 888

GCD(2, 888) = 2

GCD of 84, 528, 838, 888 is 2

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1. What is the GCD of 84, 528, 838, 888?

GCD of 84, 528, 838, 888 is 2

2. Where do I get the detailed procedure to find GCD of 84, 528, 838, 888?

You can find a detailed procedure to find GCD of 84, 528, 838, 888 on our page.

3. How to find GCD of 84, 528, 838, 888 on a calculator?

You can find the GCD of 84, 528, 838, 888 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.