GCD of 884, 810, 88, 676 Calculator

Given Input numbers are 884, 810, 88, 676

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

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

Divisors of 810

List of positive integer divisors of 810 that divides 810 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

Divisors of 88

List of positive integer divisors of 88 that divides 88 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Greatest Common Divisior

We found the divisors of 884, 810, 88, 676 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 884, 810, 88, 676 is 2.

Therefore, GCD of numbers 884, 810, 88, 676 is 2

Given Input Data is 884, 810, 88, 676

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

Prime Factorization of 884 is 2 x 2 x 13 x 17

Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5

Prime Factorization of 88 is 2 x 2 x 2 x 11

Prime Factorization of 676 is 2 x 2 x 13 x 13

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(884, 810) = 358020

GCD(884, 810) = ( 884 x 810 ) / 358020

GCD(884, 810) = 716040 / 358020

GCD(884, 810) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 88

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

LCM(2, 88) = 88

GCD(2, 88) = ( 2 x 88 ) / 88

GCD(2, 88) = 176 / 88

GCD(2, 88) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 676

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

LCM(2, 676) = 676

GCD(2, 676) = ( 2 x 676 ) / 676

GCD(2, 676) = 1352 / 676

GCD(2, 676) = 2

GCD of 884, 810, 88, 676 is 2

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1. What is the GCD of 884, 810, 88, 676?

GCD of 884, 810, 88, 676 is 2

2. Where do I get the detailed procedure to find GCD of 884, 810, 88, 676?

You can find a detailed procedure to find GCD of 884, 810, 88, 676 on our page.

3. How to find GCD of 884, 810, 88, 676 on a calculator?

You can find the GCD of 884, 810, 88, 676 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.