GCD of 968, 576, 882, 108 Calculator

Given Input numbers are 968, 576, 882, 108

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

Divisors of 968

List of positive integer divisors of 968 that divides 968 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 882

List of positive integer divisors of 882 that divides 882 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Greatest Common Divisior

We found the divisors of 968, 576, 882, 108 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 968, 576, 882, 108 is 2.

Therefore, GCD of numbers 968, 576, 882, 108 is 2

Given Input Data is 968, 576, 882, 108

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

Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

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(968, 576) = 69696

GCD(968, 576) = ( 968 x 576 ) / 69696

GCD(968, 576) = 557568 / 69696

GCD(968, 576) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 882

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

LCM(8, 882) = 3528

GCD(8, 882) = ( 8 x 882 ) / 3528

GCD(8, 882) = 7056 / 3528

GCD(8, 882) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 108

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

LCM(2, 108) = 108

GCD(2, 108) = ( 2 x 108 ) / 108

GCD(2, 108) = 216 / 108

GCD(2, 108) = 2

GCD of 968, 576, 882, 108 is 2

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1. What is the GCD of 968, 576, 882, 108?

GCD of 968, 576, 882, 108 is 2

2. Where do I get the detailed procedure to find GCD of 968, 576, 882, 108?

You can find a detailed procedure to find GCD of 968, 576, 882, 108 on our page.

3. How to find GCD of 968, 576, 882, 108 on a calculator?

You can find the GCD of 968, 576, 882, 108 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.