GCD of 896, 108, 114, 953 Calculator

Given Input numbers are 896, 108, 114, 953

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

Divisors of 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

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

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 953

List of positive integer divisors of 953 that divides 953 without a remainder.

1, 953

Greatest Common Divisior

We found the divisors of 896, 108, 114, 953 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 896, 108, 114, 953 is 1.

Therefore, GCD of numbers 896, 108, 114, 953 is 1

Given Input Data is 896, 108, 114, 953

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

Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

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

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 953 is 953

The above numbers do not have any common prime factor. So GCD is 1

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(896, 108) = 24192

GCD(896, 108) = ( 896 x 108 ) / 24192

GCD(896, 108) = 96768 / 24192

GCD(896, 108) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 114

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

LCM(4, 114) = 228

GCD(4, 114) = ( 4 x 114 ) / 228

GCD(4, 114) = 456 / 228

GCD(4, 114) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 953

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

LCM(2, 953) = 1906

GCD(2, 953) = ( 2 x 953 ) / 1906

GCD(2, 953) = 1906 / 1906

GCD(2, 953) = 1

GCD of 896, 108, 114, 953 is 1

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1. What is the GCD of 896, 108, 114, 953?

GCD of 896, 108, 114, 953 is 1

2. Where do I get the detailed procedure to find GCD of 896, 108, 114, 953?

You can find a detailed procedure to find GCD of 896, 108, 114, 953 on our page.

3. How to find GCD of 896, 108, 114, 953 on a calculator?

You can find the GCD of 896, 108, 114, 953 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.