GCD of 896, 168, 117, 100 Calculator

Given Input numbers are 896, 168, 117, 100

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 168

List of positive integer divisors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Greatest Common Divisior

We found the divisors of 896, 168, 117, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 896, 168, 117, 100 is 1.

Therefore, GCD of numbers 896, 168, 117, 100 is 1

Given Input Data is 896, 168, 117, 100

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 168 is 2 x 2 x 2 x 3 x 7

Prime Factorization of 117 is 3 x 3 x 13

Prime Factorization of 100 is 2 x 2 x 5 x 5

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, 168) = 2688

GCD(896, 168) = ( 896 x 168 ) / 2688

GCD(896, 168) = 150528 / 2688

GCD(896, 168) = 56

Step2:

Here we consider the GCD from the above i.e. 56 as first number and the next as 117

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

LCM(56, 117) = 6552

GCD(56, 117) = ( 56 x 117 ) / 6552

GCD(56, 117) = 6552 / 6552

GCD(56, 117) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 100

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

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

GCD(1, 100) = 100 / 100

GCD(1, 100) = 1

GCD of 896, 168, 117, 100 is 1

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1. What is the GCD of 896, 168, 117, 100?

GCD of 896, 168, 117, 100 is 1

2. Where do I get the detailed procedure to find GCD of 896, 168, 117, 100?

You can find a detailed procedure to find GCD of 896, 168, 117, 100 on our page.

3. How to find GCD of 896, 168, 117, 100 on a calculator?

You can find the GCD of 896, 168, 117, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.