GCD of 896, 820, 908, 921 Calculator

Given Input numbers are 896, 820, 908, 921

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 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 908

List of positive integer divisors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Greatest Common Divisior

We found the divisors of 896, 820, 908, 921 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 896, 820, 908, 921 is 1.

Therefore, GCD of numbers 896, 820, 908, 921 is 1

Given Input Data is 896, 820, 908, 921

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 820 is 2 x 2 x 5 x 41

Prime Factorization of 908 is 2 x 2 x 227

Prime Factorization of 921 is 3 x 307

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, 820) = 183680

GCD(896, 820) = ( 896 x 820 ) / 183680

GCD(896, 820) = 734720 / 183680

GCD(896, 820) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 908

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

LCM(4, 908) = 908

GCD(4, 908) = ( 4 x 908 ) / 908

GCD(4, 908) = 3632 / 908

GCD(4, 908) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 921

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

LCM(4, 921) = 3684

GCD(4, 921) = ( 4 x 921 ) / 3684

GCD(4, 921) = 3684 / 3684

GCD(4, 921) = 1

GCD of 896, 820, 908, 921 is 1

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1. What is the GCD of 896, 820, 908, 921?

GCD of 896, 820, 908, 921 is 1

2. Where do I get the detailed procedure to find GCD of 896, 820, 908, 921?

You can find a detailed procedure to find GCD of 896, 820, 908, 921 on our page.

3. How to find GCD of 896, 820, 908, 921 on a calculator?

You can find the GCD of 896, 820, 908, 921 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.