GCD of 896, 369, 118, 849 Calculator

Given Input numbers are 896, 369, 118, 849

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 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Greatest Common Divisior

We found the divisors of 896, 369, 118, 849 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 896, 369, 118, 849 is 1.

Therefore, GCD of numbers 896, 369, 118, 849 is 1

Given Input Data is 896, 369, 118, 849

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 369 is 3 x 3 x 41

Prime Factorization of 118 is 2 x 59

Prime Factorization of 849 is 3 x 283

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, 369) = 330624

GCD(896, 369) = ( 896 x 369 ) / 330624

GCD(896, 369) = 330624 / 330624

GCD(896, 369) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 118

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

LCM(1, 118) = 118

GCD(1, 118) = ( 1 x 118 ) / 118

GCD(1, 118) = 118 / 118

GCD(1, 118) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 849

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

LCM(1, 849) = 849

GCD(1, 849) = ( 1 x 849 ) / 849

GCD(1, 849) = 849 / 849

GCD(1, 849) = 1

GCD of 896, 369, 118, 849 is 1

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1. What is the GCD of 896, 369, 118, 849?

GCD of 896, 369, 118, 849 is 1

2. Where do I get the detailed procedure to find GCD of 896, 369, 118, 849?

You can find a detailed procedure to find GCD of 896, 369, 118, 849 on our page.

3. How to find GCD of 896, 369, 118, 849 on a calculator?

You can find the GCD of 896, 369, 118, 849 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.