GCD of 843, 896, 58, 649 Calculator

Given Input numbers are 843, 896, 58, 649

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

Divisors of 843

List of positive integer divisors of 843 that divides 843 without a remainder.

1, 3, 281, 843

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 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Greatest Common Divisior

We found the divisors of 843, 896, 58, 649 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 843, 896, 58, 649 is 1.

Therefore, GCD of numbers 843, 896, 58, 649 is 1

Given Input Data is 843, 896, 58, 649

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

Prime Factorization of 843 is 3 x 281

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

Prime Factorization of 58 is 2 x 29

Prime Factorization of 649 is 11 x 59

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(843, 896) = 755328

GCD(843, 896) = ( 843 x 896 ) / 755328

GCD(843, 896) = 755328 / 755328

GCD(843, 896) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 58

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

LCM(1, 58) = 58

GCD(1, 58) = ( 1 x 58 ) / 58

GCD(1, 58) = 58 / 58

GCD(1, 58) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 649

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

LCM(1, 649) = 649

GCD(1, 649) = ( 1 x 649 ) / 649

GCD(1, 649) = 649 / 649

GCD(1, 649) = 1

GCD of 843, 896, 58, 649 is 1

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1. What is the GCD of 843, 896, 58, 649?

GCD of 843, 896, 58, 649 is 1

2. Where do I get the detailed procedure to find GCD of 843, 896, 58, 649?

You can find a detailed procedure to find GCD of 843, 896, 58, 649 on our page.

3. How to find GCD of 843, 896, 58, 649 on a calculator?

You can find the GCD of 843, 896, 58, 649 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.