GCD of 847, 656, 71, 983 Calculator

Given Input numbers are 847, 656, 71, 983

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

Divisors of 847

List of positive integer divisors of 847 that divides 847 without a remainder.

1, 7, 11, 77, 121, 847

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 983

List of positive integer divisors of 983 that divides 983 without a remainder.

1, 983

Greatest Common Divisior

We found the divisors of 847, 656, 71, 983 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 847, 656, 71, 983 is 1.

Therefore, GCD of numbers 847, 656, 71, 983 is 1

Given Input Data is 847, 656, 71, 983

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

Prime Factorization of 847 is 7 x 11 x 11

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

Prime Factorization of 71 is 71

Prime Factorization of 983 is 983

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(847, 656) = 555632

GCD(847, 656) = ( 847 x 656 ) / 555632

GCD(847, 656) = 555632 / 555632

GCD(847, 656) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 983

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

LCM(1, 983) = 983

GCD(1, 983) = ( 1 x 983 ) / 983

GCD(1, 983) = 983 / 983

GCD(1, 983) = 1

GCD of 847, 656, 71, 983 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 120, 907, 86, 892
• GCD of 580, 267, 44, 554
• GCD of 523, 436, 40, 415
• GCD of 355, 367, 14, 498
• GCD of 366, 194, 34, 948

1. What is the GCD of 847, 656, 71, 983?

GCD of 847, 656, 71, 983 is 1

2. Where do I get the detailed procedure to find GCD of 847, 656, 71, 983?

You can find a detailed procedure to find GCD of 847, 656, 71, 983 on our page.

3. How to find GCD of 847, 656, 71, 983 on a calculator?

You can find the GCD of 847, 656, 71, 983 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.