GCD of 944, 849, 851, 654 Calculator

Given Input numbers are 944, 849, 851, 654

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

Divisors of 944

List of positive integer divisors of 944 that divides 944 without a remainder.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

Divisors of 849

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

1, 3, 283, 849

Divisors of 851

List of positive integer divisors of 851 that divides 851 without a remainder.

1, 23, 37, 851

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Greatest Common Divisior

We found the divisors of 944, 849, 851, 654 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 944, 849, 851, 654 is 1.

Therefore, GCD of numbers 944, 849, 851, 654 is 1

Given Input Data is 944, 849, 851, 654

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

Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59

Prime Factorization of 849 is 3 x 283

Prime Factorization of 851 is 23 x 37

Prime Factorization of 654 is 2 x 3 x 109

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(944, 849) = 801456

GCD(944, 849) = ( 944 x 849 ) / 801456

GCD(944, 849) = 801456 / 801456

GCD(944, 849) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 851

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

LCM(1, 851) = 851

GCD(1, 851) = ( 1 x 851 ) / 851

GCD(1, 851) = 851 / 851

GCD(1, 851) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 654

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

LCM(1, 654) = 654

GCD(1, 654) = ( 1 x 654 ) / 654

GCD(1, 654) = 654 / 654

GCD(1, 654) = 1

GCD of 944, 849, 851, 654 is 1

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1. What is the GCD of 944, 849, 851, 654?

GCD of 944, 849, 851, 654 is 1

2. Where do I get the detailed procedure to find GCD of 944, 849, 851, 654?

You can find a detailed procedure to find GCD of 944, 849, 851, 654 on our page.

3. How to find GCD of 944, 849, 851, 654 on a calculator?

You can find the GCD of 944, 849, 851, 654 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.