GCD of 112, 849, 628 Calculator

Given Input numbers are 112, 849, 628

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

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 849

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

1, 3, 283, 849

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Greatest Common Divisior

We found the divisors of 112, 849, 628 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 849, 628 is 1.

Therefore, GCD of numbers 112, 849, 628 is 1

Given Input Data is 112, 849, 628

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

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 849 is 3 x 283

Prime Factorization of 628 is 2 x 2 x 157

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(112, 849) = 95088

GCD(112, 849) = ( 112 x 849 ) / 95088

GCD(112, 849) = 95088 / 95088

GCD(112, 849) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 628

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

LCM(1, 628) = 628

GCD(1, 628) = ( 1 x 628 ) / 628

GCD(1, 628) = 628 / 628

GCD(1, 628) = 1

GCD of 112, 849, 628 is 1

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• GCD of 735, 119, 763
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1. What is the GCD of 112, 849, 628?

GCD of 112, 849, 628 is 1

2. Where do I get the detailed procedure to find GCD of 112, 849, 628?

You can find a detailed procedure to find GCD of 112, 849, 628 on our page.

3. How to find GCD of 112, 849, 628 on a calculator?

You can find the GCD of 112, 849, 628 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.