GCD of 672, 849, 748, 190 Calculator

Given Input numbers are 672, 849, 748, 190

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

Divisors of 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 849

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

1, 3, 283, 849

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 190

List of positive integer divisors of 190 that divides 190 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190

Greatest Common Divisior

We found the divisors of 672, 849, 748, 190 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 672, 849, 748, 190 is 1.

Therefore, GCD of numbers 672, 849, 748, 190 is 1

Given Input Data is 672, 849, 748, 190

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

Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 849 is 3 x 283

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 190 is 2 x 5 x 19

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(672, 849) = 190176

GCD(672, 849) = ( 672 x 849 ) / 190176

GCD(672, 849) = 570528 / 190176

GCD(672, 849) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 748

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

LCM(3, 748) = 2244

GCD(3, 748) = ( 3 x 748 ) / 2244

GCD(3, 748) = 2244 / 2244

GCD(3, 748) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 190

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

LCM(1, 190) = 190

GCD(1, 190) = ( 1 x 190 ) / 190

GCD(1, 190) = 190 / 190

GCD(1, 190) = 1

GCD of 672, 849, 748, 190 is 1

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1. What is the GCD of 672, 849, 748, 190?

GCD of 672, 849, 748, 190 is 1

2. Where do I get the detailed procedure to find GCD of 672, 849, 748, 190?

You can find a detailed procedure to find GCD of 672, 849, 748, 190 on our page.

3. How to find GCD of 672, 849, 748, 190 on a calculator?

You can find the GCD of 672, 849, 748, 190 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.