GCD of 891, 746, 45, 190 Calculator

Given Input numbers are 891, 746, 45, 190

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

Divisors of 891

List of positive integer divisors of 891 that divides 891 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

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 891, 746, 45, 190 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 891, 746, 45, 190 is 1.

Therefore, GCD of numbers 891, 746, 45, 190 is 1

Given Input Data is 891, 746, 45, 190

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

Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11

Prime Factorization of 746 is 2 x 373

Prime Factorization of 45 is 3 x 3 x 5

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(891, 746) = 664686

GCD(891, 746) = ( 891 x 746 ) / 664686

GCD(891, 746) = 664686 / 664686

GCD(891, 746) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 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 891, 746, 45, 190 is 1

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1. What is the GCD of 891, 746, 45, 190?

GCD of 891, 746, 45, 190 is 1

2. Where do I get the detailed procedure to find GCD of 891, 746, 45, 190?

You can find a detailed procedure to find GCD of 891, 746, 45, 190 on our page.

3. How to find GCD of 891, 746, 45, 190 on a calculator?

You can find the GCD of 891, 746, 45, 190 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.