GCD of 33, 186, 298, 746 Calculator

Given Input numbers are 33, 186, 298, 746

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

Divisors of 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

Divisors of 186

List of positive integer divisors of 186 that divides 186 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 746

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

1, 2, 373, 746

Greatest Common Divisior

We found the divisors of 33, 186, 298, 746 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 33, 186, 298, 746 is 1.

Therefore, GCD of numbers 33, 186, 298, 746 is 1

Given Input Data is 33, 186, 298, 746

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

Prime Factorization of 33 is 3 x 11

Prime Factorization of 186 is 2 x 3 x 31

Prime Factorization of 298 is 2 x 149

Prime Factorization of 746 is 2 x 373

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(33, 186) = 2046

GCD(33, 186) = ( 33 x 186 ) / 2046

GCD(33, 186) = 6138 / 2046

GCD(33, 186) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 298

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

LCM(3, 298) = 894

GCD(3, 298) = ( 3 x 298 ) / 894

GCD(3, 298) = 894 / 894

GCD(3, 298) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 746

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

LCM(1, 746) = 746

GCD(1, 746) = ( 1 x 746 ) / 746

GCD(1, 746) = 746 / 746

GCD(1, 746) = 1

GCD of 33, 186, 298, 746 is 1

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• GCD of 29, 933, 963, 582
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1. What is the GCD of 33, 186, 298, 746?

GCD of 33, 186, 298, 746 is 1

2. Where do I get the detailed procedure to find GCD of 33, 186, 298, 746?

You can find a detailed procedure to find GCD of 33, 186, 298, 746 on our page.

3. How to find GCD of 33, 186, 298, 746 on a calculator?

You can find the GCD of 33, 186, 298, 746 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.