GCD of 187, 974, 748, 844 Calculator

Given Input numbers are 187, 974, 748, 844

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

Divisors of 187

List of positive integer divisors of 187 that divides 187 without a remainder.

1, 11, 17, 187

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

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 844

List of positive integer divisors of 844 that divides 844 without a remainder.

1, 2, 4, 211, 422, 844

Greatest Common Divisior

We found the divisors of 187, 974, 748, 844 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 187, 974, 748, 844 is 1.

Therefore, GCD of numbers 187, 974, 748, 844 is 1

Given Input Data is 187, 974, 748, 844

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

Prime Factorization of 187 is 11 x 17

Prime Factorization of 974 is 2 x 487

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

Prime Factorization of 844 is 2 x 2 x 211

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(187, 974) = 182138

GCD(187, 974) = ( 187 x 974 ) / 182138

GCD(187, 974) = 182138 / 182138

GCD(187, 974) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 748

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

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

GCD(1, 748) = 748 / 748

GCD(1, 748) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 844

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

LCM(1, 844) = 844

GCD(1, 844) = ( 1 x 844 ) / 844

GCD(1, 844) = 844 / 844

GCD(1, 844) = 1

GCD of 187, 974, 748, 844 is 1

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1. What is the GCD of 187, 974, 748, 844?

GCD of 187, 974, 748, 844 is 1

2. Where do I get the detailed procedure to find GCD of 187, 974, 748, 844?

You can find a detailed procedure to find GCD of 187, 974, 748, 844 on our page.

3. How to find GCD of 187, 974, 748, 844 on a calculator?

You can find the GCD of 187, 974, 748, 844 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.