GCD of 47, 844, 736, 945 Calculator

Given Input numbers are 47, 844, 736, 945

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

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 844

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

1, 2, 4, 211, 422, 844

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Greatest Common Divisior

We found the divisors of 47, 844, 736, 945 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 47, 844, 736, 945 is 1.

Therefore, GCD of numbers 47, 844, 736, 945 is 1

Given Input Data is 47, 844, 736, 945

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

Prime Factorization of 47 is 47

Prime Factorization of 844 is 2 x 2 x 211

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

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(47, 844) = 39668

GCD(47, 844) = ( 47 x 844 ) / 39668

GCD(47, 844) = 39668 / 39668

GCD(47, 844) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 736

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

LCM(1, 736) = 736

GCD(1, 736) = ( 1 x 736 ) / 736

GCD(1, 736) = 736 / 736

GCD(1, 736) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 945

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

LCM(1, 945) = 945

GCD(1, 945) = ( 1 x 945 ) / 945

GCD(1, 945) = 945 / 945

GCD(1, 945) = 1

GCD of 47, 844, 736, 945 is 1

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1. What is the GCD of 47, 844, 736, 945?

GCD of 47, 844, 736, 945 is 1

2. Where do I get the detailed procedure to find GCD of 47, 844, 736, 945?

You can find a detailed procedure to find GCD of 47, 844, 736, 945 on our page.

3. How to find GCD of 47, 844, 736, 945 on a calculator?

You can find the GCD of 47, 844, 736, 945 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.