GCD of 414, 945, 904, 971 Calculator

Given Input numbers are 414, 945, 904, 971

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

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

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

Divisors of 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Greatest Common Divisior

We found the divisors of 414, 945, 904, 971 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 414, 945, 904, 971 is 1.

Therefore, GCD of numbers 414, 945, 904, 971 is 1

Given Input Data is 414, 945, 904, 971

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

Prime Factorization of 414 is 2 x 3 x 3 x 23

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

Prime Factorization of 904 is 2 x 2 x 2 x 113

Prime Factorization of 971 is 971

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(414, 945) = 43470

GCD(414, 945) = ( 414 x 945 ) / 43470

GCD(414, 945) = 391230 / 43470

GCD(414, 945) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 904

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

LCM(9, 904) = 8136

GCD(9, 904) = ( 9 x 904 ) / 8136

GCD(9, 904) = 8136 / 8136

GCD(9, 904) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 971

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

LCM(1, 971) = 971

GCD(1, 971) = ( 1 x 971 ) / 971

GCD(1, 971) = 971 / 971

GCD(1, 971) = 1

GCD of 414, 945, 904, 971 is 1

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1. What is the GCD of 414, 945, 904, 971?

GCD of 414, 945, 904, 971 is 1

2. Where do I get the detailed procedure to find GCD of 414, 945, 904, 971?

You can find a detailed procedure to find GCD of 414, 945, 904, 971 on our page.

3. How to find GCD of 414, 945, 904, 971 on a calculator?

You can find the GCD of 414, 945, 904, 971 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.