GCD of 414, 904, 899, 967 Calculator

Given Input numbers are 414, 904, 899, 967

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 904

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

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

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Divisors of 967

List of positive integer divisors of 967 that divides 967 without a remainder.

1, 967

Greatest Common Divisior

We found the divisors of 414, 904, 899, 967 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 414, 904, 899, 967 is 1.

Therefore, GCD of numbers 414, 904, 899, 967 is 1

Given Input Data is 414, 904, 899, 967

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 904 is 2 x 2 x 2 x 113

Prime Factorization of 899 is 29 x 31

Prime Factorization of 967 is 967

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, 904) = 187128

GCD(414, 904) = ( 414 x 904 ) / 187128

GCD(414, 904) = 374256 / 187128

GCD(414, 904) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 899

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

LCM(2, 899) = 1798

GCD(2, 899) = ( 2 x 899 ) / 1798

GCD(2, 899) = 1798 / 1798

GCD(2, 899) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 967

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

LCM(1, 967) = 967

GCD(1, 967) = ( 1 x 967 ) / 967

GCD(1, 967) = 967 / 967

GCD(1, 967) = 1

GCD of 414, 904, 899, 967 is 1

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1. What is the GCD of 414, 904, 899, 967?

GCD of 414, 904, 899, 967 is 1

2. Where do I get the detailed procedure to find GCD of 414, 904, 899, 967?

You can find a detailed procedure to find GCD of 414, 904, 899, 967 on our page.

3. How to find GCD of 414, 904, 899, 967 on a calculator?

You can find the GCD of 414, 904, 899, 967 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.