GCD of 814, 224, 967, 647 Calculator

Given Input numbers are 814, 224, 967, 647

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

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 967

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

1, 967

Divisors of 647

List of positive integer divisors of 647 that divides 647 without a remainder.

1, 647

Greatest Common Divisior

We found the divisors of 814, 224, 967, 647 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 814, 224, 967, 647 is 1.

Therefore, GCD of numbers 814, 224, 967, 647 is 1

Given Input Data is 814, 224, 967, 647

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

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 967 is 967

Prime Factorization of 647 is 647

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(814, 224) = 91168

GCD(814, 224) = ( 814 x 224 ) / 91168

GCD(814, 224) = 182336 / 91168

GCD(814, 224) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 967

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

LCM(2, 967) = 1934

GCD(2, 967) = ( 2 x 967 ) / 1934

GCD(2, 967) = 1934 / 1934

GCD(2, 967) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 647

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

LCM(1, 647) = 647

GCD(1, 647) = ( 1 x 647 ) / 647

GCD(1, 647) = 647 / 647

GCD(1, 647) = 1

GCD of 814, 224, 967, 647 is 1

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1. What is the GCD of 814, 224, 967, 647?

GCD of 814, 224, 967, 647 is 1

2. Where do I get the detailed procedure to find GCD of 814, 224, 967, 647?

You can find a detailed procedure to find GCD of 814, 224, 967, 647 on our page.

3. How to find GCD of 814, 224, 967, 647 on a calculator?

You can find the GCD of 814, 224, 967, 647 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.