GCD of 224, 763, 997, 839 Calculator

Given Input numbers are 224, 763, 997, 839

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

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 763

List of positive integer divisors of 763 that divides 763 without a remainder.

1, 7, 109, 763

Divisors of 997

List of positive integer divisors of 997 that divides 997 without a remainder.

1, 997

Divisors of 839

List of positive integer divisors of 839 that divides 839 without a remainder.

1, 839

Greatest Common Divisior

We found the divisors of 224, 763, 997, 839 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 224, 763, 997, 839 is 1.

Therefore, GCD of numbers 224, 763, 997, 839 is 1

Given Input Data is 224, 763, 997, 839

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

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

Prime Factorization of 763 is 7 x 109

Prime Factorization of 997 is 997

Prime Factorization of 839 is 839

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(224, 763) = 24416

GCD(224, 763) = ( 224 x 763 ) / 24416

GCD(224, 763) = 170912 / 24416

GCD(224, 763) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 997

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

LCM(7, 997) = 6979

GCD(7, 997) = ( 7 x 997 ) / 6979

GCD(7, 997) = 6979 / 6979

GCD(7, 997) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 839

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

LCM(1, 839) = 839

GCD(1, 839) = ( 1 x 839 ) / 839

GCD(1, 839) = 839 / 839

GCD(1, 839) = 1

GCD of 224, 763, 997, 839 is 1

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1. What is the GCD of 224, 763, 997, 839?

GCD of 224, 763, 997, 839 is 1

2. Where do I get the detailed procedure to find GCD of 224, 763, 997, 839?

You can find a detailed procedure to find GCD of 224, 763, 997, 839 on our page.

3. How to find GCD of 224, 763, 997, 839 on a calculator?

You can find the GCD of 224, 763, 997, 839 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.