GCD of 449, 529, 316, 968 Calculator

Given Input numbers are 449, 529, 316, 968

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

Divisors of 449

List of positive integer divisors of 449 that divides 449 without a remainder.

1, 449

Divisors of 529

List of positive integer divisors of 529 that divides 529 without a remainder.

1, 23, 529

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Divisors of 968

List of positive integer divisors of 968 that divides 968 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Greatest Common Divisior

We found the divisors of 449, 529, 316, 968 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 449, 529, 316, 968 is 1.

Therefore, GCD of numbers 449, 529, 316, 968 is 1

Given Input Data is 449, 529, 316, 968

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

Prime Factorization of 449 is 449

Prime Factorization of 529 is 23 x 23

Prime Factorization of 316 is 2 x 2 x 79

Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11

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(449, 529) = 237521

GCD(449, 529) = ( 449 x 529 ) / 237521

GCD(449, 529) = 237521 / 237521

GCD(449, 529) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 316

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

LCM(1, 316) = 316

GCD(1, 316) = ( 1 x 316 ) / 316

GCD(1, 316) = 316 / 316

GCD(1, 316) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 968

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

LCM(1, 968) = 968

GCD(1, 968) = ( 1 x 968 ) / 968

GCD(1, 968) = 968 / 968

GCD(1, 968) = 1

GCD of 449, 529, 316, 968 is 1

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1. What is the GCD of 449, 529, 316, 968?

GCD of 449, 529, 316, 968 is 1

2. Where do I get the detailed procedure to find GCD of 449, 529, 316, 968?

You can find a detailed procedure to find GCD of 449, 529, 316, 968 on our page.

3. How to find GCD of 449, 529, 316, 968 on a calculator?

You can find the GCD of 449, 529, 316, 968 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.