GCD of 26, 627, 169, 448 Calculator

Given Input numbers are 26, 627, 169, 448

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

Divisors of 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

Divisors of 627

List of positive integer divisors of 627 that divides 627 without a remainder.

1, 3, 11, 19, 33, 57, 209, 627

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Greatest Common Divisior

We found the divisors of 26, 627, 169, 448 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 26, 627, 169, 448 is 1.

Therefore, GCD of numbers 26, 627, 169, 448 is 1

Given Input Data is 26, 627, 169, 448

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

Prime Factorization of 26 is 2 x 13

Prime Factorization of 627 is 3 x 11 x 19

Prime Factorization of 169 is 13 x 13

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

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(26, 627) = 16302

GCD(26, 627) = ( 26 x 627 ) / 16302

GCD(26, 627) = 16302 / 16302

GCD(26, 627) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 169

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

LCM(1, 169) = 169

GCD(1, 169) = ( 1 x 169 ) / 169

GCD(1, 169) = 169 / 169

GCD(1, 169) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 448

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

LCM(1, 448) = 448

GCD(1, 448) = ( 1 x 448 ) / 448

GCD(1, 448) = 448 / 448

GCD(1, 448) = 1

GCD of 26, 627, 169, 448 is 1

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1. What is the GCD of 26, 627, 169, 448?

GCD of 26, 627, 169, 448 is 1

2. Where do I get the detailed procedure to find GCD of 26, 627, 169, 448?

You can find a detailed procedure to find GCD of 26, 627, 169, 448 on our page.

3. How to find GCD of 26, 627, 169, 448 on a calculator?

You can find the GCD of 26, 627, 169, 448 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.