GCD of 754, 609, 250, 448 Calculator

Given Input numbers are 754, 609, 250, 448

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

Divisors of 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Divisors of 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 250

List of positive integer divisors of 250 that divides 250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250

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 754, 609, 250, 448 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 754, 609, 250, 448 is 1.

Therefore, GCD of numbers 754, 609, 250, 448 is 1

Given Input Data is 754, 609, 250, 448

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

Prime Factorization of 754 is 2 x 13 x 29

Prime Factorization of 609 is 3 x 7 x 29

Prime Factorization of 250 is 2 x 5 x 5 x 5

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(754, 609) = 15834

GCD(754, 609) = ( 754 x 609 ) / 15834

GCD(754, 609) = 459186 / 15834

GCD(754, 609) = 29

Step2:

Here we consider the GCD from the above i.e. 29 as first number and the next as 250

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

LCM(29, 250) = 7250

GCD(29, 250) = ( 29 x 250 ) / 7250

GCD(29, 250) = 7250 / 7250

GCD(29, 250) = 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 754, 609, 250, 448 is 1

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1. What is the GCD of 754, 609, 250, 448?

GCD of 754, 609, 250, 448 is 1

2. Where do I get the detailed procedure to find GCD of 754, 609, 250, 448?

You can find a detailed procedure to find GCD of 754, 609, 250, 448 on our page.

3. How to find GCD of 754, 609, 250, 448 on a calculator?

You can find the GCD of 754, 609, 250, 448 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.