GCD of 448, 740, 409, 521 Calculator

Given Input numbers are 448, 740, 409, 521

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

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

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Divisors of 521

List of positive integer divisors of 521 that divides 521 without a remainder.

1, 521

Greatest Common Divisior

We found the divisors of 448, 740, 409, 521 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 448, 740, 409, 521 is 1.

Therefore, GCD of numbers 448, 740, 409, 521 is 1

Given Input Data is 448, 740, 409, 521

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

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

Prime Factorization of 740 is 2 x 2 x 5 x 37

Prime Factorization of 409 is 409

Prime Factorization of 521 is 521

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(448, 740) = 82880

GCD(448, 740) = ( 448 x 740 ) / 82880

GCD(448, 740) = 331520 / 82880

GCD(448, 740) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 409

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

LCM(4, 409) = 1636

GCD(4, 409) = ( 4 x 409 ) / 1636

GCD(4, 409) = 1636 / 1636

GCD(4, 409) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 521

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

LCM(1, 521) = 521

GCD(1, 521) = ( 1 x 521 ) / 521

GCD(1, 521) = 521 / 521

GCD(1, 521) = 1

GCD of 448, 740, 409, 521 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 367, 425, 572, 496
• GCD of 643, 337, 191, 893
• GCD of 148, 993, 545, 338
• GCD of 978, 862, 587, 442
• GCD of 741, 711, 904, 411

1. What is the GCD of 448, 740, 409, 521?

GCD of 448, 740, 409, 521 is 1

2. Where do I get the detailed procedure to find GCD of 448, 740, 409, 521?

You can find a detailed procedure to find GCD of 448, 740, 409, 521 on our page.

3. How to find GCD of 448, 740, 409, 521 on a calculator?

You can find the GCD of 448, 740, 409, 521 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.