GCD of 448, 520, 253, 743 Calculator

Given Input numbers are 448, 520, 253, 743

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 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Divisors of 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

Greatest Common Divisior

We found the divisors of 448, 520, 253, 743 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 448, 520, 253, 743 is 1.

Therefore, GCD of numbers 448, 520, 253, 743 is 1

Given Input Data is 448, 520, 253, 743

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 520 is 2 x 2 x 2 x 5 x 13

Prime Factorization of 253 is 11 x 23

Prime Factorization of 743 is 743

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, 520) = 29120

GCD(448, 520) = ( 448 x 520 ) / 29120

GCD(448, 520) = 232960 / 29120

GCD(448, 520) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 253

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

LCM(8, 253) = 2024

GCD(8, 253) = ( 8 x 253 ) / 2024

GCD(8, 253) = 2024 / 2024

GCD(8, 253) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 743

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

LCM(1, 743) = 743

GCD(1, 743) = ( 1 x 743 ) / 743

GCD(1, 743) = 743 / 743

GCD(1, 743) = 1

GCD of 448, 520, 253, 743 is 1

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1. What is the GCD of 448, 520, 253, 743?

GCD of 448, 520, 253, 743 is 1

2. Where do I get the detailed procedure to find GCD of 448, 520, 253, 743?

You can find a detailed procedure to find GCD of 448, 520, 253, 743 on our page.

3. How to find GCD of 448, 520, 253, 743 on a calculator?

You can find the GCD of 448, 520, 253, 743 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.