GCD of 284, 448, 643, 715 Calculator

Given Input numbers are 284, 448, 643, 715

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

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

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 643

List of positive integer divisors of 643 that divides 643 without a remainder.

1, 643

Divisors of 715

List of positive integer divisors of 715 that divides 715 without a remainder.

1, 5, 11, 13, 55, 65, 143, 715

Greatest Common Divisior

We found the divisors of 284, 448, 643, 715 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 284, 448, 643, 715 is 1.

Therefore, GCD of numbers 284, 448, 643, 715 is 1

Given Input Data is 284, 448, 643, 715

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

Prime Factorization of 284 is 2 x 2 x 71

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

Prime Factorization of 643 is 643

Prime Factorization of 715 is 5 x 11 x 13

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(284, 448) = 31808

GCD(284, 448) = ( 284 x 448 ) / 31808

GCD(284, 448) = 127232 / 31808

GCD(284, 448) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 643

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

LCM(4, 643) = 2572

GCD(4, 643) = ( 4 x 643 ) / 2572

GCD(4, 643) = 2572 / 2572

GCD(4, 643) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 715

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

LCM(1, 715) = 715

GCD(1, 715) = ( 1 x 715 ) / 715

GCD(1, 715) = 715 / 715

GCD(1, 715) = 1

GCD of 284, 448, 643, 715 is 1

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1. What is the GCD of 284, 448, 643, 715?

GCD of 284, 448, 643, 715 is 1

2. Where do I get the detailed procedure to find GCD of 284, 448, 643, 715?

You can find a detailed procedure to find GCD of 284, 448, 643, 715 on our page.

3. How to find GCD of 284, 448, 643, 715 on a calculator?

You can find the GCD of 284, 448, 643, 715 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.