GCD of 516, 707, 448, 841 Calculator

Given Input numbers are 516, 707, 448, 841

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

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

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 841

List of positive integer divisors of 841 that divides 841 without a remainder.

1, 29, 841

Greatest Common Divisior

We found the divisors of 516, 707, 448, 841 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 516, 707, 448, 841 is 1.

Therefore, GCD of numbers 516, 707, 448, 841 is 1

Given Input Data is 516, 707, 448, 841

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

Prime Factorization of 516 is 2 x 2 x 3 x 43

Prime Factorization of 707 is 7 x 101

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

Prime Factorization of 841 is 29 x 29

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(516, 707) = 364812

GCD(516, 707) = ( 516 x 707 ) / 364812

GCD(516, 707) = 364812 / 364812

GCD(516, 707) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 841

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

LCM(1, 841) = 841

GCD(1, 841) = ( 1 x 841 ) / 841

GCD(1, 841) = 841 / 841

GCD(1, 841) = 1

GCD of 516, 707, 448, 841 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 499, 400, 343, 816
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• GCD of 900, 367, 976, 450

1. What is the GCD of 516, 707, 448, 841?

GCD of 516, 707, 448, 841 is 1

2. Where do I get the detailed procedure to find GCD of 516, 707, 448, 841?

You can find a detailed procedure to find GCD of 516, 707, 448, 841 on our page.

3. How to find GCD of 516, 707, 448, 841 on a calculator?

You can find the GCD of 516, 707, 448, 841 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.