GCD of 518, 763, 448, 274 Calculator

Given Input numbers are 518, 763, 448, 274

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

Divisors of 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 763

List of positive integer divisors of 763 that divides 763 without a remainder.

1, 7, 109, 763

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 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Greatest Common Divisior

We found the divisors of 518, 763, 448, 274 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 518, 763, 448, 274 is 1.

Therefore, GCD of numbers 518, 763, 448, 274 is 1

Given Input Data is 518, 763, 448, 274

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

Prime Factorization of 518 is 2 x 7 x 37

Prime Factorization of 763 is 7 x 109

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

Prime Factorization of 274 is 2 x 137

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(518, 763) = 56462

GCD(518, 763) = ( 518 x 763 ) / 56462

GCD(518, 763) = 395234 / 56462

GCD(518, 763) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 448

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

LCM(7, 448) = 448

GCD(7, 448) = ( 7 x 448 ) / 448

GCD(7, 448) = 3136 / 448

GCD(7, 448) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 274

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

LCM(7, 274) = 1918

GCD(7, 274) = ( 7 x 274 ) / 1918

GCD(7, 274) = 1918 / 1918

GCD(7, 274) = 1

GCD of 518, 763, 448, 274 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 913, 545, 437, 405
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• GCD of 116, 398, 255, 137
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• GCD of 336, 360, 485, 709

1. What is the GCD of 518, 763, 448, 274?

GCD of 518, 763, 448, 274 is 1

2. Where do I get the detailed procedure to find GCD of 518, 763, 448, 274?

You can find a detailed procedure to find GCD of 518, 763, 448, 274 on our page.

3. How to find GCD of 518, 763, 448, 274 on a calculator?

You can find the GCD of 518, 763, 448, 274 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.