GCD of 83, 509, 448, 208 Calculator

Given Input numbers are 83, 509, 448, 208

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

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

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 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Greatest Common Divisior

We found the divisors of 83, 509, 448, 208 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 83, 509, 448, 208 is 1.

Therefore, GCD of numbers 83, 509, 448, 208 is 1

Given Input Data is 83, 509, 448, 208

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

Prime Factorization of 83 is 83

Prime Factorization of 509 is 509

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

Prime Factorization of 208 is 2 x 2 x 2 x 2 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(83, 509) = 42247

GCD(83, 509) = ( 83 x 509 ) / 42247

GCD(83, 509) = 42247 / 42247

GCD(83, 509) = 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 208

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

LCM(1, 208) = 208

GCD(1, 208) = ( 1 x 208 ) / 208

GCD(1, 208) = 208 / 208

GCD(1, 208) = 1

GCD of 83, 509, 448, 208 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 69, 545, 990, 350
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• GCD of 25, 643, 124, 333
• GCD of 11, 963, 544, 563
• GCD of 37, 915, 574, 959

1. What is the GCD of 83, 509, 448, 208?

GCD of 83, 509, 448, 208 is 1

2. Where do I get the detailed procedure to find GCD of 83, 509, 448, 208?

You can find a detailed procedure to find GCD of 83, 509, 448, 208 on our page.

3. How to find GCD of 83, 509, 448, 208 on a calculator?

You can find the GCD of 83, 509, 448, 208 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.