GCD of 208, 340, 288, 783 Calculator

Given Input numbers are 208, 340, 288, 783

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

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

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 783

List of positive integer divisors of 783 that divides 783 without a remainder.

1, 3, 9, 27, 29, 87, 261, 783

Greatest Common Divisior

We found the divisors of 208, 340, 288, 783 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 208, 340, 288, 783 is 1.

Therefore, GCD of numbers 208, 340, 288, 783 is 1

Given Input Data is 208, 340, 288, 783

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

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 340 is 2 x 2 x 5 x 17

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 783 is 3 x 3 x 3 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(208, 340) = 17680

GCD(208, 340) = ( 208 x 340 ) / 17680

GCD(208, 340) = 70720 / 17680

GCD(208, 340) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 288

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

LCM(4, 288) = 288

GCD(4, 288) = ( 4 x 288 ) / 288

GCD(4, 288) = 1152 / 288

GCD(4, 288) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 783

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

LCM(4, 783) = 3132

GCD(4, 783) = ( 4 x 783 ) / 3132

GCD(4, 783) = 3132 / 3132

GCD(4, 783) = 1

GCD of 208, 340, 288, 783 is 1

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1. What is the GCD of 208, 340, 288, 783?

GCD of 208, 340, 288, 783 is 1

2. Where do I get the detailed procedure to find GCD of 208, 340, 288, 783?

You can find a detailed procedure to find GCD of 208, 340, 288, 783 on our page.

3. How to find GCD of 208, 340, 288, 783 on a calculator?

You can find the GCD of 208, 340, 288, 783 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.