GCD of 576, 854, 688, 273 Calculator

Given Input numbers are 576, 854, 688, 273

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

Divisors of 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 273

List of positive integer divisors of 273 that divides 273 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273

Greatest Common Divisior

We found the divisors of 576, 854, 688, 273 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 576, 854, 688, 273 is 1.

Therefore, GCD of numbers 576, 854, 688, 273 is 1

Given Input Data is 576, 854, 688, 273

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

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 854 is 2 x 7 x 61

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

Prime Factorization of 273 is 3 x 7 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(576, 854) = 245952

GCD(576, 854) = ( 576 x 854 ) / 245952

GCD(576, 854) = 491904 / 245952

GCD(576, 854) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 688

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

LCM(2, 688) = 688

GCD(2, 688) = ( 2 x 688 ) / 688

GCD(2, 688) = 1376 / 688

GCD(2, 688) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 273

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

LCM(2, 273) = 546

GCD(2, 273) = ( 2 x 273 ) / 546

GCD(2, 273) = 546 / 546

GCD(2, 273) = 1

GCD of 576, 854, 688, 273 is 1

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1. What is the GCD of 576, 854, 688, 273?

GCD of 576, 854, 688, 273 is 1

2. Where do I get the detailed procedure to find GCD of 576, 854, 688, 273?

You can find a detailed procedure to find GCD of 576, 854, 688, 273 on our page.

3. How to find GCD of 576, 854, 688, 273 on a calculator?

You can find the GCD of 576, 854, 688, 273 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.