GCD of 899, 508, 289, 676 Calculator

Given Input numbers are 899, 508, 289, 676

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

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Greatest Common Divisior

We found the divisors of 899, 508, 289, 676 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 899, 508, 289, 676 is 1.

Therefore, GCD of numbers 899, 508, 289, 676 is 1

Given Input Data is 899, 508, 289, 676

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

Prime Factorization of 899 is 29 x 31

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 289 is 17 x 17

Prime Factorization of 676 is 2 x 2 x 13 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(899, 508) = 456692

GCD(899, 508) = ( 899 x 508 ) / 456692

GCD(899, 508) = 456692 / 456692

GCD(899, 508) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 289

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

LCM(1, 289) = 289

GCD(1, 289) = ( 1 x 289 ) / 289

GCD(1, 289) = 289 / 289

GCD(1, 289) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 676

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

LCM(1, 676) = 676

GCD(1, 676) = ( 1 x 676 ) / 676

GCD(1, 676) = 676 / 676

GCD(1, 676) = 1

GCD of 899, 508, 289, 676 is 1

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1. What is the GCD of 899, 508, 289, 676?

GCD of 899, 508, 289, 676 is 1

2. Where do I get the detailed procedure to find GCD of 899, 508, 289, 676?

You can find a detailed procedure to find GCD of 899, 508, 289, 676 on our page.

3. How to find GCD of 899, 508, 289, 676 on a calculator?

You can find the GCD of 899, 508, 289, 676 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.