GCD of 268, 824, 69, 999 Calculator

Given Input numbers are 268, 824, 69, 999

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

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 999

List of positive integer divisors of 999 that divides 999 without a remainder.

1, 3, 9, 27, 37, 111, 333, 999

Greatest Common Divisior

We found the divisors of 268, 824, 69, 999 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 268, 824, 69, 999 is 1.

Therefore, GCD of numbers 268, 824, 69, 999 is 1

Given Input Data is 268, 824, 69, 999

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

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 824 is 2 x 2 x 2 x 103

Prime Factorization of 69 is 3 x 23

Prime Factorization of 999 is 3 x 3 x 3 x 37

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(268, 824) = 55208

GCD(268, 824) = ( 268 x 824 ) / 55208

GCD(268, 824) = 220832 / 55208

GCD(268, 824) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 69

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

LCM(4, 69) = 276

GCD(4, 69) = ( 4 x 69 ) / 276

GCD(4, 69) = 276 / 276

GCD(4, 69) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 999

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

LCM(1, 999) = 999

GCD(1, 999) = ( 1 x 999 ) / 999

GCD(1, 999) = 999 / 999

GCD(1, 999) = 1

GCD of 268, 824, 69, 999 is 1

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• GCD of 484, 253, 43, 505
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1. What is the GCD of 268, 824, 69, 999?

GCD of 268, 824, 69, 999 is 1

2. Where do I get the detailed procedure to find GCD of 268, 824, 69, 999?

You can find a detailed procedure to find GCD of 268, 824, 69, 999 on our page.

3. How to find GCD of 268, 824, 69, 999 on a calculator?

You can find the GCD of 268, 824, 69, 999 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.