GCD of 269, 952, 676, 233 Calculator

Given Input numbers are 269, 952, 676, 233

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

Divisors of 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

Divisors of 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

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

Divisors of 233

List of positive integer divisors of 233 that divides 233 without a remainder.

1, 233

Greatest Common Divisior

We found the divisors of 269, 952, 676, 233 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 269, 952, 676, 233 is 1.

Therefore, GCD of numbers 269, 952, 676, 233 is 1

Given Input Data is 269, 952, 676, 233

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

Prime Factorization of 269 is 269

Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 233 is 233

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(269, 952) = 256088

GCD(269, 952) = ( 269 x 952 ) / 256088

GCD(269, 952) = 256088 / 256088

GCD(269, 952) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 233

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

LCM(1, 233) = 233

GCD(1, 233) = ( 1 x 233 ) / 233

GCD(1, 233) = 233 / 233

GCD(1, 233) = 1

GCD of 269, 952, 676, 233 is 1

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1. What is the GCD of 269, 952, 676, 233?

GCD of 269, 952, 676, 233 is 1

2. Where do I get the detailed procedure to find GCD of 269, 952, 676, 233?

You can find a detailed procedure to find GCD of 269, 952, 676, 233 on our page.

3. How to find GCD of 269, 952, 676, 233 on a calculator?

You can find the GCD of 269, 952, 676, 233 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.