GCD of 229, 802, 676, 953 Calculator

Given Input numbers are 229, 802, 676, 953

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

Divisors of 229

List of positive integer divisors of 229 that divides 229 without a remainder.

1, 229

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

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 953

List of positive integer divisors of 953 that divides 953 without a remainder.

1, 953

Greatest Common Divisior

We found the divisors of 229, 802, 676, 953 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 229, 802, 676, 953 is 1.

Therefore, GCD of numbers 229, 802, 676, 953 is 1

Given Input Data is 229, 802, 676, 953

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

Prime Factorization of 229 is 229

Prime Factorization of 802 is 2 x 401

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

Prime Factorization of 953 is 953

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(229, 802) = 183658

GCD(229, 802) = ( 229 x 802 ) / 183658

GCD(229, 802) = 183658 / 183658

GCD(229, 802) = 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 953

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

LCM(1, 953) = 953

GCD(1, 953) = ( 1 x 953 ) / 953

GCD(1, 953) = 953 / 953

GCD(1, 953) = 1

GCD of 229, 802, 676, 953 is 1

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1. What is the GCD of 229, 802, 676, 953?

GCD of 229, 802, 676, 953 is 1

2. Where do I get the detailed procedure to find GCD of 229, 802, 676, 953?

You can find a detailed procedure to find GCD of 229, 802, 676, 953 on our page.

3. How to find GCD of 229, 802, 676, 953 on a calculator?

You can find the GCD of 229, 802, 676, 953 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.