GCD of 676, 764, 73, 313 Calculator

Given Input numbers are 676, 764, 73, 313

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

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 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Divisors of 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Greatest Common Divisior

We found the divisors of 676, 764, 73, 313 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 676, 764, 73, 313 is 1.

Therefore, GCD of numbers 676, 764, 73, 313 is 1

Given Input Data is 676, 764, 73, 313

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

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

Prime Factorization of 764 is 2 x 2 x 191

Prime Factorization of 73 is 73

Prime Factorization of 313 is 313

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(676, 764) = 129116

GCD(676, 764) = ( 676 x 764 ) / 129116

GCD(676, 764) = 516464 / 129116

GCD(676, 764) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 73

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

LCM(4, 73) = 292

GCD(4, 73) = ( 4 x 73 ) / 292

GCD(4, 73) = 292 / 292

GCD(4, 73) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 313

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

LCM(1, 313) = 313

GCD(1, 313) = ( 1 x 313 ) / 313

GCD(1, 313) = 313 / 313

GCD(1, 313) = 1

GCD of 676, 764, 73, 313 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 344, 577, 24, 846
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• GCD of 315, 768, 55, 602

1. What is the GCD of 676, 764, 73, 313?

GCD of 676, 764, 73, 313 is 1

2. Where do I get the detailed procedure to find GCD of 676, 764, 73, 313?

You can find a detailed procedure to find GCD of 676, 764, 73, 313 on our page.

3. How to find GCD of 676, 764, 73, 313 on a calculator?

You can find the GCD of 676, 764, 73, 313 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.