GCD of 351, 676, 564, 478 Calculator

Given Input numbers are 351, 676, 564, 478

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

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

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 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Greatest Common Divisior

We found the divisors of 351, 676, 564, 478 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 351, 676, 564, 478 is 1.

Therefore, GCD of numbers 351, 676, 564, 478 is 1

Given Input Data is 351, 676, 564, 478

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

Prime Factorization of 351 is 3 x 3 x 3 x 13

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

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 478 is 2 x 239

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(351, 676) = 18252

GCD(351, 676) = ( 351 x 676 ) / 18252

GCD(351, 676) = 237276 / 18252

GCD(351, 676) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 564

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

LCM(13, 564) = 7332

GCD(13, 564) = ( 13 x 564 ) / 7332

GCD(13, 564) = 7332 / 7332

GCD(13, 564) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 478

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

LCM(1, 478) = 478

GCD(1, 478) = ( 1 x 478 ) / 478

GCD(1, 478) = 478 / 478

GCD(1, 478) = 1

GCD of 351, 676, 564, 478 is 1

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1. What is the GCD of 351, 676, 564, 478?

GCD of 351, 676, 564, 478 is 1

2. Where do I get the detailed procedure to find GCD of 351, 676, 564, 478?

You can find a detailed procedure to find GCD of 351, 676, 564, 478 on our page.

3. How to find GCD of 351, 676, 564, 478 on a calculator?

You can find the GCD of 351, 676, 564, 478 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.