GCD of 476, 544, 325, 802 Calculator

Given Input numbers are 476, 544, 325, 802

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

Divisors of 476

List of positive integer divisors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 544

List of positive integer divisors of 544 that divides 544 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

Divisors of 325

List of positive integer divisors of 325 that divides 325 without a remainder.

1, 5, 13, 25, 65, 325

Divisors of 802

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

1, 2, 401, 802

Greatest Common Divisior

We found the divisors of 476, 544, 325, 802 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 476, 544, 325, 802 is 1.

Therefore, GCD of numbers 476, 544, 325, 802 is 1

Given Input Data is 476, 544, 325, 802

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

Prime Factorization of 476 is 2 x 2 x 7 x 17

Prime Factorization of 544 is 2 x 2 x 2 x 2 x 2 x 17

Prime Factorization of 325 is 5 x 5 x 13

Prime Factorization of 802 is 2 x 401

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(476, 544) = 3808

GCD(476, 544) = ( 476 x 544 ) / 3808

GCD(476, 544) = 258944 / 3808

GCD(476, 544) = 68

Step2:

Here we consider the GCD from the above i.e. 68 as first number and the next as 325

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

LCM(68, 325) = 22100

GCD(68, 325) = ( 68 x 325 ) / 22100

GCD(68, 325) = 22100 / 22100

GCD(68, 325) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 802

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

LCM(1, 802) = 802

GCD(1, 802) = ( 1 x 802 ) / 802

GCD(1, 802) = 802 / 802

GCD(1, 802) = 1

GCD of 476, 544, 325, 802 is 1

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1. What is the GCD of 476, 544, 325, 802?

GCD of 476, 544, 325, 802 is 1

2. Where do I get the detailed procedure to find GCD of 476, 544, 325, 802?

You can find a detailed procedure to find GCD of 476, 544, 325, 802 on our page.

3. How to find GCD of 476, 544, 325, 802 on a calculator?

You can find the GCD of 476, 544, 325, 802 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.