GCD of 801, 372, 294, 554 Calculator

Given Input numbers are 801, 372, 294, 554

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

Divisors of 801

List of positive integer divisors of 801 that divides 801 without a remainder.

1, 3, 9, 89, 267, 801

Divisors of 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 554

List of positive integer divisors of 554 that divides 554 without a remainder.

1, 2, 277, 554

Greatest Common Divisior

We found the divisors of 801, 372, 294, 554 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 801, 372, 294, 554 is 1.

Therefore, GCD of numbers 801, 372, 294, 554 is 1

Given Input Data is 801, 372, 294, 554

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

Prime Factorization of 801 is 3 x 3 x 89

Prime Factorization of 372 is 2 x 2 x 3 x 31

Prime Factorization of 294 is 2 x 3 x 7 x 7

Prime Factorization of 554 is 2 x 277

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(801, 372) = 99324

GCD(801, 372) = ( 801 x 372 ) / 99324

GCD(801, 372) = 297972 / 99324

GCD(801, 372) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 294

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

LCM(3, 294) = 294

GCD(3, 294) = ( 3 x 294 ) / 294

GCD(3, 294) = 882 / 294

GCD(3, 294) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 554

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

LCM(3, 554) = 1662

GCD(3, 554) = ( 3 x 554 ) / 1662

GCD(3, 554) = 1662 / 1662

GCD(3, 554) = 1

GCD of 801, 372, 294, 554 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 374, 572, 286, 554
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• GCD of 873, 165, 692, 939

1. What is the GCD of 801, 372, 294, 554?

GCD of 801, 372, 294, 554 is 1

2. Where do I get the detailed procedure to find GCD of 801, 372, 294, 554?

You can find a detailed procedure to find GCD of 801, 372, 294, 554 on our page.

3. How to find GCD of 801, 372, 294, 554 on a calculator?

You can find the GCD of 801, 372, 294, 554 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.