GCD of 802, 294, 795, 726 Calculator

Given Input numbers are 802, 294, 795, 726

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

Divisors of 802

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

1, 2, 401, 802

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 795

List of positive integer divisors of 795 that divides 795 without a remainder.

1, 3, 5, 15, 53, 159, 265, 795

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Greatest Common Divisior

We found the divisors of 802, 294, 795, 726 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 802, 294, 795, 726 is 1.

Therefore, GCD of numbers 802, 294, 795, 726 is 1

Given Input Data is 802, 294, 795, 726

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

Prime Factorization of 802 is 2 x 401

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

Prime Factorization of 795 is 3 x 5 x 53

Prime Factorization of 726 is 2 x 3 x 11 x 11

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(802, 294) = 117894

GCD(802, 294) = ( 802 x 294 ) / 117894

GCD(802, 294) = 235788 / 117894

GCD(802, 294) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 795

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

LCM(2, 795) = 1590

GCD(2, 795) = ( 2 x 795 ) / 1590

GCD(2, 795) = 1590 / 1590

GCD(2, 795) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 726

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

LCM(1, 726) = 726

GCD(1, 726) = ( 1 x 726 ) / 726

GCD(1, 726) = 726 / 726

GCD(1, 726) = 1

GCD of 802, 294, 795, 726 is 1

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1. What is the GCD of 802, 294, 795, 726?

GCD of 802, 294, 795, 726 is 1

2. Where do I get the detailed procedure to find GCD of 802, 294, 795, 726?

You can find a detailed procedure to find GCD of 802, 294, 795, 726 on our page.

3. How to find GCD of 802, 294, 795, 726 on a calculator?

You can find the GCD of 802, 294, 795, 726 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.