GCD of 802, 296, 47, 427 Calculator

Given Input numbers are 802, 296, 47, 427

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 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Greatest Common Divisior

We found the divisors of 802, 296, 47, 427 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 802, 296, 47, 427 is 1.

Therefore, GCD of numbers 802, 296, 47, 427 is 1

Given Input Data is 802, 296, 47, 427

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

Prime Factorization of 802 is 2 x 401

Prime Factorization of 296 is 2 x 2 x 2 x 37

Prime Factorization of 47 is 47

Prime Factorization of 427 is 7 x 61

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, 296) = 118696

GCD(802, 296) = ( 802 x 296 ) / 118696

GCD(802, 296) = 237392 / 118696

GCD(802, 296) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 47

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

LCM(2, 47) = 94

GCD(2, 47) = ( 2 x 47 ) / 94

GCD(2, 47) = 94 / 94

GCD(2, 47) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 427

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

LCM(1, 427) = 427

GCD(1, 427) = ( 1 x 427 ) / 427

GCD(1, 427) = 427 / 427

GCD(1, 427) = 1

GCD of 802, 296, 47, 427 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 398, 146, 67, 478
• GCD of 515, 108, 38, 280
• GCD of 244, 173, 50, 519
• GCD of 874, 235, 51, 812
• GCD of 509, 534, 69, 442

1. What is the GCD of 802, 296, 47, 427?

GCD of 802, 296, 47, 427 is 1

2. Where do I get the detailed procedure to find GCD of 802, 296, 47, 427?

You can find a detailed procedure to find GCD of 802, 296, 47, 427 on our page.

3. How to find GCD of 802, 296, 47, 427 on a calculator?

You can find the GCD of 802, 296, 47, 427 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.