GCD of 802, 267, 871, 676 Calculator

Given Input numbers are 802, 267, 871, 676

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 267

List of positive integer divisors of 267 that divides 267 without a remainder.

1, 3, 89, 267

Divisors of 871

List of positive integer divisors of 871 that divides 871 without a remainder.

1, 13, 67, 871

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

Greatest Common Divisior

We found the divisors of 802, 267, 871, 676 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 802, 267, 871, 676 is 1.

Therefore, GCD of numbers 802, 267, 871, 676 is 1

Given Input Data is 802, 267, 871, 676

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

Prime Factorization of 802 is 2 x 401

Prime Factorization of 267 is 3 x 89

Prime Factorization of 871 is 13 x 67

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

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, 267) = 214134

GCD(802, 267) = ( 802 x 267 ) / 214134

GCD(802, 267) = 214134 / 214134

GCD(802, 267) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 871

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

LCM(1, 871) = 871

GCD(1, 871) = ( 1 x 871 ) / 871

GCD(1, 871) = 871 / 871

GCD(1, 871) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 676

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

LCM(1, 676) = 676

GCD(1, 676) = ( 1 x 676 ) / 676

GCD(1, 676) = 676 / 676

GCD(1, 676) = 1

GCD of 802, 267, 871, 676 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 800, 286, 846, 231
• GCD of 314, 206, 289, 168
• GCD of 819, 313, 278, 502
• GCD of 571, 485, 237, 160
• GCD of 229, 248, 337, 635

1. What is the GCD of 802, 267, 871, 676?

GCD of 802, 267, 871, 676 is 1

2. Where do I get the detailed procedure to find GCD of 802, 267, 871, 676?

You can find a detailed procedure to find GCD of 802, 267, 871, 676 on our page.

3. How to find GCD of 802, 267, 871, 676 on a calculator?

You can find the GCD of 802, 267, 871, 676 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.