GCD of 348, 802, 829, 643 Calculator

Given Input numbers are 348, 802, 829, 643

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

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 802

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

1, 2, 401, 802

Divisors of 829

List of positive integer divisors of 829 that divides 829 without a remainder.

1, 829

Divisors of 643

List of positive integer divisors of 643 that divides 643 without a remainder.

1, 643

Greatest Common Divisior

We found the divisors of 348, 802, 829, 643 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 348, 802, 829, 643 is 1.

Therefore, GCD of numbers 348, 802, 829, 643 is 1

Given Input Data is 348, 802, 829, 643

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

Prime Factorization of 348 is 2 x 2 x 3 x 29

Prime Factorization of 802 is 2 x 401

Prime Factorization of 829 is 829

Prime Factorization of 643 is 643

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(348, 802) = 139548

GCD(348, 802) = ( 348 x 802 ) / 139548

GCD(348, 802) = 279096 / 139548

GCD(348, 802) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 829

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

LCM(2, 829) = 1658

GCD(2, 829) = ( 2 x 829 ) / 1658

GCD(2, 829) = 1658 / 1658

GCD(2, 829) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 643

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

LCM(1, 643) = 643

GCD(1, 643) = ( 1 x 643 ) / 643

GCD(1, 643) = 643 / 643

GCD(1, 643) = 1

GCD of 348, 802, 829, 643 is 1

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1. What is the GCD of 348, 802, 829, 643?

GCD of 348, 802, 829, 643 is 1

2. Where do I get the detailed procedure to find GCD of 348, 802, 829, 643?

You can find a detailed procedure to find GCD of 348, 802, 829, 643 on our page.

3. How to find GCD of 348, 802, 829, 643 on a calculator?

You can find the GCD of 348, 802, 829, 643 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.