GCD of 321, 340, 802, 140 Calculator

Given Input numbers are 321, 340, 802, 140

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

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 802

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

1, 2, 401, 802

Divisors of 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Greatest Common Divisior

We found the divisors of 321, 340, 802, 140 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 321, 340, 802, 140 is 1.

Therefore, GCD of numbers 321, 340, 802, 140 is 1

Given Input Data is 321, 340, 802, 140

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

Prime Factorization of 321 is 3 x 107

Prime Factorization of 340 is 2 x 2 x 5 x 17

Prime Factorization of 802 is 2 x 401

Prime Factorization of 140 is 2 x 2 x 5 x 7

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(321, 340) = 109140

GCD(321, 340) = ( 321 x 340 ) / 109140

GCD(321, 340) = 109140 / 109140

GCD(321, 340) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 802

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

LCM(1, 802) = 802

GCD(1, 802) = ( 1 x 802 ) / 802

GCD(1, 802) = 802 / 802

GCD(1, 802) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 140

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

LCM(1, 140) = 140

GCD(1, 140) = ( 1 x 140 ) / 140

GCD(1, 140) = 140 / 140

GCD(1, 140) = 1

GCD of 321, 340, 802, 140 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 448, 139, 144, 138
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• GCD of 130, 698, 328, 636

1. What is the GCD of 321, 340, 802, 140?

GCD of 321, 340, 802, 140 is 1

2. Where do I get the detailed procedure to find GCD of 321, 340, 802, 140?

You can find a detailed procedure to find GCD of 321, 340, 802, 140 on our page.

3. How to find GCD of 321, 340, 802, 140 on a calculator?

You can find the GCD of 321, 340, 802, 140 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.