GCD of 71, 140, 328, 143 Calculator

Given Input numbers are 71, 140, 328, 143

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

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

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

Divisors of 328

List of positive integer divisors of 328 that divides 328 without a remainder.

1, 2, 4, 8, 41, 82, 164, 328

Divisors of 143

List of positive integer divisors of 143 that divides 143 without a remainder.

1, 11, 13, 143

Greatest Common Divisior

We found the divisors of 71, 140, 328, 143 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 71, 140, 328, 143 is 1.

Therefore, GCD of numbers 71, 140, 328, 143 is 1

Given Input Data is 71, 140, 328, 143

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

Prime Factorization of 71 is 71

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

Prime Factorization of 328 is 2 x 2 x 2 x 41

Prime Factorization of 143 is 11 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(71, 140) = 9940

GCD(71, 140) = ( 71 x 140 ) / 9940

GCD(71, 140) = 9940 / 9940

GCD(71, 140) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 328

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

LCM(1, 328) = 328

GCD(1, 328) = ( 1 x 328 ) / 328

GCD(1, 328) = 328 / 328

GCD(1, 328) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 143

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

LCM(1, 143) = 143

GCD(1, 143) = ( 1 x 143 ) / 143

GCD(1, 143) = 143 / 143

GCD(1, 143) = 1

GCD of 71, 140, 328, 143 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 46, 250, 811, 734
• GCD of 29, 978, 720, 471
• GCD of 86, 938, 730, 791
• GCD of 31, 797, 534, 191
• GCD of 11, 324, 842, 525

1. What is the GCD of 71, 140, 328, 143?

GCD of 71, 140, 328, 143 is 1

2. Where do I get the detailed procedure to find GCD of 71, 140, 328, 143?

You can find a detailed procedure to find GCD of 71, 140, 328, 143 on our page.

3. How to find GCD of 71, 140, 328, 143 on a calculator?

You can find the GCD of 71, 140, 328, 143 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.