GCD of 71, 497, 878, 838 Calculator

Given Input numbers are 71, 497, 878, 838

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 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Divisors of 878

List of positive integer divisors of 878 that divides 878 without a remainder.

1, 2, 439, 878

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Greatest Common Divisior

We found the divisors of 71, 497, 878, 838 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 71, 497, 878, 838 is 1.

Therefore, GCD of numbers 71, 497, 878, 838 is 1

Given Input Data is 71, 497, 878, 838

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

Prime Factorization of 71 is 71

Prime Factorization of 497 is 7 x 71

Prime Factorization of 878 is 2 x 439

Prime Factorization of 838 is 2 x 419

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, 497) = 497

GCD(71, 497) = ( 71 x 497 ) / 497

GCD(71, 497) = 35287 / 497

GCD(71, 497) = 71

Step2:

Here we consider the GCD from the above i.e. 71 as first number and the next as 878

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

LCM(71, 878) = 62338

GCD(71, 878) = ( 71 x 878 ) / 62338

GCD(71, 878) = 62338 / 62338

GCD(71, 878) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 838

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

LCM(1, 838) = 838

GCD(1, 838) = ( 1 x 838 ) / 838

GCD(1, 838) = 838 / 838

GCD(1, 838) = 1

GCD of 71, 497, 878, 838 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 13, 192, 664, 893
• GCD of 67, 493, 336, 861
• GCD of 54, 803, 585, 926
• GCD of 60, 794, 922, 880
• GCD of 47, 770, 330, 768

1. What is the GCD of 71, 497, 878, 838?

GCD of 71, 497, 878, 838 is 1

2. Where do I get the detailed procedure to find GCD of 71, 497, 878, 838?

You can find a detailed procedure to find GCD of 71, 497, 878, 838 on our page.

3. How to find GCD of 71, 497, 878, 838 on a calculator?

You can find the GCD of 71, 497, 878, 838 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.