GCD of 839, 409, 56, 971 Calculator

Given Input numbers are 839, 409, 56, 971

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

Divisors of 839

List of positive integer divisors of 839 that divides 839 without a remainder.

1, 839

Divisors of 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Greatest Common Divisior

We found the divisors of 839, 409, 56, 971 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 839, 409, 56, 971 is 1.

Therefore, GCD of numbers 839, 409, 56, 971 is 1

Given Input Data is 839, 409, 56, 971

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

Prime Factorization of 839 is 839

Prime Factorization of 409 is 409

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 971 is 971

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(839, 409) = 343151

GCD(839, 409) = ( 839 x 409 ) / 343151

GCD(839, 409) = 343151 / 343151

GCD(839, 409) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 56

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

LCM(1, 56) = 56

GCD(1, 56) = ( 1 x 56 ) / 56

GCD(1, 56) = 56 / 56

GCD(1, 56) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 971

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

LCM(1, 971) = 971

GCD(1, 971) = ( 1 x 971 ) / 971

GCD(1, 971) = 971 / 971

GCD(1, 971) = 1

GCD of 839, 409, 56, 971 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 337, 407, 78, 569
• GCD of 943, 744, 21, 688
• GCD of 408, 486, 82, 436
• GCD of 721, 812, 42, 148
• GCD of 521, 511, 28, 206

1. What is the GCD of 839, 409, 56, 971?

GCD of 839, 409, 56, 971 is 1

2. Where do I get the detailed procedure to find GCD of 839, 409, 56, 971?

You can find a detailed procedure to find GCD of 839, 409, 56, 971 on our page.

3. How to find GCD of 839, 409, 56, 971 on a calculator?

You can find the GCD of 839, 409, 56, 971 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.