GCD of 848, 799, 14, 971 Calculator

Given Input numbers are 848, 799, 14, 971

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

Divisors of 848

List of positive integer divisors of 848 that divides 848 without a remainder.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Divisors of 799

List of positive integer divisors of 799 that divides 799 without a remainder.

1, 17, 47, 799

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

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 848, 799, 14, 971 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 848, 799, 14, 971 is 1.

Therefore, GCD of numbers 848, 799, 14, 971 is 1

Given Input Data is 848, 799, 14, 971

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

Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53

Prime Factorization of 799 is 17 x 47

Prime Factorization of 14 is 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(848, 799) = 677552

GCD(848, 799) = ( 848 x 799 ) / 677552

GCD(848, 799) = 677552 / 677552

GCD(848, 799) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 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 848, 799, 14, 971 is 1

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1. What is the GCD of 848, 799, 14, 971?

GCD of 848, 799, 14, 971 is 1

2. Where do I get the detailed procedure to find GCD of 848, 799, 14, 971?

You can find a detailed procedure to find GCD of 848, 799, 14, 971 on our page.

3. How to find GCD of 848, 799, 14, 971 on a calculator?

You can find the GCD of 848, 799, 14, 971 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.