GCD of 891, 971, 14, 768 Calculator

Given Input numbers are 891, 971, 14, 768

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

Divisors of 891

List of positive integer divisors of 891 that divides 891 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 971

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

1, 971

Divisors of 14

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

1, 2, 7, 14

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Greatest Common Divisior

We found the divisors of 891, 971, 14, 768 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 891, 971, 14, 768 is 1.

Therefore, GCD of numbers 891, 971, 14, 768 is 1

Given Input Data is 891, 971, 14, 768

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

Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11

Prime Factorization of 971 is 971

Prime Factorization of 14 is 2 x 7

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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(891, 971) = 865161

GCD(891, 971) = ( 891 x 971 ) / 865161

GCD(891, 971) = 865161 / 865161

GCD(891, 971) = 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 768

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

LCM(1, 768) = 768

GCD(1, 768) = ( 1 x 768 ) / 768

GCD(1, 768) = 768 / 768

GCD(1, 768) = 1

GCD of 891, 971, 14, 768 is 1

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• GCD of 423, 529, 98, 509
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1. What is the GCD of 891, 971, 14, 768?

GCD of 891, 971, 14, 768 is 1

2. Where do I get the detailed procedure to find GCD of 891, 971, 14, 768?

You can find a detailed procedure to find GCD of 891, 971, 14, 768 on our page.

3. How to find GCD of 891, 971, 14, 768 on a calculator?

You can find the GCD of 891, 971, 14, 768 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.