GCD of 308, 764, 816, 971 Calculator

Given Input numbers are 308, 764, 816, 971

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

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Divisors of 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

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 308, 764, 816, 971 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 308, 764, 816, 971 is 1.

Therefore, GCD of numbers 308, 764, 816, 971 is 1

Given Input Data is 308, 764, 816, 971

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

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 764 is 2 x 2 x 191

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

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(308, 764) = 58828

GCD(308, 764) = ( 308 x 764 ) / 58828

GCD(308, 764) = 235312 / 58828

GCD(308, 764) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 816

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

LCM(4, 816) = 816

GCD(4, 816) = ( 4 x 816 ) / 816

GCD(4, 816) = 3264 / 816

GCD(4, 816) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 971

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

LCM(4, 971) = 3884

GCD(4, 971) = ( 4 x 971 ) / 3884

GCD(4, 971) = 3884 / 3884

GCD(4, 971) = 1

GCD of 308, 764, 816, 971 is 1

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1. What is the GCD of 308, 764, 816, 971?

GCD of 308, 764, 816, 971 is 1

2. Where do I get the detailed procedure to find GCD of 308, 764, 816, 971?

You can find a detailed procedure to find GCD of 308, 764, 816, 971 on our page.

3. How to find GCD of 308, 764, 816, 971 on a calculator?

You can find the GCD of 308, 764, 816, 971 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.