GCD of 314, 823, 308, 651 Calculator

Given Input numbers are 314, 823, 308, 651

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

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 823

List of positive integer divisors of 823 that divides 823 without a remainder.

1, 823

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 651

List of positive integer divisors of 651 that divides 651 without a remainder.

1, 3, 7, 21, 31, 93, 217, 651

Greatest Common Divisior

We found the divisors of 314, 823, 308, 651 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 314, 823, 308, 651 is 1.

Therefore, GCD of numbers 314, 823, 308, 651 is 1

Given Input Data is 314, 823, 308, 651

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

Prime Factorization of 314 is 2 x 157

Prime Factorization of 823 is 823

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

Prime Factorization of 651 is 3 x 7 x 31

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(314, 823) = 258422

GCD(314, 823) = ( 314 x 823 ) / 258422

GCD(314, 823) = 258422 / 258422

GCD(314, 823) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 308

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

LCM(1, 308) = 308

GCD(1, 308) = ( 1 x 308 ) / 308

GCD(1, 308) = 308 / 308

GCD(1, 308) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 651

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

LCM(1, 651) = 651

GCD(1, 651) = ( 1 x 651 ) / 651

GCD(1, 651) = 651 / 651

GCD(1, 651) = 1

GCD of 314, 823, 308, 651 is 1

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• GCD of 180, 796, 828, 789
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• GCD of 674, 670, 157, 452

1. What is the GCD of 314, 823, 308, 651?

GCD of 314, 823, 308, 651 is 1

2. Where do I get the detailed procedure to find GCD of 314, 823, 308, 651?

You can find a detailed procedure to find GCD of 314, 823, 308, 651 on our page.

3. How to find GCD of 314, 823, 308, 651 on a calculator?

You can find the GCD of 314, 823, 308, 651 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.