GCD of 823, 305, 127, 314 Calculator

Given Input numbers are 823, 305, 127, 314

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

Divisors of 823

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

1, 823

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 127

List of positive integer divisors of 127 that divides 127 without a remainder.

1, 127

Divisors of 314

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

1, 2, 157, 314

Greatest Common Divisior

We found the divisors of 823, 305, 127, 314 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 823, 305, 127, 314 is 1.

Therefore, GCD of numbers 823, 305, 127, 314 is 1

Given Input Data is 823, 305, 127, 314

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

Prime Factorization of 823 is 823

Prime Factorization of 305 is 5 x 61

Prime Factorization of 127 is 127

Prime Factorization of 314 is 2 x 157

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(823, 305) = 251015

GCD(823, 305) = ( 823 x 305 ) / 251015

GCD(823, 305) = 251015 / 251015

GCD(823, 305) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 127

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

LCM(1, 127) = 127

GCD(1, 127) = ( 1 x 127 ) / 127

GCD(1, 127) = 127 / 127

GCD(1, 127) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 314

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

LCM(1, 314) = 314

GCD(1, 314) = ( 1 x 314 ) / 314

GCD(1, 314) = 314 / 314

GCD(1, 314) = 1

GCD of 823, 305, 127, 314 is 1

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1. What is the GCD of 823, 305, 127, 314?

GCD of 823, 305, 127, 314 is 1

2. Where do I get the detailed procedure to find GCD of 823, 305, 127, 314?

You can find a detailed procedure to find GCD of 823, 305, 127, 314 on our page.

3. How to find GCD of 823, 305, 127, 314 on a calculator?

You can find the GCD of 823, 305, 127, 314 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.