GCD of 775, 838, 497, 314 Calculator

Given Input numbers are 775, 838, 497, 314

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

Divisors of 775

List of positive integer divisors of 775 that divides 775 without a remainder.

1, 5, 25, 31, 155, 775

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Divisors of 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

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 775, 838, 497, 314 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 775, 838, 497, 314 is 1.

Therefore, GCD of numbers 775, 838, 497, 314 is 1

Given Input Data is 775, 838, 497, 314

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

Prime Factorization of 775 is 5 x 5 x 31

Prime Factorization of 838 is 2 x 419

Prime Factorization of 497 is 7 x 71

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(775, 838) = 649450

GCD(775, 838) = ( 775 x 838 ) / 649450

GCD(775, 838) = 649450 / 649450

GCD(775, 838) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 497

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

LCM(1, 497) = 497

GCD(1, 497) = ( 1 x 497 ) / 497

GCD(1, 497) = 497 / 497

GCD(1, 497) = 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 775, 838, 497, 314 is 1

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1. What is the GCD of 775, 838, 497, 314?

GCD of 775, 838, 497, 314 is 1

2. Where do I get the detailed procedure to find GCD of 775, 838, 497, 314?

You can find a detailed procedure to find GCD of 775, 838, 497, 314 on our page.

3. How to find GCD of 775, 838, 497, 314 on a calculator?

You can find the GCD of 775, 838, 497, 314 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.