GCD of 314, 695, 743, 878 Calculator

Given Input numbers are 314, 695, 743, 878

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 695

List of positive integer divisors of 695 that divides 695 without a remainder.

1, 5, 139, 695

Divisors of 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

Divisors of 878

List of positive integer divisors of 878 that divides 878 without a remainder.

1, 2, 439, 878

Greatest Common Divisior

We found the divisors of 314, 695, 743, 878 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 314, 695, 743, 878 is 1.

Therefore, GCD of numbers 314, 695, 743, 878 is 1

Given Input Data is 314, 695, 743, 878

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

Prime Factorization of 314 is 2 x 157

Prime Factorization of 695 is 5 x 139

Prime Factorization of 743 is 743

Prime Factorization of 878 is 2 x 439

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, 695) = 218230

GCD(314, 695) = ( 314 x 695 ) / 218230

GCD(314, 695) = 218230 / 218230

GCD(314, 695) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 743

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

LCM(1, 743) = 743

GCD(1, 743) = ( 1 x 743 ) / 743

GCD(1, 743) = 743 / 743

GCD(1, 743) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 878

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

LCM(1, 878) = 878

GCD(1, 878) = ( 1 x 878 ) / 878

GCD(1, 878) = 878 / 878

GCD(1, 878) = 1

GCD of 314, 695, 743, 878 is 1

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1. What is the GCD of 314, 695, 743, 878?

GCD of 314, 695, 743, 878 is 1

2. Where do I get the detailed procedure to find GCD of 314, 695, 743, 878?

You can find a detailed procedure to find GCD of 314, 695, 743, 878 on our page.

3. How to find GCD of 314, 695, 743, 878 on a calculator?

You can find the GCD of 314, 695, 743, 878 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.