GCD of 314, 689, 87, 401 Calculator

Given Input numbers are 314, 689, 87, 401

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 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 401

List of positive integer divisors of 401 that divides 401 without a remainder.

1, 401

Greatest Common Divisior

We found the divisors of 314, 689, 87, 401 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 314, 689, 87, 401 is 1.

Therefore, GCD of numbers 314, 689, 87, 401 is 1

Given Input Data is 314, 689, 87, 401

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

Prime Factorization of 314 is 2 x 157

Prime Factorization of 689 is 13 x 53

Prime Factorization of 87 is 3 x 29

Prime Factorization of 401 is 401

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, 689) = 216346

GCD(314, 689) = ( 314 x 689 ) / 216346

GCD(314, 689) = 216346 / 216346

GCD(314, 689) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 87

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

LCM(1, 87) = 87

GCD(1, 87) = ( 1 x 87 ) / 87

GCD(1, 87) = 87 / 87

GCD(1, 87) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 401

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

LCM(1, 401) = 401

GCD(1, 401) = ( 1 x 401 ) / 401

GCD(1, 401) = 401 / 401

GCD(1, 401) = 1

GCD of 314, 689, 87, 401 is 1

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• GCD of 223, 302, 44, 845
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1. What is the GCD of 314, 689, 87, 401?

GCD of 314, 689, 87, 401 is 1

2. Where do I get the detailed procedure to find GCD of 314, 689, 87, 401?

You can find a detailed procedure to find GCD of 314, 689, 87, 401 on our page.

3. How to find GCD of 314, 689, 87, 401 on a calculator?

You can find the GCD of 314, 689, 87, 401 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.