GCD of 402, 314, 289, 377 Calculator

Given Input numbers are 402, 314, 289, 377

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

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 314

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

1, 2, 157, 314

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 377

List of positive integer divisors of 377 that divides 377 without a remainder.

1, 13, 29, 377

Greatest Common Divisior

We found the divisors of 402, 314, 289, 377 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 402, 314, 289, 377 is 1.

Therefore, GCD of numbers 402, 314, 289, 377 is 1

Given Input Data is 402, 314, 289, 377

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

Prime Factorization of 402 is 2 x 3 x 67

Prime Factorization of 314 is 2 x 157

Prime Factorization of 289 is 17 x 17

Prime Factorization of 377 is 13 x 29

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(402, 314) = 63114

GCD(402, 314) = ( 402 x 314 ) / 63114

GCD(402, 314) = 126228 / 63114

GCD(402, 314) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 289

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

LCM(2, 289) = 578

GCD(2, 289) = ( 2 x 289 ) / 578

GCD(2, 289) = 578 / 578

GCD(2, 289) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 377

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

LCM(1, 377) = 377

GCD(1, 377) = ( 1 x 377 ) / 377

GCD(1, 377) = 377 / 377

GCD(1, 377) = 1

GCD of 402, 314, 289, 377 is 1

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1. What is the GCD of 402, 314, 289, 377?

GCD of 402, 314, 289, 377 is 1

2. Where do I get the detailed procedure to find GCD of 402, 314, 289, 377?

You can find a detailed procedure to find GCD of 402, 314, 289, 377 on our page.

3. How to find GCD of 402, 314, 289, 377 on a calculator?

You can find the GCD of 402, 314, 289, 377 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.