GCD of 337, 645, 782, 898 Calculator

Given Input numbers are 337, 645, 782, 898

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

Divisors of 337

List of positive integer divisors of 337 that divides 337 without a remainder.

1, 337

Divisors of 645

List of positive integer divisors of 645 that divides 645 without a remainder.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Greatest Common Divisior

We found the divisors of 337, 645, 782, 898 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 337, 645, 782, 898 is 1.

Therefore, GCD of numbers 337, 645, 782, 898 is 1

Given Input Data is 337, 645, 782, 898

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

Prime Factorization of 337 is 337

Prime Factorization of 645 is 3 x 5 x 43

Prime Factorization of 782 is 2 x 17 x 23

Prime Factorization of 898 is 2 x 449

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(337, 645) = 217365

GCD(337, 645) = ( 337 x 645 ) / 217365

GCD(337, 645) = 217365 / 217365

GCD(337, 645) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 782

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

LCM(1, 782) = 782

GCD(1, 782) = ( 1 x 782 ) / 782

GCD(1, 782) = 782 / 782

GCD(1, 782) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 898

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

LCM(1, 898) = 898

GCD(1, 898) = ( 1 x 898 ) / 898

GCD(1, 898) = 898 / 898

GCD(1, 898) = 1

GCD of 337, 645, 782, 898 is 1

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1. What is the GCD of 337, 645, 782, 898?

GCD of 337, 645, 782, 898 is 1

2. Where do I get the detailed procedure to find GCD of 337, 645, 782, 898?

You can find a detailed procedure to find GCD of 337, 645, 782, 898 on our page.

3. How to find GCD of 337, 645, 782, 898 on a calculator?

You can find the GCD of 337, 645, 782, 898 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.