GCD of 320, 138, 428, 645 Calculator

Given Input numbers are 320, 138, 428, 645

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

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 645

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

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

Greatest Common Divisior

We found the divisors of 320, 138, 428, 645 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 320, 138, 428, 645 is 1.

Therefore, GCD of numbers 320, 138, 428, 645 is 1

Given Input Data is 320, 138, 428, 645

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

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 645 is 3 x 5 x 43

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(320, 138) = 22080

GCD(320, 138) = ( 320 x 138 ) / 22080

GCD(320, 138) = 44160 / 22080

GCD(320, 138) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 428

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

LCM(2, 428) = 428

GCD(2, 428) = ( 2 x 428 ) / 428

GCD(2, 428) = 856 / 428

GCD(2, 428) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 645

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

LCM(2, 645) = 1290

GCD(2, 645) = ( 2 x 645 ) / 1290

GCD(2, 645) = 1290 / 1290

GCD(2, 645) = 1

GCD of 320, 138, 428, 645 is 1

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1. What is the GCD of 320, 138, 428, 645?

GCD of 320, 138, 428, 645 is 1

2. Where do I get the detailed procedure to find GCD of 320, 138, 428, 645?

You can find a detailed procedure to find GCD of 320, 138, 428, 645 on our page.

3. How to find GCD of 320, 138, 428, 645 on a calculator?

You can find the GCD of 320, 138, 428, 645 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.