GCD of 645, 113, 120, 838 Calculator

Given Input numbers are 645, 113, 120, 838

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

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 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Greatest Common Divisior

We found the divisors of 645, 113, 120, 838 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 645, 113, 120, 838 is 1.

Therefore, GCD of numbers 645, 113, 120, 838 is 1

Given Input Data is 645, 113, 120, 838

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

Prime Factorization of 645 is 3 x 5 x 43

Prime Factorization of 113 is 113

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 838 is 2 x 419

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(645, 113) = 72885

GCD(645, 113) = ( 645 x 113 ) / 72885

GCD(645, 113) = 72885 / 72885

GCD(645, 113) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 120

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

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

GCD(1, 120) = 120 / 120

GCD(1, 120) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 838

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

LCM(1, 838) = 838

GCD(1, 838) = ( 1 x 838 ) / 838

GCD(1, 838) = 838 / 838

GCD(1, 838) = 1

GCD of 645, 113, 120, 838 is 1

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1. What is the GCD of 645, 113, 120, 838?

GCD of 645, 113, 120, 838 is 1

2. Where do I get the detailed procedure to find GCD of 645, 113, 120, 838?

You can find a detailed procedure to find GCD of 645, 113, 120, 838 on our page.

3. How to find GCD of 645, 113, 120, 838 on a calculator?

You can find the GCD of 645, 113, 120, 838 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.