GCD of 617, 359, 650, 382 Calculator

Given Input numbers are 617, 359, 650, 382

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

Divisors of 617

List of positive integer divisors of 617 that divides 617 without a remainder.

1, 617

Divisors of 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

Divisors of 650

List of positive integer divisors of 650 that divides 650 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Greatest Common Divisior

We found the divisors of 617, 359, 650, 382 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 617, 359, 650, 382 is 1.

Therefore, GCD of numbers 617, 359, 650, 382 is 1

Given Input Data is 617, 359, 650, 382

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

Prime Factorization of 617 is 617

Prime Factorization of 359 is 359

Prime Factorization of 650 is 2 x 5 x 5 x 13

Prime Factorization of 382 is 2 x 191

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(617, 359) = 221503

GCD(617, 359) = ( 617 x 359 ) / 221503

GCD(617, 359) = 221503 / 221503

GCD(617, 359) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 650

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

LCM(1, 650) = 650

GCD(1, 650) = ( 1 x 650 ) / 650

GCD(1, 650) = 650 / 650

GCD(1, 650) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 382

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

LCM(1, 382) = 382

GCD(1, 382) = ( 1 x 382 ) / 382

GCD(1, 382) = 382 / 382

GCD(1, 382) = 1

GCD of 617, 359, 650, 382 is 1

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1. What is the GCD of 617, 359, 650, 382?

GCD of 617, 359, 650, 382 is 1

2. Where do I get the detailed procedure to find GCD of 617, 359, 650, 382?

You can find a detailed procedure to find GCD of 617, 359, 650, 382 on our page.

3. How to find GCD of 617, 359, 650, 382 on a calculator?

You can find the GCD of 617, 359, 650, 382 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.