GCD of 646, 825, 314, 238 Calculator

Given Input numbers are 646, 825, 314, 238

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

Divisors of 646

List of positive integer divisors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 314

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

1, 2, 157, 314

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Greatest Common Divisior

We found the divisors of 646, 825, 314, 238 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 646, 825, 314, 238 is 1.

Therefore, GCD of numbers 646, 825, 314, 238 is 1

Given Input Data is 646, 825, 314, 238

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

Prime Factorization of 646 is 2 x 17 x 19

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 314 is 2 x 157

Prime Factorization of 238 is 2 x 7 x 17

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(646, 825) = 532950

GCD(646, 825) = ( 646 x 825 ) / 532950

GCD(646, 825) = 532950 / 532950

GCD(646, 825) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 314

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

LCM(1, 314) = 314

GCD(1, 314) = ( 1 x 314 ) / 314

GCD(1, 314) = 314 / 314

GCD(1, 314) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 238

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

LCM(1, 238) = 238

GCD(1, 238) = ( 1 x 238 ) / 238

GCD(1, 238) = 238 / 238

GCD(1, 238) = 1

GCD of 646, 825, 314, 238 is 1

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1. What is the GCD of 646, 825, 314, 238?

GCD of 646, 825, 314, 238 is 1

2. Where do I get the detailed procedure to find GCD of 646, 825, 314, 238?

You can find a detailed procedure to find GCD of 646, 825, 314, 238 on our page.

3. How to find GCD of 646, 825, 314, 238 on a calculator?

You can find the GCD of 646, 825, 314, 238 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.