GCD of 861, 682, 225, 238 Calculator

Given Input numbers are 861, 682, 225, 238

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

Divisors of 861

List of positive integer divisors of 861 that divides 861 without a remainder.

1, 3, 7, 21, 41, 123, 287, 861

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

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 861, 682, 225, 238 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 861, 682, 225, 238 is 1.

Therefore, GCD of numbers 861, 682, 225, 238 is 1

Given Input Data is 861, 682, 225, 238

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

Prime Factorization of 861 is 3 x 7 x 41

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 225 is 3 x 3 x 5 x 5

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(861, 682) = 587202

GCD(861, 682) = ( 861 x 682 ) / 587202

GCD(861, 682) = 587202 / 587202

GCD(861, 682) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 225

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

LCM(1, 225) = 225

GCD(1, 225) = ( 1 x 225 ) / 225

GCD(1, 225) = 225 / 225

GCD(1, 225) = 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 861, 682, 225, 238 is 1

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1. What is the GCD of 861, 682, 225, 238?

GCD of 861, 682, 225, 238 is 1

2. Where do I get the detailed procedure to find GCD of 861, 682, 225, 238?

You can find a detailed procedure to find GCD of 861, 682, 225, 238 on our page.

3. How to find GCD of 861, 682, 225, 238 on a calculator?

You can find the GCD of 861, 682, 225, 238 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.