GCD of 238, 546, 10, 681 Calculator

Given Input numbers are 238, 546, 10, 681

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

Divisors of 238

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

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

Divisors of 546

List of positive integer divisors of 546 that divides 546 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 681

List of positive integer divisors of 681 that divides 681 without a remainder.

1, 3, 227, 681

Greatest Common Divisior

We found the divisors of 238, 546, 10, 681 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 238, 546, 10, 681 is 1.

Therefore, GCD of numbers 238, 546, 10, 681 is 1

Given Input Data is 238, 546, 10, 681

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

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 546 is 2 x 3 x 7 x 13

Prime Factorization of 10 is 2 x 5

Prime Factorization of 681 is 3 x 227

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(238, 546) = 9282

GCD(238, 546) = ( 238 x 546 ) / 9282

GCD(238, 546) = 129948 / 9282

GCD(238, 546) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 10

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

LCM(14, 10) = 70

GCD(14, 10) = ( 14 x 10 ) / 70

GCD(14, 10) = 140 / 70

GCD(14, 10) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 681

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

LCM(2, 681) = 1362

GCD(2, 681) = ( 2 x 681 ) / 1362

GCD(2, 681) = 1362 / 1362

GCD(2, 681) = 1

GCD of 238, 546, 10, 681 is 1

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1. What is the GCD of 238, 546, 10, 681?

GCD of 238, 546, 10, 681 is 1

2. Where do I get the detailed procedure to find GCD of 238, 546, 10, 681?

You can find a detailed procedure to find GCD of 238, 546, 10, 681 on our page.

3. How to find GCD of 238, 546, 10, 681 on a calculator?

You can find the GCD of 238, 546, 10, 681 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.