GCD of 10, 681, 214, 362 Calculator

Given Input numbers are 10, 681, 214, 362

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

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

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Greatest Common Divisior

We found the divisors of 10, 681, 214, 362 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 681, 214, 362 is 1.

Therefore, GCD of numbers 10, 681, 214, 362 is 1

Given Input Data is 10, 681, 214, 362

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

Prime Factorization of 10 is 2 x 5

Prime Factorization of 681 is 3 x 227

Prime Factorization of 214 is 2 x 107

Prime Factorization of 362 is 2 x 181

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(10, 681) = 6810

GCD(10, 681) = ( 10 x 681 ) / 6810

GCD(10, 681) = 6810 / 6810

GCD(10, 681) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 214

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

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

GCD(1, 214) = 214 / 214

GCD(1, 214) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 362

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

LCM(1, 362) = 362

GCD(1, 362) = ( 1 x 362 ) / 362

GCD(1, 362) = 362 / 362

GCD(1, 362) = 1

GCD of 10, 681, 214, 362 is 1

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• GCD of 12, 825, 714, 947
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• GCD of 51, 539, 504, 709

1. What is the GCD of 10, 681, 214, 362?

GCD of 10, 681, 214, 362 is 1

2. Where do I get the detailed procedure to find GCD of 10, 681, 214, 362?

You can find a detailed procedure to find GCD of 10, 681, 214, 362 on our page.

3. How to find GCD of 10, 681, 214, 362 on a calculator?

You can find the GCD of 10, 681, 214, 362 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.