GCD of 71, 242, 657, 392 Calculator

Given Input numbers are 71, 242, 657, 392

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

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Greatest Common Divisior

We found the divisors of 71, 242, 657, 392 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 71, 242, 657, 392 is 1.

Therefore, GCD of numbers 71, 242, 657, 392 is 1

Given Input Data is 71, 242, 657, 392

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

Prime Factorization of 71 is 71

Prime Factorization of 242 is 2 x 11 x 11

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

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(71, 242) = 17182

GCD(71, 242) = ( 71 x 242 ) / 17182

GCD(71, 242) = 17182 / 17182

GCD(71, 242) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 657

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

LCM(1, 657) = 657

GCD(1, 657) = ( 1 x 657 ) / 657

GCD(1, 657) = 657 / 657

GCD(1, 657) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 392

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

LCM(1, 392) = 392

GCD(1, 392) = ( 1 x 392 ) / 392

GCD(1, 392) = 392 / 392

GCD(1, 392) = 1

GCD of 71, 242, 657, 392 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 19, 620, 522, 386
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• GCD of 15, 925, 634, 914
• GCD of 65, 368, 806, 907
• GCD of 10, 757, 138, 493

1. What is the GCD of 71, 242, 657, 392?

GCD of 71, 242, 657, 392 is 1

2. Where do I get the detailed procedure to find GCD of 71, 242, 657, 392?

You can find a detailed procedure to find GCD of 71, 242, 657, 392 on our page.

3. How to find GCD of 71, 242, 657, 392 on a calculator?

You can find the GCD of 71, 242, 657, 392 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.