GCD of 376, 410, 13, 706 Calculator

Given Input numbers are 376, 410, 13, 706

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

Divisors of 376

List of positive integer divisors of 376 that divides 376 without a remainder.

1, 2, 4, 8, 47, 94, 188, 376

Divisors of 410

List of positive integer divisors of 410 that divides 410 without a remainder.

1, 2, 5, 10, 41, 82, 205, 410

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Greatest Common Divisior

We found the divisors of 376, 410, 13, 706 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 376, 410, 13, 706 is 1.

Therefore, GCD of numbers 376, 410, 13, 706 is 1

Given Input Data is 376, 410, 13, 706

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

Prime Factorization of 376 is 2 x 2 x 2 x 47

Prime Factorization of 410 is 2 x 5 x 41

Prime Factorization of 13 is 13

Prime Factorization of 706 is 2 x 353

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(376, 410) = 77080

GCD(376, 410) = ( 376 x 410 ) / 77080

GCD(376, 410) = 154160 / 77080

GCD(376, 410) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 13

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

LCM(2, 13) = 26

GCD(2, 13) = ( 2 x 13 ) / 26

GCD(2, 13) = 26 / 26

GCD(2, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 706

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

LCM(1, 706) = 706

GCD(1, 706) = ( 1 x 706 ) / 706

GCD(1, 706) = 706 / 706

GCD(1, 706) = 1

GCD of 376, 410, 13, 706 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 358, 506, 93, 131
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• GCD of 956, 681, 15, 866

1. What is the GCD of 376, 410, 13, 706?

GCD of 376, 410, 13, 706 is 1

2. Where do I get the detailed procedure to find GCD of 376, 410, 13, 706?

You can find a detailed procedure to find GCD of 376, 410, 13, 706 on our page.

3. How to find GCD of 376, 410, 13, 706 on a calculator?

You can find the GCD of 376, 410, 13, 706 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.