GCD of 376, 742, 508, 729 Calculator

Given Input numbers are 376, 742, 508, 729

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 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Divisors of 729

List of positive integer divisors of 729 that divides 729 without a remainder.

1, 3, 9, 27, 81, 243, 729

Greatest Common Divisior

We found the divisors of 376, 742, 508, 729 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 376, 742, 508, 729 is 1.

Therefore, GCD of numbers 376, 742, 508, 729 is 1

Given Input Data is 376, 742, 508, 729

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 742 is 2 x 7 x 53

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3

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, 742) = 139496

GCD(376, 742) = ( 376 x 742 ) / 139496

GCD(376, 742) = 278992 / 139496

GCD(376, 742) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 508

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

LCM(2, 508) = 508

GCD(2, 508) = ( 2 x 508 ) / 508

GCD(2, 508) = 1016 / 508

GCD(2, 508) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 729

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

LCM(2, 729) = 1458

GCD(2, 729) = ( 2 x 729 ) / 1458

GCD(2, 729) = 1458 / 1458

GCD(2, 729) = 1

GCD of 376, 742, 508, 729 is 1

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• GCD of 217, 506, 376, 684
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1. What is the GCD of 376, 742, 508, 729?

GCD of 376, 742, 508, 729 is 1

2. Where do I get the detailed procedure to find GCD of 376, 742, 508, 729?

You can find a detailed procedure to find GCD of 376, 742, 508, 729 on our page.

3. How to find GCD of 376, 742, 508, 729 on a calculator?

You can find the GCD of 376, 742, 508, 729 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.