GCD of 738, 742, 726, 879 Calculator

Given Input numbers are 738, 742, 726, 879

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

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

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 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 879

List of positive integer divisors of 879 that divides 879 without a remainder.

1, 3, 293, 879

Greatest Common Divisior

We found the divisors of 738, 742, 726, 879 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 738, 742, 726, 879 is 1.

Therefore, GCD of numbers 738, 742, 726, 879 is 1

Given Input Data is 738, 742, 726, 879

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

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 726 is 2 x 3 x 11 x 11

Prime Factorization of 879 is 3 x 293

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(738, 742) = 273798

GCD(738, 742) = ( 738 x 742 ) / 273798

GCD(738, 742) = 547596 / 273798

GCD(738, 742) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 726

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

LCM(2, 726) = 726

GCD(2, 726) = ( 2 x 726 ) / 726

GCD(2, 726) = 1452 / 726

GCD(2, 726) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 879

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

LCM(2, 879) = 1758

GCD(2, 879) = ( 2 x 879 ) / 1758

GCD(2, 879) = 1758 / 1758

GCD(2, 879) = 1

GCD of 738, 742, 726, 879 is 1

Here are some samples of GCD of Numbers calculations.

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1. What is the GCD of 738, 742, 726, 879?

GCD of 738, 742, 726, 879 is 1

2. Where do I get the detailed procedure to find GCD of 738, 742, 726, 879?

You can find a detailed procedure to find GCD of 738, 742, 726, 879 on our page.

3. How to find GCD of 738, 742, 726, 879 on a calculator?

You can find the GCD of 738, 742, 726, 879 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.