GCD of 728, 404, 742, 940 Calculator

Given Input numbers are 728, 404, 742, 940

In the factoring method, we have to find the divisors of all numbers

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 404 :

The positive integer divisors of 404 that completely divides 404 are.

1, 2, 4, 101, 202, 404

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

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

Divisors of 940 :

The positive integer divisors of 940 that completely divides 940 are.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

GCD of numbers is the greatest common divisor

So, the GCD (728, 404, 742, 940) = 2.

Given numbers are 728, 404, 742, 940

The list of prime factors of all numbers are

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 404 are 2 x 2 x 101

Prime factors of 742 are 2 x 7 x 53

Prime factors of 940 are 2 x 2 x 5 x 47

The highest common occurrence is 2¹

Therefore, GCD of 728, 404, 742, 940 is 2.

Given numbers are 728, 404, 742, 940

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(728, 404) = 73528

GCD(728, 404) = ( 728 x 404 ) / 73528

= 728 / 404

= 728

Step2:

LCM(4, 742) = 1484

GCD(4, 742) = ( 4 x 742 ) / 1484

= 4 / 742

= 4

Step3:

LCM(2, 940) = 940

GCD(2, 940) = ( 2 x 940 ) / 940

= 2 / 940

= 2

So, Greatest Common Divisor of 728, 404, 742, 940 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 745, 576, 607, 235
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• GCD of 836, 733, 675, 886
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• GCD of 530, 783, 626, 438

Given numbers are 728, 404, 742, 940
The greatest common divisor of numbers 728, 404, 742, 940 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 404, 742, 940 is 2.

1. What is the GCD of 728, 404, 742, 940?

GCD of given numbers 728, 404, 742, 940 is 2

2. How to calculate the greatest common divisor of 728, 404, 742, 940?

We can find the highest common divisor of 728, 404, 742, 940 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 728, 404, 742, 940 i.e 2.

3. How can I use the GCD of 728, 404, 742, 940Calculator?

Out the numbers 728, 404, 742, 940 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.