GCD of 435, 323, 742, 728 Calculator

Given Input numbers are 435, 323, 742, 728

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

Divisors of 435 :

The positive integer divisors of 435 that completely divides 435 are.

1, 3, 5, 15, 29, 87, 145, 435

Divisors of 323 :

The positive integer divisors of 323 that completely divides 323 are.

1, 17, 19, 323

Divisors of 742 :

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

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

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

GCD of numbers is the greatest common divisor

So, the GCD (435, 323, 742, 728) = 1.

Given numbers are 435, 323, 742, 728

The list of prime factors of all numbers are

Prime factors of 435 are 3 x 5 x 29

Prime factors of 323 are 17 x 19

Prime factors of 742 are 2 x 7 x 53

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

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 435, 323, 742, 728

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

Apply this formula for all numbers.

Step1:

LCM(435, 323) = 140505

GCD(435, 323) = ( 435 x 323 ) / 140505

= 435 / 323

= 435

Step2:

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

= 1 / 742

= 1

Step3:

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

= 1 / 728

= 1

So, Greatest Common Divisor of 435, 323, 742, 728 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 647, 890, 276, 742
• GCD of 370, 759, 516, 489
• GCD of 256, 606, 703, 109
• GCD of 205, 866, 460, 223
• GCD of 467, 815, 584, 405

Given numbers are 435, 323, 742, 728
The greatest common divisor of numbers 435, 323, 742, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 435, 323, 742, 728 is 1.

1. What is the GCD of 435, 323, 742, 728?

GCD of given numbers 435, 323, 742, 728 is 1

2. How to calculate the greatest common divisor of 435, 323, 742, 728?

We can find the highest common divisor of 435, 323, 742, 728 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 435, 323, 742, 728 i.e 1.

3. How can I use the GCD of 435, 323, 742, 728Calculator?

Out the numbers 435, 323, 742, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.