GCD of 434, 452, 728, 300 Calculator

Given Input numbers are 434, 452, 728, 300

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

Divisors of 434 :

The positive integer divisors of 434 that completely divides 434 are.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 452 :

The positive integer divisors of 452 that completely divides 452 are.

1, 2, 4, 113, 226, 452

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 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

GCD of numbers is the greatest common divisor

So, the GCD (434, 452, 728, 300) = 2.

Given numbers are 434, 452, 728, 300

The list of prime factors of all numbers are

Prime factors of 434 are 2 x 7 x 31

Prime factors of 452 are 2 x 2 x 113

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

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 434, 452, 728, 300 is 2.

Given numbers are 434, 452, 728, 300

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

Apply this formula for all numbers.

Step1:

LCM(434, 452) = 98084

GCD(434, 452) = ( 434 x 452 ) / 98084

= 434 / 452

= 434

Step2:

LCM(2, 728) = 728

GCD(2, 728) = ( 2 x 728 ) / 728

= 2 / 728

= 2

Step3:

LCM(2, 300) = 300

GCD(2, 300) = ( 2 x 300 ) / 300

= 2 / 300

= 2

So, Greatest Common Divisor of 434, 452, 728, 300 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 855, 725, 285, 950
• GCD of 641, 183, 228, 809
• GCD of 251, 447, 728, 888
• GCD of 124, 705, 351, 912
• GCD of 120, 551, 362, 232

Given numbers are 434, 452, 728, 300
The greatest common divisor of numbers 434, 452, 728, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 434, 452, 728, 300 is 2.

1. What is the GCD of 434, 452, 728, 300?

GCD of given numbers 434, 452, 728, 300 is 2

2. How to calculate the greatest common divisor of 434, 452, 728, 300?

We can find the highest common divisor of 434, 452, 728, 300 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 434, 452, 728, 300 i.e 2.

3. How can I use the GCD of 434, 452, 728, 300Calculator?

Out the numbers 434, 452, 728, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.