GCD of 900, 334, 728, 382 Calculator

Given Input numbers are 900, 334, 728, 382

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

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 334 :

The positive integer divisors of 334 that completely divides 334 are.

1, 2, 167, 334

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 382 :

The positive integer divisors of 382 that completely divides 382 are.

1, 2, 191, 382

GCD of numbers is the greatest common divisor

So, the GCD (900, 334, 728, 382) = 2.

Given numbers are 900, 334, 728, 382

The list of prime factors of all numbers are

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 334 are 2 x 167

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

Prime factors of 382 are 2 x 191

The highest common occurrence is 2¹

Therefore, GCD of 900, 334, 728, 382 is 2.

Given numbers are 900, 334, 728, 382

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

Apply this formula for all numbers.

Step1:

LCM(900, 334) = 150300

GCD(900, 334) = ( 900 x 334 ) / 150300

= 900 / 334

= 900

Step2:

LCM(2, 728) = 728

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

= 2 / 728

= 2

Step3:

LCM(2, 382) = 382

GCD(2, 382) = ( 2 x 382 ) / 382

= 2 / 382

= 2

So, Greatest Common Divisor of 900, 334, 728, 382 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 626, 530, 269, 130
• GCD of 407, 243, 470, 105
• GCD of 598, 742, 437, 399
• GCD of 976, 699, 965, 480
• GCD of 687, 783, 308, 277

Given numbers are 900, 334, 728, 382
The greatest common divisor of numbers 900, 334, 728, 382 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 334, 728, 382 is 2.

1. What is the GCD of 900, 334, 728, 382?

GCD of given numbers 900, 334, 728, 382 is 2

2. How to calculate the greatest common divisor of 900, 334, 728, 382?

We can find the highest common divisor of 900, 334, 728, 382 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 900, 334, 728, 382 i.e 2.

3. How can I use the GCD of 900, 334, 728, 382Calculator?

Out the numbers 900, 334, 728, 382 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.