GCD of 900, 318, 648, 572 Calculator

Given Input numbers are 900, 318, 648, 572

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 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 572 :

The positive integer divisors of 572 that completely divides 572 are.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

GCD of numbers is the greatest common divisor

So, the GCD (900, 318, 648, 572) = 2.

Given numbers are 900, 318, 648, 572

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 318 are 2 x 3 x 53

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 572 are 2 x 2 x 11 x 13

The highest common occurrence is 2¹

Therefore, GCD of 900, 318, 648, 572 is 2.

Given numbers are 900, 318, 648, 572

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

Apply this formula for all numbers.

Step1:

LCM(900, 318) = 47700

GCD(900, 318) = ( 900 x 318 ) / 47700

= 900 / 318

= 900

Step2:

LCM(6, 648) = 648

GCD(6, 648) = ( 6 x 648 ) / 648

= 6 / 648

= 6

Step3:

LCM(6, 572) = 1716

GCD(6, 572) = ( 6 x 572 ) / 1716

= 6 / 572

= 6

So, Greatest Common Divisor of 900, 318, 648, 572 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 889, 908, 253, 411
• GCD of 371, 193, 681, 475
• GCD of 652, 230, 274, 752
• GCD of 364, 839, 104, 767
• GCD of 642, 306, 764, 764

Given numbers are 900, 318, 648, 572
The greatest common divisor of numbers 900, 318, 648, 572 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 318, 648, 572 is 2.

1. What is the GCD of 900, 318, 648, 572?

GCD of given numbers 900, 318, 648, 572 is 2

2. How to calculate the greatest common divisor of 900, 318, 648, 572?

We can find the highest common divisor of 900, 318, 648, 572 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, 318, 648, 572 i.e 2.

3. How can I use the GCD of 900, 318, 648, 572Calculator?

Out the numbers 900, 318, 648, 572 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.