GCD of 480, 825, 900, 492 Calculator

Given Input numbers are 480, 825, 900, 492

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

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

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 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

GCD of numbers is the greatest common divisor

So, the GCD (480, 825, 900, 492) = 3.

Given numbers are 480, 825, 900, 492

The list of prime factors of all numbers are

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 825 are 3 x 5 x 5 x 11

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

Prime factors of 492 are 2 x 2 x 3 x 41

The highest common occurrence is 3¹

Therefore, GCD of 480, 825, 900, 492 is 3.

Given numbers are 480, 825, 900, 492

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

Apply this formula for all numbers.

Step1:

LCM(480, 825) = 26400

GCD(480, 825) = ( 480 x 825 ) / 26400

= 480 / 825

= 480

Step2:

LCM(15, 900) = 900

GCD(15, 900) = ( 15 x 900 ) / 900

= 15 / 900

= 15

Step3:

LCM(15, 492) = 2460

GCD(15, 492) = ( 15 x 492 ) / 2460

= 15 / 492

= 15

So, Greatest Common Divisor of 480, 825, 900, 492 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 648, 478, 582, 854
• GCD of 133, 115, 398, 529
• GCD of 214, 727, 958, 314
• GCD of 891, 288, 773, 178
• GCD of 365, 885, 426, 690

Given numbers are 480, 825, 900, 492
The greatest common divisor of numbers 480, 825, 900, 492 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 825, 900, 492 is 3.

1. What is the GCD of 480, 825, 900, 492?

GCD of given numbers 480, 825, 900, 492 is 3

2. How to calculate the greatest common divisor of 480, 825, 900, 492?

We can find the highest common divisor of 480, 825, 900, 492 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 480, 825, 900, 492 i.e 3.

3. How can I use the GCD of 480, 825, 900, 492Calculator?

Out the numbers 480, 825, 900, 492 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.