GCD of 900, 498, 622, 500 Calculator

Given Input numbers are 900, 498, 622, 500

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 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 622 :

The positive integer divisors of 622 that completely divides 622 are.

1, 2, 311, 622

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

GCD of numbers is the greatest common divisor

So, the GCD (900, 498, 622, 500) = 2.

Given numbers are 900, 498, 622, 500

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 498 are 2 x 3 x 83

Prime factors of 622 are 2 x 311

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 900, 498, 622, 500 is 2.

Given numbers are 900, 498, 622, 500

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

Apply this formula for all numbers.

Step1:

LCM(900, 498) = 74700

GCD(900, 498) = ( 900 x 498 ) / 74700

= 900 / 498

= 900

Step2:

LCM(6, 622) = 1866

GCD(6, 622) = ( 6 x 622 ) / 1866

= 6 / 622

= 6

Step3:

LCM(2, 500) = 500

GCD(2, 500) = ( 2 x 500 ) / 500

= 2 / 500

= 2

So, Greatest Common Divisor of 900, 498, 622, 500 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 362, 746, 519, 465
• GCD of 686, 167, 199, 194
• GCD of 118, 586, 970, 135
• GCD of 395, 963, 613, 866
• GCD of 445, 888, 364, 407

Given numbers are 900, 498, 622, 500
The greatest common divisor of numbers 900, 498, 622, 500 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 498, 622, 500 is 2.

1. What is the GCD of 900, 498, 622, 500?

GCD of given numbers 900, 498, 622, 500 is 2

2. How to calculate the greatest common divisor of 900, 498, 622, 500?

We can find the highest common divisor of 900, 498, 622, 500 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, 498, 622, 500 i.e 2.

3. How can I use the GCD of 900, 498, 622, 500Calculator?

Out the numbers 900, 498, 622, 500 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.