GCD of 500, 900, 280, 108 Calculator

Given Input numbers are 500, 900, 280, 108

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

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

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 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

GCD of numbers is the greatest common divisor

So, the GCD (500, 900, 280, 108) = 4.

Given numbers are 500, 900, 280, 108

The list of prime factors of all numbers are

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

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

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

The highest common occurrence is 2²

Therefore, GCD of 500, 900, 280, 108 is 4.

Given numbers are 500, 900, 280, 108

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

Apply this formula for all numbers.

Step1:

LCM(500, 900) = 4500

GCD(500, 900) = ( 500 x 900 ) / 4500

= 500 / 900

= 500

Step2:

LCM(100, 280) = 1400

GCD(100, 280) = ( 100 x 280 ) / 1400

= 100 / 280

= 100

Step3:

LCM(20, 108) = 540

GCD(20, 108) = ( 20 x 108 ) / 540

= 20 / 108

= 20

So, Greatest Common Divisor of 500, 900, 280, 108 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 737, 978, 822, 244
• GCD of 794, 607, 459, 872
• GCD of 162, 798, 660, 922
• GCD of 238, 627, 681, 464
• GCD of 730, 981, 271, 584

Given numbers are 500, 900, 280, 108
The greatest common divisor of numbers 500, 900, 280, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 900, 280, 108 is 4.

1. What is the GCD of 500, 900, 280, 108?

GCD of given numbers 500, 900, 280, 108 is 4

2. How to calculate the greatest common divisor of 500, 900, 280, 108?

We can find the highest common divisor of 500, 900, 280, 108 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 500, 900, 280, 108 i.e 4.

3. How can I use the GCD of 500, 900, 280, 108Calculator?

Out the numbers 500, 900, 280, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.