GCD of 320, 500, 275, 900 Calculator

Given Input numbers are 320, 500, 275, 900

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

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

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 275 :

The positive integer divisors of 275 that completely divides 275 are.

1, 5, 11, 25, 55, 275

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

GCD of numbers is the greatest common divisor

So, the GCD (320, 500, 275, 900) = 5.

Given numbers are 320, 500, 275, 900

The list of prime factors of all numbers are

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

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

Prime factors of 275 are 5 x 5 x 11

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

The highest common occurrence is 5¹

Therefore, GCD of 320, 500, 275, 900 is 5.

Given numbers are 320, 500, 275, 900

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

Apply this formula for all numbers.

Step1:

LCM(320, 500) = 8000

GCD(320, 500) = ( 320 x 500 ) / 8000

= 320 / 500

= 320

Step2:

LCM(20, 275) = 1100

GCD(20, 275) = ( 20 x 275 ) / 1100

= 20 / 275

= 20

Step3:

LCM(5, 900) = 900

GCD(5, 900) = ( 5 x 900 ) / 900

= 5 / 900

= 5

So, Greatest Common Divisor of 320, 500, 275, 900 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 174, 217, 442, 481
• GCD of 428, 306, 305, 538
• GCD of 689, 621, 430, 743
• GCD of 829, 319, 538, 775
• GCD of 299, 730, 251, 823

Given numbers are 320, 500, 275, 900
The greatest common divisor of numbers 320, 500, 275, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 320, 500, 275, 900 is 5.

1. What is the GCD of 320, 500, 275, 900?

GCD of given numbers 320, 500, 275, 900 is 5

2. How to calculate the greatest common divisor of 320, 500, 275, 900?

We can find the highest common divisor of 320, 500, 275, 900 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 320, 500, 275, 900 i.e 5.

3. How can I use the GCD of 320, 500, 275, 900Calculator?

Out the numbers 320, 500, 275, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.