GCD of 900, 675, 165, 320 Calculator

Given Input numbers are 900, 675, 165, 320

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 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 165 :

The positive integer divisors of 165 that completely divides 165 are.

1, 3, 5, 11, 15, 33, 55, 165

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

GCD of numbers is the greatest common divisor

So, the GCD (900, 675, 165, 320) = 5.

Given numbers are 900, 675, 165, 320

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 675 are 3 x 3 x 3 x 5 x 5

Prime factors of 165 are 3 x 5 x 11

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

The highest common occurrence is 5¹

Therefore, GCD of 900, 675, 165, 320 is 5.

Given numbers are 900, 675, 165, 320

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

Apply this formula for all numbers.

Step1:

LCM(900, 675) = 2700

GCD(900, 675) = ( 900 x 675 ) / 2700

= 900 / 675

= 900

Step2:

LCM(225, 165) = 2475

GCD(225, 165) = ( 225 x 165 ) / 2475

= 225 / 165

= 225

Step3:

LCM(15, 320) = 960

GCD(15, 320) = ( 15 x 320 ) / 960

= 15 / 320

= 15

So, Greatest Common Divisor of 900, 675, 165, 320 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 118, 837, 160, 709
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Given numbers are 900, 675, 165, 320
The greatest common divisor of numbers 900, 675, 165, 320 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 675, 165, 320 is 5.

1. What is the GCD of 900, 675, 165, 320?

GCD of given numbers 900, 675, 165, 320 is 5

2. How to calculate the greatest common divisor of 900, 675, 165, 320?

We can find the highest common divisor of 900, 675, 165, 320 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, 675, 165, 320 i.e 5.

3. How can I use the GCD of 900, 675, 165, 320Calculator?

Out the numbers 900, 675, 165, 320 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.