GCD of 144, 486, 845, 900 Calculator

Given Input numbers are 144, 486, 845, 900

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

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 486 :

The positive integer divisors of 486 that completely divides 486 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Divisors of 845 :

The positive integer divisors of 845 that completely divides 845 are.

1, 5, 13, 65, 169, 845

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 (144, 486, 845, 900) = 1.

Given numbers are 144, 486, 845, 900

The list of prime factors of all numbers are

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 486 are 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 845 are 5 x 13 x 13

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

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 144, 486, 845, 900

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

Apply this formula for all numbers.

Step1:

LCM(144, 486) = 3888

GCD(144, 486) = ( 144 x 486 ) / 3888

= 144 / 486

= 144

Step2:

LCM(18, 845) = 15210

GCD(18, 845) = ( 18 x 845 ) / 15210

= 18 / 845

= 18

Step3:

LCM(1, 900) = 900

GCD(1, 900) = ( 1 x 900 ) / 900

= 1 / 900

= 1

So, Greatest Common Divisor of 144, 486, 845, 900 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 149, 410, 111, 676
• GCD of 357, 487, 550, 843
• GCD of 316, 989, 940, 315
• GCD of 519, 206, 415, 999
• GCD of 652, 112, 863, 487

Given numbers are 144, 486, 845, 900
The greatest common divisor of numbers 144, 486, 845, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 486, 845, 900 is 1.

1. What is the GCD of 144, 486, 845, 900?

GCD of given numbers 144, 486, 845, 900 is 1

2. How to calculate the greatest common divisor of 144, 486, 845, 900?

We can find the highest common divisor of 144, 486, 845, 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 144, 486, 845, 900 i.e 1.

3. How can I use the GCD of 144, 486, 845, 900Calculator?

Out the numbers 144, 486, 845, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.