GCD of 144, 113, 900, 904 Calculator

Given Input numbers are 144, 113, 900, 904

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 113 :

The positive integer divisors of 113 that completely divides 113 are.

1, 113

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 904 :

The positive integer divisors of 904 that completely divides 904 are.

1, 2, 4, 8, 113, 226, 452, 904

GCD of numbers is the greatest common divisor

So, the GCD (144, 113, 900, 904) = 1.

Given numbers are 144, 113, 900, 904

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 113 are 113

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

Prime factors of 904 are 2 x 2 x 2 x 113

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

Given numbers are 144, 113, 900, 904

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

Apply this formula for all numbers.

Step1:

LCM(144, 113) = 16272

GCD(144, 113) = ( 144 x 113 ) / 16272

= 144 / 113

= 144

Step2:

LCM(1, 900) = 900

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

= 1 / 900

= 1

Step3:

LCM(1, 904) = 904

GCD(1, 904) = ( 1 x 904 ) / 904

= 1 / 904

= 1

So, Greatest Common Divisor of 144, 113, 900, 904 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 711, 253, 621, 993
• GCD of 342, 777, 391, 620
• GCD of 791, 236, 214, 829
• GCD of 921, 293, 142, 251
• GCD of 587, 325, 161, 103

Given numbers are 144, 113, 900, 904
The greatest common divisor of numbers 144, 113, 900, 904 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 113, 900, 904 is 1.

1. What is the GCD of 144, 113, 900, 904?

GCD of given numbers 144, 113, 900, 904 is 1

2. How to calculate the greatest common divisor of 144, 113, 900, 904?

We can find the highest common divisor of 144, 113, 900, 904 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, 113, 900, 904 i.e 1.

3. How can I use the GCD of 144, 113, 900, 904Calculator?

Out the numbers 144, 113, 900, 904 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.