GCD of 891, 144, 38, 225 Calculator

Given Input numbers are 891, 144, 38, 225

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

Divisors of 891 :

The positive integer divisors of 891 that completely divides 891 are.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

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 38 :

The positive integer divisors of 38 that completely divides 38 are.

1, 2, 19, 38

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

GCD of numbers is the greatest common divisor

So, the GCD (891, 144, 38, 225) = 1.

Given numbers are 891, 144, 38, 225

The list of prime factors of all numbers are

Prime factors of 891 are 3 x 3 x 3 x 3 x 11

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

Prime factors of 38 are 2 x 19

Prime factors of 225 are 3 x 3 x 5 x 5

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

Given numbers are 891, 144, 38, 225

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

Apply this formula for all numbers.

Step1:

LCM(891, 144) = 14256

GCD(891, 144) = ( 891 x 144 ) / 14256

= 891 / 144

= 891

Step2:

LCM(9, 38) = 342

GCD(9, 38) = ( 9 x 38 ) / 342

= 9 / 38

= 9

Step3:

LCM(1, 225) = 225

GCD(1, 225) = ( 1 x 225 ) / 225

= 1 / 225

= 1

So, Greatest Common Divisor of 891, 144, 38, 225 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 329, 962, 84, 192
• GCD of 668, 598, 19, 416
• GCD of 759, 614, 84, 220
• GCD of 405, 202, 27, 227
• GCD of 617, 931, 27, 136

Given numbers are 891, 144, 38, 225
The greatest common divisor of numbers 891, 144, 38, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 891, 144, 38, 225 is 1.

1. What is the GCD of 891, 144, 38, 225?

GCD of given numbers 891, 144, 38, 225 is 1

2. How to calculate the greatest common divisor of 891, 144, 38, 225?

We can find the highest common divisor of 891, 144, 38, 225 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 891, 144, 38, 225 i.e 1.

3. How can I use the GCD of 891, 144, 38, 225Calculator?

Out the numbers 891, 144, 38, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.