GCD of 288, 477, 199, 148 Calculator

Given Input numbers are 288, 477, 199, 148

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

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 477 :

The positive integer divisors of 477 that completely divides 477 are.

1, 3, 9, 53, 159, 477

Divisors of 199 :

The positive integer divisors of 199 that completely divides 199 are.

1, 199

Divisors of 148 :

The positive integer divisors of 148 that completely divides 148 are.

1, 2, 4, 37, 74, 148

GCD of numbers is the greatest common divisor

So, the GCD (288, 477, 199, 148) = 1.

Given numbers are 288, 477, 199, 148

The list of prime factors of all numbers are

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 477 are 3 x 3 x 53

Prime factors of 199 are 199

Prime factors of 148 are 2 x 2 x 37

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

Given numbers are 288, 477, 199, 148

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

Apply this formula for all numbers.

Step1:

LCM(288, 477) = 15264

GCD(288, 477) = ( 288 x 477 ) / 15264

= 288 / 477

= 288

Step2:

LCM(9, 199) = 1791

GCD(9, 199) = ( 9 x 199 ) / 1791

= 9 / 199

= 9

Step3:

LCM(1, 148) = 148

GCD(1, 148) = ( 1 x 148 ) / 148

= 1 / 148

= 1

So, Greatest Common Divisor of 288, 477, 199, 148 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 147, 886, 518, 183
• GCD of 356, 454, 257, 493
• GCD of 583, 508, 354, 836
• GCD of 507, 413, 271, 340
• GCD of 223, 422, 744, 961

Given numbers are 288, 477, 199, 148
The greatest common divisor of numbers 288, 477, 199, 148 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 288, 477, 199, 148 is 1.

1. What is the GCD of 288, 477, 199, 148?

GCD of given numbers 288, 477, 199, 148 is 1

2. How to calculate the greatest common divisor of 288, 477, 199, 148?

We can find the highest common divisor of 288, 477, 199, 148 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 288, 477, 199, 148 i.e 1.

3. How can I use the GCD of 288, 477, 199, 148Calculator?

Out the numbers 288, 477, 199, 148 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.