GCD of 872, 288, 752, 225 Calculator

Given Input numbers are 872, 288, 752, 225

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

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

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 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

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 (872, 288, 752, 225) = 1.

Given numbers are 872, 288, 752, 225

The list of prime factors of all numbers are

Prime factors of 872 are 2 x 2 x 2 x 109

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

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

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 872, 288, 752, 225

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

Apply this formula for all numbers.

Step1:

LCM(872, 288) = 31392

GCD(872, 288) = ( 872 x 288 ) / 31392

= 872 / 288

= 872

Step2:

LCM(8, 752) = 752

GCD(8, 752) = ( 8 x 752 ) / 752

= 8 / 752

= 8

Step3:

LCM(8, 225) = 1800

GCD(8, 225) = ( 8 x 225 ) / 1800

= 8 / 225

= 8

So, Greatest Common Divisor of 872, 288, 752, 225 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 683, 842, 692, 907
• GCD of 313, 950, 390, 852
• GCD of 261, 865, 467, 750
• GCD of 697, 396, 943, 430
• GCD of 441, 338, 452, 891

Given numbers are 872, 288, 752, 225
The greatest common divisor of numbers 872, 288, 752, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 872, 288, 752, 225 is 1.

1. What is the GCD of 872, 288, 752, 225?

GCD of given numbers 872, 288, 752, 225 is 1

2. How to calculate the greatest common divisor of 872, 288, 752, 225?

We can find the highest common divisor of 872, 288, 752, 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 872, 288, 752, 225 i.e 1.

3. How can I use the GCD of 872, 288, 752, 225Calculator?

Out the numbers 872, 288, 752, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.