GCD of 496, 288, 325, 224 Calculator

Given Input numbers are 496, 288, 325, 224

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

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

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 325 :

The positive integer divisors of 325 that completely divides 325 are.

1, 5, 13, 25, 65, 325

Divisors of 224 :

The positive integer divisors of 224 that completely divides 224 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

GCD of numbers is the greatest common divisor

So, the GCD (496, 288, 325, 224) = 1.

Given numbers are 496, 288, 325, 224

The list of prime factors of all numbers are

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

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

Prime factors of 325 are 5 x 5 x 13

Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7

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

Given numbers are 496, 288, 325, 224

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

Apply this formula for all numbers.

Step1:

LCM(496, 288) = 8928

GCD(496, 288) = ( 496 x 288 ) / 8928

= 496 / 288

= 496

Step2:

LCM(16, 325) = 5200

GCD(16, 325) = ( 16 x 325 ) / 5200

= 16 / 325

= 16

Step3:

LCM(1, 224) = 224

GCD(1, 224) = ( 1 x 224 ) / 224

= 1 / 224

= 1

So, Greatest Common Divisor of 496, 288, 325, 224 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 503, 309, 326, 273
• GCD of 849, 169, 100, 959
• GCD of 641, 937, 843, 133
• GCD of 480, 490, 522, 963
• GCD of 675, 456, 264, 505

Given numbers are 496, 288, 325, 224
The greatest common divisor of numbers 496, 288, 325, 224 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 496, 288, 325, 224 is 1.

1. What is the GCD of 496, 288, 325, 224?

GCD of given numbers 496, 288, 325, 224 is 1

2. How to calculate the greatest common divisor of 496, 288, 325, 224?

We can find the highest common divisor of 496, 288, 325, 224 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 496, 288, 325, 224 i.e 1.

3. How can I use the GCD of 496, 288, 325, 224Calculator?

Out the numbers 496, 288, 325, 224 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.