GCD of 488, 609, 408, 224 Calculator

Given Input numbers are 488, 609, 408, 224

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

Divisors of 488 :

The positive integer divisors of 488 that completely divides 488 are.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 609 :

The positive integer divisors of 609 that completely divides 609 are.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

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 (488, 609, 408, 224) = 1.

Given numbers are 488, 609, 408, 224

The list of prime factors of all numbers are

Prime factors of 488 are 2 x 2 x 2 x 61

Prime factors of 609 are 3 x 7 x 29

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

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 488, 609, 408, 224

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

Apply this formula for all numbers.

Step1:

LCM(488, 609) = 297192

GCD(488, 609) = ( 488 x 609 ) / 297192

= 488 / 609

= 488

Step2:

LCM(1, 408) = 408

GCD(1, 408) = ( 1 x 408 ) / 408

= 1 / 408

= 1

Step3:

LCM(1, 224) = 224

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

= 1 / 224

= 1

So, Greatest Common Divisor of 488, 609, 408, 224 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 866, 655, 344, 121
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• GCD of 733, 967, 583, 983
• GCD of 517, 559, 488, 675
• GCD of 898, 819, 388, 244

Given numbers are 488, 609, 408, 224
The greatest common divisor of numbers 488, 609, 408, 224 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 488, 609, 408, 224 is 1.

1. What is the GCD of 488, 609, 408, 224?

GCD of given numbers 488, 609, 408, 224 is 1

2. How to calculate the greatest common divisor of 488, 609, 408, 224?

We can find the highest common divisor of 488, 609, 408, 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 488, 609, 408, 224 i.e 1.

3. How can I use the GCD of 488, 609, 408, 224Calculator?

Out the numbers 488, 609, 408, 224 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.