Online GCD Calculator is useful to find the GCD of 488, 609, 408, 224 quickly. Get the easiest ways to solve the greatest common divisor of 488, 609, 408, 224 i.e 1 in different methods as follows.
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.
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.