Online GCD Calculator is useful to find the GCD of 488, 348, 622, 684 quickly. Get the easiest ways to solve the greatest common divisor of 488, 348, 622, 684 i.e 2 in different methods as follows.
Given Input numbers are 488, 348, 622, 684
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 348 :
The positive integer divisors of 348 that completely divides 348 are.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
Divisors of 622 :
The positive integer divisors of 622 that completely divides 622 are.
1, 2, 311, 622
Divisors of 684 :
The positive integer divisors of 684 that completely divides 684 are.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
GCD of numbers is the greatest common divisor
So, the GCD (488, 348, 622, 684) = 2.
Given numbers are 488, 348, 622, 684
The list of prime factors of all numbers are
Prime factors of 488 are 2 x 2 x 2 x 61
Prime factors of 348 are 2 x 2 x 3 x 29
Prime factors of 622 are 2 x 311
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
The highest common occurrence is 21
Therefore, GCD of 488, 348, 622, 684 is 2.
Given numbers are 488, 348, 622, 684
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(488, 348) = 42456
GCD(488, 348) = ( 488 x 348 ) / 42456
= 488 / 348
= 488
Step2:
LCM(4, 622) = 1244
GCD(4, 622) = ( 4 x 622 ) / 1244
= 4 / 622
= 4
Step3:
LCM(2, 684) = 684
GCD(2, 684) = ( 2 x 684 ) / 684
= 2 / 684
= 2
So, Greatest Common Divisor of 488, 348, 622, 684 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 488, 348, 622, 684
The greatest common divisor of numbers 488, 348, 622, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 488, 348, 622, 684 is 2.
1. What is the GCD of 488, 348, 622, 684?
GCD of given numbers 488, 348, 622, 684 is 2
2. How to calculate the greatest common divisor of 488, 348, 622, 684?
We can find the highest common divisor of 488, 348, 622, 684 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, 348, 622, 684 i.e 2.
3. How can I use the GCD of 488, 348, 622, 684Calculator?
Out the numbers 488, 348, 622, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.