Online GCD Calculator is useful to find the GCD of 488, 540, 122, 648 quickly. Get the easiest ways to solve the greatest common divisor of 488, 540, 122, 648 i.e 2 in different methods as follows.
Given Input numbers are 488, 540, 122, 648
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 540 :
The positive integer divisors of 540 that completely divides 540 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
Divisors of 122 :
The positive integer divisors of 122 that completely divides 122 are.
1, 2, 61, 122
Divisors of 648 :
The positive integer divisors of 648 that completely divides 648 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
GCD of numbers is the greatest common divisor
So, the GCD (488, 540, 122, 648) = 2.
Given numbers are 488, 540, 122, 648
The list of prime factors of all numbers are
Prime factors of 488 are 2 x 2 x 2 x 61
Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5
Prime factors of 122 are 2 x 61
Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3
The highest common occurrence is 21
Therefore, GCD of 488, 540, 122, 648 is 2.
Given numbers are 488, 540, 122, 648
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(488, 540) = 65880
GCD(488, 540) = ( 488 x 540 ) / 65880
= 488 / 540
= 488
Step2:
LCM(4, 122) = 244
GCD(4, 122) = ( 4 x 122 ) / 244
= 4 / 122
= 4
Step3:
LCM(2, 648) = 648
GCD(2, 648) = ( 2 x 648 ) / 648
= 2 / 648
= 2
So, Greatest Common Divisor of 488, 540, 122, 648 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 488, 540, 122, 648
The greatest common divisor of numbers 488, 540, 122, 648 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 488, 540, 122, 648 is 2.
1. What is the GCD of 488, 540, 122, 648?
GCD of given numbers 488, 540, 122, 648 is 2
2. How to calculate the greatest common divisor of 488, 540, 122, 648?
We can find the highest common divisor of 488, 540, 122, 648 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, 540, 122, 648 i.e 2.
3. How can I use the GCD of 488, 540, 122, 648Calculator?
Out the numbers 488, 540, 122, 648 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.