Online GCD Calculator is useful to find the GCD of 488, 956, 300, 256 quickly. Get the easiest ways to solve the greatest common divisor of 488, 956, 300, 256 i.e 4 in different methods as follows.
Given Input numbers are 488, 956, 300, 256
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 956 :
The positive integer divisors of 956 that completely divides 956 are.
1, 2, 4, 239, 478, 956
Divisors of 300 :
The positive integer divisors of 300 that completely divides 300 are.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
Divisors of 256 :
The positive integer divisors of 256 that completely divides 256 are.
1, 2, 4, 8, 16, 32, 64, 128, 256
GCD of numbers is the greatest common divisor
So, the GCD (488, 956, 300, 256) = 4.
Given numbers are 488, 956, 300, 256
The list of prime factors of all numbers are
Prime factors of 488 are 2 x 2 x 2 x 61
Prime factors of 956 are 2 x 2 x 239
Prime factors of 300 are 2 x 2 x 3 x 5 x 5
Prime factors of 256 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
The highest common occurrence is 22
Therefore, GCD of 488, 956, 300, 256 is 4.
Given numbers are 488, 956, 300, 256
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(488, 956) = 116632
GCD(488, 956) = ( 488 x 956 ) / 116632
= 488 / 956
= 488
Step2:
LCM(4, 300) = 300
GCD(4, 300) = ( 4 x 300 ) / 300
= 4 / 300
= 4
Step3:
LCM(4, 256) = 256
GCD(4, 256) = ( 4 x 256 ) / 256
= 4 / 256
= 4
So, Greatest Common Divisor of 488, 956, 300, 256 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 488, 956, 300, 256
The greatest common divisor of numbers 488, 956, 300, 256 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 488, 956, 300, 256 is 4.
1. What is the GCD of 488, 956, 300, 256?
GCD of given numbers 488, 956, 300, 256 is 4
2. How to calculate the greatest common divisor of 488, 956, 300, 256?
We can find the highest common divisor of 488, 956, 300, 256 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, 956, 300, 256 i.e 4.
3. How can I use the GCD of 488, 956, 300, 256Calculator?
Out the numbers 488, 956, 300, 256 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.