Online GCD Calculator is useful to find the GCD of 464, 104, 544, 488 quickly. Get the easiest ways to solve the greatest common divisor of 464, 104, 544, 488 i.e 8 in different methods as follows.
Given Input numbers are 464, 104, 544, 488
In the factoring method, we have to find the divisors of all numbers
Divisors of 464 :
The positive integer divisors of 464 that completely divides 464 are.
1, 2, 4, 8, 16, 29, 58, 116, 232, 464
Divisors of 104 :
The positive integer divisors of 104 that completely divides 104 are.
1, 2, 4, 8, 13, 26, 52, 104
Divisors of 544 :
The positive integer divisors of 544 that completely divides 544 are.
1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
Divisors of 488 :
The positive integer divisors of 488 that completely divides 488 are.
1, 2, 4, 8, 61, 122, 244, 488
GCD of numbers is the greatest common divisor
So, the GCD (464, 104, 544, 488) = 8.
Given numbers are 464, 104, 544, 488
The list of prime factors of all numbers are
Prime factors of 464 are 2 x 2 x 2 x 2 x 29
Prime factors of 104 are 2 x 2 x 2 x 13
Prime factors of 544 are 2 x 2 x 2 x 2 x 2 x 17
Prime factors of 488 are 2 x 2 x 2 x 61
The highest common occurrence is 23
Therefore, GCD of 464, 104, 544, 488 is 8.
Given numbers are 464, 104, 544, 488
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(464, 104) = 6032
GCD(464, 104) = ( 464 x 104 ) / 6032
= 464 / 104
= 464
Step2:
LCM(8, 544) = 544
GCD(8, 544) = ( 8 x 544 ) / 544
= 8 / 544
= 8
Step3:
LCM(8, 488) = 488
GCD(8, 488) = ( 8 x 488 ) / 488
= 8 / 488
= 8
So, Greatest Common Divisor of 464, 104, 544, 488 is 8
Here are some samples of GCD of Numbers calculations.
Given numbers are 464, 104, 544, 488
The greatest common divisor of numbers 464, 104, 544, 488 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 464, 104, 544, 488 is 8.
1. What is the GCD of 464, 104, 544, 488?
GCD of given numbers 464, 104, 544, 488 is 8
2. How to calculate the greatest common divisor of 464, 104, 544, 488?
We can find the highest common divisor of 464, 104, 544, 488 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 464, 104, 544, 488 i.e 8.
3. How can I use the GCD of 464, 104, 544, 488Calculator?
Out the numbers 464, 104, 544, 488 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.