Online GCD Calculator is useful to find the GCD of 544, 164, 464, 908 quickly. Get the easiest ways to solve the greatest common divisor of 544, 164, 464, 908 i.e 4 in different methods as follows.
Given Input numbers are 544, 164, 464, 908
In the factoring method, we have to find the divisors of all numbers
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 164 :
The positive integer divisors of 164 that completely divides 164 are.
1, 2, 4, 41, 82, 164
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 908 :
The positive integer divisors of 908 that completely divides 908 are.
1, 2, 4, 227, 454, 908
GCD of numbers is the greatest common divisor
So, the GCD (544, 164, 464, 908) = 4.
Given numbers are 544, 164, 464, 908
The list of prime factors of all numbers are
Prime factors of 544 are 2 x 2 x 2 x 2 x 2 x 17
Prime factors of 164 are 2 x 2 x 41
Prime factors of 464 are 2 x 2 x 2 x 2 x 29
Prime factors of 908 are 2 x 2 x 227
The highest common occurrence is 22
Therefore, GCD of 544, 164, 464, 908 is 4.
Given numbers are 544, 164, 464, 908
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(544, 164) = 22304
GCD(544, 164) = ( 544 x 164 ) / 22304
= 544 / 164
= 544
Step2:
LCM(4, 464) = 464
GCD(4, 464) = ( 4 x 464 ) / 464
= 4 / 464
= 4
Step3:
LCM(4, 908) = 908
GCD(4, 908) = ( 4 x 908 ) / 908
= 4 / 908
= 4
So, Greatest Common Divisor of 544, 164, 464, 908 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 544, 164, 464, 908
The greatest common divisor of numbers 544, 164, 464, 908 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 544, 164, 464, 908 is 4.
1. What is the GCD of 544, 164, 464, 908?
GCD of given numbers 544, 164, 464, 908 is 4
2. How to calculate the greatest common divisor of 544, 164, 464, 908?
We can find the highest common divisor of 544, 164, 464, 908 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 544, 164, 464, 908 i.e 4.
3. How can I use the GCD of 544, 164, 464, 908Calculator?
Out the numbers 544, 164, 464, 908 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.