Online GCD Calculator is useful to find the GCD of 496, 440, 608, 550 quickly. Get the easiest ways to solve the greatest common divisor of 496, 440, 608, 550 i.e 2 in different methods as follows.
Given Input numbers are 496, 440, 608, 550
In the factoring method, we have to find the divisors of all numbers
Divisors of 496 :
The positive integer divisors of 496 that completely divides 496 are.
1, 2, 4, 8, 16, 31, 62, 124, 248, 496
Divisors of 440 :
The positive integer divisors of 440 that completely divides 440 are.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
Divisors of 608 :
The positive integer divisors of 608 that completely divides 608 are.
1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
Divisors of 550 :
The positive integer divisors of 550 that completely divides 550 are.
1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
GCD of numbers is the greatest common divisor
So, the GCD (496, 440, 608, 550) = 2.
Given numbers are 496, 440, 608, 550
The list of prime factors of all numbers are
Prime factors of 496 are 2 x 2 x 2 x 2 x 31
Prime factors of 440 are 2 x 2 x 2 x 5 x 11
Prime factors of 608 are 2 x 2 x 2 x 2 x 2 x 19
Prime factors of 550 are 2 x 5 x 5 x 11
The highest common occurrence is 21
Therefore, GCD of 496, 440, 608, 550 is 2.
Given numbers are 496, 440, 608, 550
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(496, 440) = 27280
GCD(496, 440) = ( 496 x 440 ) / 27280
= 496 / 440
= 496
Step2:
LCM(8, 608) = 608
GCD(8, 608) = ( 8 x 608 ) / 608
= 8 / 608
= 8
Step3:
LCM(8, 550) = 2200
GCD(8, 550) = ( 8 x 550 ) / 2200
= 8 / 550
= 8
So, Greatest Common Divisor of 496, 440, 608, 550 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 496, 440, 608, 550
The greatest common divisor of numbers 496, 440, 608, 550 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 496, 440, 608, 550 is 2.
1. What is the GCD of 496, 440, 608, 550?
GCD of given numbers 496, 440, 608, 550 is 2
2. How to calculate the greatest common divisor of 496, 440, 608, 550?
We can find the highest common divisor of 496, 440, 608, 550 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 496, 440, 608, 550 i.e 2.
3. How can I use the GCD of 496, 440, 608, 550Calculator?
Out the numbers 496, 440, 608, 550 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.