Online GCD Calculator is useful to find the GCD of 442, 176, 648 quickly. Get the easiest ways to solve the greatest common divisor of 442, 176, 648 i.e 2 in different methods as follows.
Given Input numbers are 442, 176, 648
In the factoring method, we have to find the divisors of all numbers
Divisors of 442 :
The positive integer divisors of 442 that completely divides 442 are.
1, 2, 13, 17, 26, 34, 221, 442
Divisors of 176 :
The positive integer divisors of 176 that completely divides 176 are.
1, 2, 4, 8, 11, 16, 22, 44, 88, 176
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 (442, 176, 648) = 2.
Given numbers are 442, 176, 648
The list of prime factors of all numbers are
Prime factors of 442 are 2 x 13 x 17
Prime factors of 176 are 2 x 2 x 2 x 2 x 11
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 442, 176, 648 is 2.
Given numbers are 442, 176, 648
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(442, 176) = 38896
GCD(442, 176) = ( 442 x 176 ) / 38896
= 442 / 176
= 442
Step2:
LCM(2, 648) = 648
GCD(2, 648) = ( 2 x 648 ) / 648
= 2 / 648
= 2
So, Greatest Common Divisor of 442, 176, 648 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 442, 176, 648
The greatest common divisor of numbers 442, 176, 648 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 442, 176, 648 is 2.
1. What is the GCD of 442, 176, 648?
GCD of given numbers 442, 176, 648 is 2
2. How to calculate the greatest common divisor of 442, 176, 648?
We can find the highest common divisor of 442, 176, 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 442, 176, 648 i.e 2.
3. How can I use the GCD of 442, 176, 648Calculator?
Out the numbers 442, 176, 648 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.