Online GCD Calculator is useful to find the GCD of 544, 704, 560 quickly. Get the easiest ways to solve the greatest common divisor of 544, 704, 560 i.e 16 in different methods as follows.
Given Input numbers are 544, 704, 560
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 704 :
The positive integer divisors of 704 that completely divides 704 are.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
Divisors of 560 :
The positive integer divisors of 560 that completely divides 560 are.
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
GCD of numbers is the greatest common divisor
So, the GCD (544, 704, 560) = 16.
Given numbers are 544, 704, 560
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 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11
Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7
The highest common occurrence is 24
Therefore, GCD of 544, 704, 560 is 16.
Given numbers are 544, 704, 560
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(544, 704) = 11968
GCD(544, 704) = ( 544 x 704 ) / 11968
= 544 / 704
= 544
Step2:
LCM(32, 560) = 1120
GCD(32, 560) = ( 32 x 560 ) / 1120
= 32 / 560
= 32
So, Greatest Common Divisor of 544, 704, 560 is 16
Here are some samples of GCD of Numbers calculations.
Given numbers are 544, 704, 560
The greatest common divisor of numbers 544, 704, 560 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 544, 704, 560 is 16.
1. What is the GCD of 544, 704, 560?
GCD of given numbers 544, 704, 560 is 16
2. How to calculate the greatest common divisor of 544, 704, 560?
We can find the highest common divisor of 544, 704, 560 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, 704, 560 i.e 16.
3. How can I use the GCD of 544, 704, 560Calculator?
Out the numbers 544, 704, 560 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.