Online GCD Calculator is useful to find the GCD of 704, 672, 648 quickly. Get the easiest ways to solve the greatest common divisor of 704, 672, 648 i.e 8 in different methods as follows.
Given Input numbers are 704, 672, 648
In the factoring method, we have to find the divisors of all numbers
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 672 :
The positive integer divisors of 672 that completely divides 672 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
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 (704, 672, 648) = 8.
Given numbers are 704, 672, 648
The list of prime factors of all numbers are
Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11
Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7
Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3
The highest common occurrence is 23
Therefore, GCD of 704, 672, 648 is 8.
Given numbers are 704, 672, 648
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(704, 672) = 14784
GCD(704, 672) = ( 704 x 672 ) / 14784
= 704 / 672
= 704
Step2:
LCM(32, 648) = 2592
GCD(32, 648) = ( 32 x 648 ) / 2592
= 32 / 648
= 32
So, Greatest Common Divisor of 704, 672, 648 is 8
Here are some samples of GCD of Numbers calculations.
Given numbers are 704, 672, 648
The greatest common divisor of numbers 704, 672, 648 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 672, 648 is 8.
1. What is the GCD of 704, 672, 648?
GCD of given numbers 704, 672, 648 is 8
2. How to calculate the greatest common divisor of 704, 672, 648?
We can find the highest common divisor of 704, 672, 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 704, 672, 648 i.e 8.
3. How can I use the GCD of 704, 672, 648Calculator?
Out the numbers 704, 672, 648 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.