Online GCD Calculator is useful to find the GCD of 672, 434, 56, 904 quickly. Get the easiest ways to solve the greatest common divisor of 672, 434, 56, 904 i.e 2 in different methods as follows.
Given Input numbers are 672, 434, 56, 904
In the factoring method, we have to find the divisors of all numbers
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 434 :
The positive integer divisors of 434 that completely divides 434 are.
1, 2, 7, 14, 31, 62, 217, 434
Divisors of 56 :
The positive integer divisors of 56 that completely divides 56 are.
1, 2, 4, 7, 8, 14, 28, 56
Divisors of 904 :
The positive integer divisors of 904 that completely divides 904 are.
1, 2, 4, 8, 113, 226, 452, 904
GCD of numbers is the greatest common divisor
So, the GCD (672, 434, 56, 904) = 2.
Given numbers are 672, 434, 56, 904
The list of prime factors of all numbers are
Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7
Prime factors of 434 are 2 x 7 x 31
Prime factors of 56 are 2 x 2 x 2 x 7
Prime factors of 904 are 2 x 2 x 2 x 113
The highest common occurrence is 21
Therefore, GCD of 672, 434, 56, 904 is 2.
Given numbers are 672, 434, 56, 904
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(672, 434) = 20832
GCD(672, 434) = ( 672 x 434 ) / 20832
= 672 / 434
= 672
Step2:
LCM(14, 56) = 56
GCD(14, 56) = ( 14 x 56 ) / 56
= 14 / 56
= 14
Step3:
LCM(14, 904) = 6328
GCD(14, 904) = ( 14 x 904 ) / 6328
= 14 / 904
= 14
So, Greatest Common Divisor of 672, 434, 56, 904 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 672, 434, 56, 904
The greatest common divisor of numbers 672, 434, 56, 904 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 672, 434, 56, 904 is 2.
1. What is the GCD of 672, 434, 56, 904?
GCD of given numbers 672, 434, 56, 904 is 2
2. How to calculate the greatest common divisor of 672, 434, 56, 904?
We can find the highest common divisor of 672, 434, 56, 904 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 672, 434, 56, 904 i.e 2.
3. How can I use the GCD of 672, 434, 56, 904Calculator?
Out the numbers 672, 434, 56, 904 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.