Online GCD Calculator is useful to find the GCD of 664, 446, 928, 138 quickly. Get the easiest ways to solve the greatest common divisor of 664, 446, 928, 138 i.e 2 in different methods as follows.
Given Input numbers are 664, 446, 928, 138
In the factoring method, we have to find the divisors of all numbers
Divisors of 664 :
The positive integer divisors of 664 that completely divides 664 are.
1, 2, 4, 8, 83, 166, 332, 664
Divisors of 446 :
The positive integer divisors of 446 that completely divides 446 are.
1, 2, 223, 446
Divisors of 928 :
The positive integer divisors of 928 that completely divides 928 are.
1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
GCD of numbers is the greatest common divisor
So, the GCD (664, 446, 928, 138) = 2.
Given numbers are 664, 446, 928, 138
The list of prime factors of all numbers are
Prime factors of 664 are 2 x 2 x 2 x 83
Prime factors of 446 are 2 x 223
Prime factors of 928 are 2 x 2 x 2 x 2 x 2 x 29
Prime factors of 138 are 2 x 3 x 23
The highest common occurrence is 21
Therefore, GCD of 664, 446, 928, 138 is 2.
Given numbers are 664, 446, 928, 138
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(664, 446) = 148072
GCD(664, 446) = ( 664 x 446 ) / 148072
= 664 / 446
= 664
Step2:
LCM(2, 928) = 928
GCD(2, 928) = ( 2 x 928 ) / 928
= 2 / 928
= 2
Step3:
LCM(2, 138) = 138
GCD(2, 138) = ( 2 x 138 ) / 138
= 2 / 138
= 2
So, Greatest Common Divisor of 664, 446, 928, 138 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 664, 446, 928, 138
The greatest common divisor of numbers 664, 446, 928, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 664, 446, 928, 138 is 2.
1. What is the GCD of 664, 446, 928, 138?
GCD of given numbers 664, 446, 928, 138 is 2
2. How to calculate the greatest common divisor of 664, 446, 928, 138?
We can find the highest common divisor of 664, 446, 928, 138 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 664, 446, 928, 138 i.e 2.
3. How can I use the GCD of 664, 446, 928, 138Calculator?
Out the numbers 664, 446, 928, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.