Online GCD Calculator is useful to find the GCD of 664, 880, 460, 956 quickly. Get the easiest ways to solve the greatest common divisor of 664, 880, 460, 956 i.e 4 in different methods as follows.
Given Input numbers are 664, 880, 460, 956
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 880 :
The positive integer divisors of 880 that completely divides 880 are.
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
Divisors of 460 :
The positive integer divisors of 460 that completely divides 460 are.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
Divisors of 956 :
The positive integer divisors of 956 that completely divides 956 are.
1, 2, 4, 239, 478, 956
GCD of numbers is the greatest common divisor
So, the GCD (664, 880, 460, 956) = 4.
Given numbers are 664, 880, 460, 956
The list of prime factors of all numbers are
Prime factors of 664 are 2 x 2 x 2 x 83
Prime factors of 880 are 2 x 2 x 2 x 2 x 5 x 11
Prime factors of 460 are 2 x 2 x 5 x 23
Prime factors of 956 are 2 x 2 x 239
The highest common occurrence is 22
Therefore, GCD of 664, 880, 460, 956 is 4.
Given numbers are 664, 880, 460, 956
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(664, 880) = 73040
GCD(664, 880) = ( 664 x 880 ) / 73040
= 664 / 880
= 664
Step2:
LCM(8, 460) = 920
GCD(8, 460) = ( 8 x 460 ) / 920
= 8 / 460
= 8
Step3:
LCM(4, 956) = 956
GCD(4, 956) = ( 4 x 956 ) / 956
= 4 / 956
= 4
So, Greatest Common Divisor of 664, 880, 460, 956 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 664, 880, 460, 956
The greatest common divisor of numbers 664, 880, 460, 956 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 664, 880, 460, 956 is 4.
1. What is the GCD of 664, 880, 460, 956?
GCD of given numbers 664, 880, 460, 956 is 4
2. How to calculate the greatest common divisor of 664, 880, 460, 956?
We can find the highest common divisor of 664, 880, 460, 956 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, 880, 460, 956 i.e 4.
3. How can I use the GCD of 664, 880, 460, 956Calculator?
Out the numbers 664, 880, 460, 956 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.