Online GCD Calculator is useful to find the GCD of 656, 440, 956, 588 quickly. Get the easiest ways to solve the greatest common divisor of 656, 440, 956, 588 i.e 4 in different methods as follows.
Given Input numbers are 656, 440, 956, 588
In the factoring method, we have to find the divisors of all numbers
Divisors of 656 :
The positive integer divisors of 656 that completely divides 656 are.
1, 2, 4, 8, 16, 41, 82, 164, 328, 656
Divisors of 440 :
The positive integer divisors of 440 that completely divides 440 are.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
Divisors of 956 :
The positive integer divisors of 956 that completely divides 956 are.
1, 2, 4, 239, 478, 956
Divisors of 588 :
The positive integer divisors of 588 that completely divides 588 are.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
GCD of numbers is the greatest common divisor
So, the GCD (656, 440, 956, 588) = 4.
Given numbers are 656, 440, 956, 588
The list of prime factors of all numbers are
Prime factors of 656 are 2 x 2 x 2 x 2 x 41
Prime factors of 440 are 2 x 2 x 2 x 5 x 11
Prime factors of 956 are 2 x 2 x 239
Prime factors of 588 are 2 x 2 x 3 x 7 x 7
The highest common occurrence is 22
Therefore, GCD of 656, 440, 956, 588 is 4.
Given numbers are 656, 440, 956, 588
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(656, 440) = 36080
GCD(656, 440) = ( 656 x 440 ) / 36080
= 656 / 440
= 656
Step2:
LCM(8, 956) = 1912
GCD(8, 956) = ( 8 x 956 ) / 1912
= 8 / 956
= 8
Step3:
LCM(4, 588) = 588
GCD(4, 588) = ( 4 x 588 ) / 588
= 4 / 588
= 4
So, Greatest Common Divisor of 656, 440, 956, 588 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 656, 440, 956, 588
The greatest common divisor of numbers 656, 440, 956, 588 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 656, 440, 956, 588 is 4.
1. What is the GCD of 656, 440, 956, 588?
GCD of given numbers 656, 440, 956, 588 is 4
2. How to calculate the greatest common divisor of 656, 440, 956, 588?
We can find the highest common divisor of 656, 440, 956, 588 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 656, 440, 956, 588 i.e 4.
3. How can I use the GCD of 656, 440, 956, 588Calculator?
Out the numbers 656, 440, 956, 588 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.