Online GCD Calculator is useful to find the GCD of 656, 464, 680, 136 quickly. Get the easiest ways to solve the greatest common divisor of 656, 464, 680, 136 i.e 8 in different methods as follows.
Given Input numbers are 656, 464, 680, 136
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 464 :
The positive integer divisors of 464 that completely divides 464 are.
1, 2, 4, 8, 16, 29, 58, 116, 232, 464
Divisors of 680 :
The positive integer divisors of 680 that completely divides 680 are.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
Divisors of 136 :
The positive integer divisors of 136 that completely divides 136 are.
1, 2, 4, 8, 17, 34, 68, 136
GCD of numbers is the greatest common divisor
So, the GCD (656, 464, 680, 136) = 8.
Given numbers are 656, 464, 680, 136
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 464 are 2 x 2 x 2 x 2 x 29
Prime factors of 680 are 2 x 2 x 2 x 5 x 17
Prime factors of 136 are 2 x 2 x 2 x 17
The highest common occurrence is 23
Therefore, GCD of 656, 464, 680, 136 is 8.
Given numbers are 656, 464, 680, 136
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(656, 464) = 19024
GCD(656, 464) = ( 656 x 464 ) / 19024
= 656 / 464
= 656
Step2:
LCM(16, 680) = 1360
GCD(16, 680) = ( 16 x 680 ) / 1360
= 16 / 680
= 16
Step3:
LCM(8, 136) = 136
GCD(8, 136) = ( 8 x 136 ) / 136
= 8 / 136
= 8
So, Greatest Common Divisor of 656, 464, 680, 136 is 8
Here are some samples of GCD of Numbers calculations.
Given numbers are 656, 464, 680, 136
The greatest common divisor of numbers 656, 464, 680, 136 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 656, 464, 680, 136 is 8.
1. What is the GCD of 656, 464, 680, 136?
GCD of given numbers 656, 464, 680, 136 is 8
2. How to calculate the greatest common divisor of 656, 464, 680, 136?
We can find the highest common divisor of 656, 464, 680, 136 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, 464, 680, 136 i.e 8.
3. How can I use the GCD of 656, 464, 680, 136Calculator?
Out the numbers 656, 464, 680, 136 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.