Online GCD Calculator is useful to find the GCD of 680, 456, 968 quickly. Get the easiest ways to solve the greatest common divisor of 680, 456, 968 i.e 8 in different methods as follows.
Given Input numbers are 680, 456, 968
In the factoring method, we have to find the divisors of all numbers
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 456 :
The positive integer divisors of 456 that completely divides 456 are.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
Divisors of 968 :
The positive integer divisors of 968 that completely divides 968 are.
1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
GCD of numbers is the greatest common divisor
So, the GCD (680, 456, 968) = 8.
Given numbers are 680, 456, 968
The list of prime factors of all numbers are
Prime factors of 680 are 2 x 2 x 2 x 5 x 17
Prime factors of 456 are 2 x 2 x 2 x 3 x 19
Prime factors of 968 are 2 x 2 x 2 x 11 x 11
The highest common occurrence is 23
Therefore, GCD of 680, 456, 968 is 8.
Given numbers are 680, 456, 968
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(680, 456) = 38760
GCD(680, 456) = ( 680 x 456 ) / 38760
= 680 / 456
= 680
Step2:
LCM(8, 968) = 968
GCD(8, 968) = ( 8 x 968 ) / 968
= 8 / 968
= 8
So, Greatest Common Divisor of 680, 456, 968 is 8
Here are some samples of GCD of Numbers calculations.
Given numbers are 680, 456, 968
The greatest common divisor of numbers 680, 456, 968 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 456, 968 is 8.
1. What is the GCD of 680, 456, 968?
GCD of given numbers 680, 456, 968 is 8
2. How to calculate the greatest common divisor of 680, 456, 968?
We can find the highest common divisor of 680, 456, 968 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 680, 456, 968 i.e 8.
3. How can I use the GCD of 680, 456, 968Calculator?
Out the numbers 680, 456, 968 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.