Online GCD Calculator is useful to find the GCD of 832, 896, 680 quickly. Get the easiest ways to solve the greatest common divisor of 832, 896, 680 i.e 8 in different methods as follows.
Given Input numbers are 832, 896, 680
In the factoring method, we have to find the divisors of all numbers
Divisors of 832 :
The positive integer divisors of 832 that completely divides 832 are.
1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
Divisors of 896 :
The positive integer divisors of 896 that completely divides 896 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
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
GCD of numbers is the greatest common divisor
So, the GCD (832, 896, 680) = 8.
Given numbers are 832, 896, 680
The list of prime factors of all numbers are
Prime factors of 832 are 2 x 2 x 2 x 2 x 2 x 2 x 13
Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 680 are 2 x 2 x 2 x 5 x 17
The highest common occurrence is 23
Therefore, GCD of 832, 896, 680 is 8.
Given numbers are 832, 896, 680
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(832, 896) = 11648
GCD(832, 896) = ( 832 x 896 ) / 11648
= 832 / 896
= 832
Step2:
LCM(64, 680) = 5440
GCD(64, 680) = ( 64 x 680 ) / 5440
= 64 / 680
= 64
So, Greatest Common Divisor of 832, 896, 680 is 8
Here are some samples of GCD of Numbers calculations.
Given numbers are 832, 896, 680
The greatest common divisor of numbers 832, 896, 680 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 832, 896, 680 is 8.
1. What is the GCD of 832, 896, 680?
GCD of given numbers 832, 896, 680 is 8
2. How to calculate the greatest common divisor of 832, 896, 680?
We can find the highest common divisor of 832, 896, 680 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 832, 896, 680 i.e 8.
3. How can I use the GCD of 832, 896, 680Calculator?
Out the numbers 832, 896, 680 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.