Online GCD Calculator is useful to find the GCD of 832, 612, 296, 682 quickly. Get the easiest ways to solve the greatest common divisor of 832, 612, 296, 682 i.e 2 in different methods as follows.
Given Input numbers are 832, 612, 296, 682
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 612 :
The positive integer divisors of 612 that completely divides 612 are.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
Divisors of 296 :
The positive integer divisors of 296 that completely divides 296 are.
1, 2, 4, 8, 37, 74, 148, 296
Divisors of 682 :
The positive integer divisors of 682 that completely divides 682 are.
1, 2, 11, 22, 31, 62, 341, 682
GCD of numbers is the greatest common divisor
So, the GCD (832, 612, 296, 682) = 2.
Given numbers are 832, 612, 296, 682
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 612 are 2 x 2 x 3 x 3 x 17
Prime factors of 296 are 2 x 2 x 2 x 37
Prime factors of 682 are 2 x 11 x 31
The highest common occurrence is 21
Therefore, GCD of 832, 612, 296, 682 is 2.
Given numbers are 832, 612, 296, 682
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(832, 612) = 127296
GCD(832, 612) = ( 832 x 612 ) / 127296
= 832 / 612
= 832
Step2:
LCM(4, 296) = 296
GCD(4, 296) = ( 4 x 296 ) / 296
= 4 / 296
= 4
Step3:
LCM(4, 682) = 1364
GCD(4, 682) = ( 4 x 682 ) / 1364
= 4 / 682
= 4
So, Greatest Common Divisor of 832, 612, 296, 682 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 832, 612, 296, 682
The greatest common divisor of numbers 832, 612, 296, 682 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 832, 612, 296, 682 is 2.
1. What is the GCD of 832, 612, 296, 682?
GCD of given numbers 832, 612, 296, 682 is 2
2. How to calculate the greatest common divisor of 832, 612, 296, 682?
We can find the highest common divisor of 832, 612, 296, 682 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, 612, 296, 682 i.e 2.
3. How can I use the GCD of 832, 612, 296, 682Calculator?
Out the numbers 832, 612, 296, 682 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.