Online GCD Calculator is useful to find the GCD of 894, 832, 132, 686 quickly. Get the easiest ways to solve the greatest common divisor of 894, 832, 132, 686 i.e 2 in different methods as follows.
Given Input numbers are 894, 832, 132, 686
In the factoring method, we have to find the divisors of all numbers
Divisors of 894 :
The positive integer divisors of 894 that completely divides 894 are.
1, 2, 3, 6, 149, 298, 447, 894
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 132 :
The positive integer divisors of 132 that completely divides 132 are.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
Divisors of 686 :
The positive integer divisors of 686 that completely divides 686 are.
1, 2, 7, 14, 49, 98, 343, 686
GCD of numbers is the greatest common divisor
So, the GCD (894, 832, 132, 686) = 2.
Given numbers are 894, 832, 132, 686
The list of prime factors of all numbers are
Prime factors of 894 are 2 x 3 x 149
Prime factors of 832 are 2 x 2 x 2 x 2 x 2 x 2 x 13
Prime factors of 132 are 2 x 2 x 3 x 11
Prime factors of 686 are 2 x 7 x 7 x 7
The highest common occurrence is 21
Therefore, GCD of 894, 832, 132, 686 is 2.
Given numbers are 894, 832, 132, 686
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(894, 832) = 371904
GCD(894, 832) = ( 894 x 832 ) / 371904
= 894 / 832
= 894
Step2:
LCM(2, 132) = 132
GCD(2, 132) = ( 2 x 132 ) / 132
= 2 / 132
= 2
Step3:
LCM(2, 686) = 686
GCD(2, 686) = ( 2 x 686 ) / 686
= 2 / 686
= 2
So, Greatest Common Divisor of 894, 832, 132, 686 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 894, 832, 132, 686
The greatest common divisor of numbers 894, 832, 132, 686 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 894, 832, 132, 686 is 2.
1. What is the GCD of 894, 832, 132, 686?
GCD of given numbers 894, 832, 132, 686 is 2
2. How to calculate the greatest common divisor of 894, 832, 132, 686?
We can find the highest common divisor of 894, 832, 132, 686 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 894, 832, 132, 686 i.e 2.
3. How can I use the GCD of 894, 832, 132, 686Calculator?
Out the numbers 894, 832, 132, 686 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.