Online GCD Calculator is useful to find the GCD of 168, 854, 196, 704 quickly. Get the easiest ways to solve the greatest common divisor of 168, 854, 196, 704 i.e 2 in different methods as follows.
Given Input numbers are 168, 854, 196, 704
In the factoring method, we have to find the divisors of all numbers
Divisors of 168 :
The positive integer divisors of 168 that completely divides 168 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Divisors of 854 :
The positive integer divisors of 854 that completely divides 854 are.
1, 2, 7, 14, 61, 122, 427, 854
Divisors of 196 :
The positive integer divisors of 196 that completely divides 196 are.
1, 2, 4, 7, 14, 28, 49, 98, 196
Divisors of 704 :
The positive integer divisors of 704 that completely divides 704 are.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
GCD of numbers is the greatest common divisor
So, the GCD (168, 854, 196, 704) = 2.
Given numbers are 168, 854, 196, 704
The list of prime factors of all numbers are
Prime factors of 168 are 2 x 2 x 2 x 3 x 7
Prime factors of 854 are 2 x 7 x 61
Prime factors of 196 are 2 x 2 x 7 x 7
Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11
The highest common occurrence is 21
Therefore, GCD of 168, 854, 196, 704 is 2.
Given numbers are 168, 854, 196, 704
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(168, 854) = 10248
GCD(168, 854) = ( 168 x 854 ) / 10248
= 168 / 854
= 168
Step2:
LCM(14, 196) = 196
GCD(14, 196) = ( 14 x 196 ) / 196
= 14 / 196
= 14
Step3:
LCM(14, 704) = 4928
GCD(14, 704) = ( 14 x 704 ) / 4928
= 14 / 704
= 14
So, Greatest Common Divisor of 168, 854, 196, 704 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 168, 854, 196, 704
The greatest common divisor of numbers 168, 854, 196, 704 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 168, 854, 196, 704 is 2.
1. What is the GCD of 168, 854, 196, 704?
GCD of given numbers 168, 854, 196, 704 is 2
2. How to calculate the greatest common divisor of 168, 854, 196, 704?
We can find the highest common divisor of 168, 854, 196, 704 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 168, 854, 196, 704 i.e 2.
3. How can I use the GCD of 168, 854, 196, 704Calculator?
Out the numbers 168, 854, 196, 704 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.