Online GCD Calculator is useful to find the GCD of 346, 122, 868, 704 quickly. Get the easiest ways to solve the greatest common divisor of 346, 122, 868, 704 i.e 2 in different methods as follows.
Given Input numbers are 346, 122, 868, 704
In the factoring method, we have to find the divisors of all numbers
Divisors of 346 :
The positive integer divisors of 346 that completely divides 346 are.
1, 2, 173, 346
Divisors of 122 :
The positive integer divisors of 122 that completely divides 122 are.
1, 2, 61, 122
Divisors of 868 :
The positive integer divisors of 868 that completely divides 868 are.
1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
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 (346, 122, 868, 704) = 2.
Given numbers are 346, 122, 868, 704
The list of prime factors of all numbers are
Prime factors of 346 are 2 x 173
Prime factors of 122 are 2 x 61
Prime factors of 868 are 2 x 2 x 7 x 31
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 346, 122, 868, 704 is 2.
Given numbers are 346, 122, 868, 704
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(346, 122) = 21106
GCD(346, 122) = ( 346 x 122 ) / 21106
= 346 / 122
= 346
Step2:
LCM(2, 868) = 868
GCD(2, 868) = ( 2 x 868 ) / 868
= 2 / 868
= 2
Step3:
LCM(2, 704) = 704
GCD(2, 704) = ( 2 x 704 ) / 704
= 2 / 704
= 2
So, Greatest Common Divisor of 346, 122, 868, 704 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 346, 122, 868, 704
The greatest common divisor of numbers 346, 122, 868, 704 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 346, 122, 868, 704 is 2.
1. What is the GCD of 346, 122, 868, 704?
GCD of given numbers 346, 122, 868, 704 is 2
2. How to calculate the greatest common divisor of 346, 122, 868, 704?
We can find the highest common divisor of 346, 122, 868, 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 346, 122, 868, 704 i.e 2.
3. How can I use the GCD of 346, 122, 868, 704Calculator?
Out the numbers 346, 122, 868, 704 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.