Online GCD Calculator is useful to find the GCD of 696, 694, 214, 368 quickly. Get the easiest ways to solve the greatest common divisor of 696, 694, 214, 368 i.e 2 in different methods as follows.
Given Input numbers are 696, 694, 214, 368
In the factoring method, we have to find the divisors of all numbers
Divisors of 696 :
The positive integer divisors of 696 that completely divides 696 are.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Divisors of 694 :
The positive integer divisors of 694 that completely divides 694 are.
1, 2, 347, 694
Divisors of 214 :
The positive integer divisors of 214 that completely divides 214 are.
1, 2, 107, 214
Divisors of 368 :
The positive integer divisors of 368 that completely divides 368 are.
1, 2, 4, 8, 16, 23, 46, 92, 184, 368
GCD of numbers is the greatest common divisor
So, the GCD (696, 694, 214, 368) = 2.
Given numbers are 696, 694, 214, 368
The list of prime factors of all numbers are
Prime factors of 696 are 2 x 2 x 2 x 3 x 29
Prime factors of 694 are 2 x 347
Prime factors of 214 are 2 x 107
Prime factors of 368 are 2 x 2 x 2 x 2 x 23
The highest common occurrence is 21
Therefore, GCD of 696, 694, 214, 368 is 2.
Given numbers are 696, 694, 214, 368
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(696, 694) = 241512
GCD(696, 694) = ( 696 x 694 ) / 241512
= 696 / 694
= 696
Step2:
LCM(2, 214) = 214
GCD(2, 214) = ( 2 x 214 ) / 214
= 2 / 214
= 2
Step3:
LCM(2, 368) = 368
GCD(2, 368) = ( 2 x 368 ) / 368
= 2 / 368
= 2
So, Greatest Common Divisor of 696, 694, 214, 368 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 696, 694, 214, 368
The greatest common divisor of numbers 696, 694, 214, 368 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 696, 694, 214, 368 is 2.
1. What is the GCD of 696, 694, 214, 368?
GCD of given numbers 696, 694, 214, 368 is 2
2. How to calculate the greatest common divisor of 696, 694, 214, 368?
We can find the highest common divisor of 696, 694, 214, 368 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 696, 694, 214, 368 i.e 2.
3. How can I use the GCD of 696, 694, 214, 368Calculator?
Out the numbers 696, 694, 214, 368 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.