Online GCD Calculator is useful to find the GCD of 536, 344, 304, 694 quickly. Get the easiest ways to solve the greatest common divisor of 536, 344, 304, 694 i.e 2 in different methods as follows.
Given Input numbers are 536, 344, 304, 694
In the factoring method, we have to find the divisors of all numbers
Divisors of 536 :
The positive integer divisors of 536 that completely divides 536 are.
1, 2, 4, 8, 67, 134, 268, 536
Divisors of 344 :
The positive integer divisors of 344 that completely divides 344 are.
1, 2, 4, 8, 43, 86, 172, 344
Divisors of 304 :
The positive integer divisors of 304 that completely divides 304 are.
1, 2, 4, 8, 16, 19, 38, 76, 152, 304
Divisors of 694 :
The positive integer divisors of 694 that completely divides 694 are.
1, 2, 347, 694
GCD of numbers is the greatest common divisor
So, the GCD (536, 344, 304, 694) = 2.
Given numbers are 536, 344, 304, 694
The list of prime factors of all numbers are
Prime factors of 536 are 2 x 2 x 2 x 67
Prime factors of 344 are 2 x 2 x 2 x 43
Prime factors of 304 are 2 x 2 x 2 x 2 x 19
Prime factors of 694 are 2 x 347
The highest common occurrence is 21
Therefore, GCD of 536, 344, 304, 694 is 2.
Given numbers are 536, 344, 304, 694
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(536, 344) = 23048
GCD(536, 344) = ( 536 x 344 ) / 23048
= 536 / 344
= 536
Step2:
LCM(8, 304) = 304
GCD(8, 304) = ( 8 x 304 ) / 304
= 8 / 304
= 8
Step3:
LCM(8, 694) = 2776
GCD(8, 694) = ( 8 x 694 ) / 2776
= 8 / 694
= 8
So, Greatest Common Divisor of 536, 344, 304, 694 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 536, 344, 304, 694
The greatest common divisor of numbers 536, 344, 304, 694 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 536, 344, 304, 694 is 2.
1. What is the GCD of 536, 344, 304, 694?
GCD of given numbers 536, 344, 304, 694 is 2
2. How to calculate the greatest common divisor of 536, 344, 304, 694?
We can find the highest common divisor of 536, 344, 304, 694 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 536, 344, 304, 694 i.e 2.
3. How can I use the GCD of 536, 344, 304, 694Calculator?
Out the numbers 536, 344, 304, 694 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.