Online GCD Calculator is useful to find the GCD of 304, 542, 682, 704 quickly. Get the easiest ways to solve the greatest common divisor of 304, 542, 682, 704 i.e 2 in different methods as follows.
Given Input numbers are 304, 542, 682, 704
In the factoring method, we have to find the divisors of all numbers
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 542 :
The positive integer divisors of 542 that completely divides 542 are.
1, 2, 271, 542
Divisors of 682 :
The positive integer divisors of 682 that completely divides 682 are.
1, 2, 11, 22, 31, 62, 341, 682
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 (304, 542, 682, 704) = 2.
Given numbers are 304, 542, 682, 704
The list of prime factors of all numbers are
Prime factors of 304 are 2 x 2 x 2 x 2 x 19
Prime factors of 542 are 2 x 271
Prime factors of 682 are 2 x 11 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 304, 542, 682, 704 is 2.
Given numbers are 304, 542, 682, 704
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(304, 542) = 82384
GCD(304, 542) = ( 304 x 542 ) / 82384
= 304 / 542
= 304
Step2:
LCM(2, 682) = 682
GCD(2, 682) = ( 2 x 682 ) / 682
= 2 / 682
= 2
Step3:
LCM(2, 704) = 704
GCD(2, 704) = ( 2 x 704 ) / 704
= 2 / 704
= 2
So, Greatest Common Divisor of 304, 542, 682, 704 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 304, 542, 682, 704
The greatest common divisor of numbers 304, 542, 682, 704 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 304, 542, 682, 704 is 2.
1. What is the GCD of 304, 542, 682, 704?
GCD of given numbers 304, 542, 682, 704 is 2
2. How to calculate the greatest common divisor of 304, 542, 682, 704?
We can find the highest common divisor of 304, 542, 682, 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 304, 542, 682, 704 i.e 2.
3. How can I use the GCD of 304, 542, 682, 704Calculator?
Out the numbers 304, 542, 682, 704 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.