Online GCD Calculator is useful to find the GCD of 704, 162, 536, 298 quickly. Get the easiest ways to solve the greatest common divisor of 704, 162, 536, 298 i.e 2 in different methods as follows.
Given Input numbers are 704, 162, 536, 298
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 162 :
The positive integer divisors of 162 that completely divides 162 are.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
Divisors of 536 :
The positive integer divisors of 536 that completely divides 536 are.
1, 2, 4, 8, 67, 134, 268, 536
Divisors of 298 :
The positive integer divisors of 298 that completely divides 298 are.
1, 2, 149, 298
GCD of numbers is the greatest common divisor
So, the GCD (704, 162, 536, 298) = 2.
Given numbers are 704, 162, 536, 298
The list of prime factors of all numbers are
Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11
Prime factors of 162 are 2 x 3 x 3 x 3 x 3
Prime factors of 536 are 2 x 2 x 2 x 67
Prime factors of 298 are 2 x 149
The highest common occurrence is 21
Therefore, GCD of 704, 162, 536, 298 is 2.
Given numbers are 704, 162, 536, 298
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(704, 162) = 57024
GCD(704, 162) = ( 704 x 162 ) / 57024
= 704 / 162
= 704
Step2:
LCM(2, 536) = 536
GCD(2, 536) = ( 2 x 536 ) / 536
= 2 / 536
= 2
Step3:
LCM(2, 298) = 298
GCD(2, 298) = ( 2 x 298 ) / 298
= 2 / 298
= 2
So, Greatest Common Divisor of 704, 162, 536, 298 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 704, 162, 536, 298
The greatest common divisor of numbers 704, 162, 536, 298 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 162, 536, 298 is 2.
1. What is the GCD of 704, 162, 536, 298?
GCD of given numbers 704, 162, 536, 298 is 2
2. How to calculate the greatest common divisor of 704, 162, 536, 298?
We can find the highest common divisor of 704, 162, 536, 298 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 704, 162, 536, 298 i.e 2.
3. How can I use the GCD of 704, 162, 536, 298Calculator?
Out the numbers 704, 162, 536, 298 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.