Online GCD Calculator is useful to find the GCD of 296, 704, 732, 894 quickly. Get the easiest ways to solve the greatest common divisor of 296, 704, 732, 894 i.e 2 in different methods as follows.
Given Input numbers are 296, 704, 732, 894
In the factoring method, we have to find the divisors of all numbers
Divisors of 296 :
The positive integer divisors of 296 that completely divides 296 are.
1, 2, 4, 8, 37, 74, 148, 296
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 732 :
The positive integer divisors of 732 that completely divides 732 are.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Divisors of 894 :
The positive integer divisors of 894 that completely divides 894 are.
1, 2, 3, 6, 149, 298, 447, 894
GCD of numbers is the greatest common divisor
So, the GCD (296, 704, 732, 894) = 2.
Given numbers are 296, 704, 732, 894
The list of prime factors of all numbers are
Prime factors of 296 are 2 x 2 x 2 x 37
Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11
Prime factors of 732 are 2 x 2 x 3 x 61
Prime factors of 894 are 2 x 3 x 149
The highest common occurrence is 21
Therefore, GCD of 296, 704, 732, 894 is 2.
Given numbers are 296, 704, 732, 894
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(296, 704) = 26048
GCD(296, 704) = ( 296 x 704 ) / 26048
= 296 / 704
= 296
Step2:
LCM(8, 732) = 1464
GCD(8, 732) = ( 8 x 732 ) / 1464
= 8 / 732
= 8
Step3:
LCM(4, 894) = 1788
GCD(4, 894) = ( 4 x 894 ) / 1788
= 4 / 894
= 4
So, Greatest Common Divisor of 296, 704, 732, 894 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 296, 704, 732, 894
The greatest common divisor of numbers 296, 704, 732, 894 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 296, 704, 732, 894 is 2.
1. What is the GCD of 296, 704, 732, 894?
GCD of given numbers 296, 704, 732, 894 is 2
2. How to calculate the greatest common divisor of 296, 704, 732, 894?
We can find the highest common divisor of 296, 704, 732, 894 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 296, 704, 732, 894 i.e 2.
3. How can I use the GCD of 296, 704, 732, 894Calculator?
Out the numbers 296, 704, 732, 894 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.