Online GCD Calculator is useful to find the GCD of 704, 476, 788, 302 quickly. Get the easiest ways to solve the greatest common divisor of 704, 476, 788, 302 i.e 2 in different methods as follows.
Given Input numbers are 704, 476, 788, 302
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 476 :
The positive integer divisors of 476 that completely divides 476 are.
1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
Divisors of 788 :
The positive integer divisors of 788 that completely divides 788 are.
1, 2, 4, 197, 394, 788
Divisors of 302 :
The positive integer divisors of 302 that completely divides 302 are.
1, 2, 151, 302
GCD of numbers is the greatest common divisor
So, the GCD (704, 476, 788, 302) = 2.
Given numbers are 704, 476, 788, 302
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 476 are 2 x 2 x 7 x 17
Prime factors of 788 are 2 x 2 x 197
Prime factors of 302 are 2 x 151
The highest common occurrence is 21
Therefore, GCD of 704, 476, 788, 302 is 2.
Given numbers are 704, 476, 788, 302
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(704, 476) = 83776
GCD(704, 476) = ( 704 x 476 ) / 83776
= 704 / 476
= 704
Step2:
LCM(4, 788) = 788
GCD(4, 788) = ( 4 x 788 ) / 788
= 4 / 788
= 4
Step3:
LCM(4, 302) = 604
GCD(4, 302) = ( 4 x 302 ) / 604
= 4 / 302
= 4
So, Greatest Common Divisor of 704, 476, 788, 302 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 704, 476, 788, 302
The greatest common divisor of numbers 704, 476, 788, 302 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 476, 788, 302 is 2.
1. What is the GCD of 704, 476, 788, 302?
GCD of given numbers 704, 476, 788, 302 is 2
2. How to calculate the greatest common divisor of 704, 476, 788, 302?
We can find the highest common divisor of 704, 476, 788, 302 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, 476, 788, 302 i.e 2.
3. How can I use the GCD of 704, 476, 788, 302Calculator?
Out the numbers 704, 476, 788, 302 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.