Online GCD Calculator is useful to find the GCD of 816, 376, 704, 736 quickly. Get the easiest ways to solve the greatest common divisor of 816, 376, 704, 736 i.e 8 in different methods as follows.
Given Input numbers are 816, 376, 704, 736
In the factoring method, we have to find the divisors of all numbers
Divisors of 816 :
The positive integer divisors of 816 that completely divides 816 are.
1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
Divisors of 376 :
The positive integer divisors of 376 that completely divides 376 are.
1, 2, 4, 8, 47, 94, 188, 376
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 736 :
The positive integer divisors of 736 that completely divides 736 are.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
GCD of numbers is the greatest common divisor
So, the GCD (816, 376, 704, 736) = 8.
Given numbers are 816, 376, 704, 736
The list of prime factors of all numbers are
Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17
Prime factors of 376 are 2 x 2 x 2 x 47
Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11
Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23
The highest common occurrence is 23
Therefore, GCD of 816, 376, 704, 736 is 8.
Given numbers are 816, 376, 704, 736
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(816, 376) = 38352
GCD(816, 376) = ( 816 x 376 ) / 38352
= 816 / 376
= 816
Step2:
LCM(8, 704) = 704
GCD(8, 704) = ( 8 x 704 ) / 704
= 8 / 704
= 8
Step3:
LCM(8, 736) = 736
GCD(8, 736) = ( 8 x 736 ) / 736
= 8 / 736
= 8
So, Greatest Common Divisor of 816, 376, 704, 736 is 8
Here are some samples of GCD of Numbers calculations.
Given numbers are 816, 376, 704, 736
The greatest common divisor of numbers 816, 376, 704, 736 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 816, 376, 704, 736 is 8.
1. What is the GCD of 816, 376, 704, 736?
GCD of given numbers 816, 376, 704, 736 is 8
2. How to calculate the greatest common divisor of 816, 376, 704, 736?
We can find the highest common divisor of 816, 376, 704, 736 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 816, 376, 704, 736 i.e 8.
3. How can I use the GCD of 816, 376, 704, 736Calculator?
Out the numbers 816, 376, 704, 736 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.