Online GCD Calculator is useful to find the GCD of 696, 816, 344, 520 quickly. Get the easiest ways to solve the greatest common divisor of 696, 816, 344, 520 i.e 8 in different methods as follows.
Given Input numbers are 696, 816, 344, 520
In the factoring method, we have to find the divisors of all numbers
Divisors of 696 :
The positive integer divisors of 696 that completely divides 696 are.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
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 344 :
The positive integer divisors of 344 that completely divides 344 are.
1, 2, 4, 8, 43, 86, 172, 344
Divisors of 520 :
The positive integer divisors of 520 that completely divides 520 are.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
GCD of numbers is the greatest common divisor
So, the GCD (696, 816, 344, 520) = 8.
Given numbers are 696, 816, 344, 520
The list of prime factors of all numbers are
Prime factors of 696 are 2 x 2 x 2 x 3 x 29
Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17
Prime factors of 344 are 2 x 2 x 2 x 43
Prime factors of 520 are 2 x 2 x 2 x 5 x 13
The highest common occurrence is 23
Therefore, GCD of 696, 816, 344, 520 is 8.
Given numbers are 696, 816, 344, 520
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(696, 816) = 23664
GCD(696, 816) = ( 696 x 816 ) / 23664
= 696 / 816
= 696
Step2:
LCM(24, 344) = 1032
GCD(24, 344) = ( 24 x 344 ) / 1032
= 24 / 344
= 24
Step3:
LCM(8, 520) = 520
GCD(8, 520) = ( 8 x 520 ) / 520
= 8 / 520
= 8
So, Greatest Common Divisor of 696, 816, 344, 520 is 8
Here are some samples of GCD of Numbers calculations.
Given numbers are 696, 816, 344, 520
The greatest common divisor of numbers 696, 816, 344, 520 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 696, 816, 344, 520 is 8.
1. What is the GCD of 696, 816, 344, 520?
GCD of given numbers 696, 816, 344, 520 is 8
2. How to calculate the greatest common divisor of 696, 816, 344, 520?
We can find the highest common divisor of 696, 816, 344, 520 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 696, 816, 344, 520 i.e 8.
3. How can I use the GCD of 696, 816, 344, 520Calculator?
Out the numbers 696, 816, 344, 520 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.