Online GCD Calculator is useful to find the GCD of 516, 264, 687, 849 quickly. Get the easiest ways to solve the greatest common divisor of 516, 264, 687, 849 i.e 3 in different methods as follows.
Given Input numbers are 516, 264, 687, 849
In the factoring method, we have to find the divisors of all numbers
Divisors of 516 :
The positive integer divisors of 516 that completely divides 516 are.
1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
Divisors of 264 :
The positive integer divisors of 264 that completely divides 264 are.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
Divisors of 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
Divisors of 849 :
The positive integer divisors of 849 that completely divides 849 are.
1, 3, 283, 849
GCD of numbers is the greatest common divisor
So, the GCD (516, 264, 687, 849) = 3.
Given numbers are 516, 264, 687, 849
The list of prime factors of all numbers are
Prime factors of 516 are 2 x 2 x 3 x 43
Prime factors of 264 are 2 x 2 x 2 x 3 x 11
Prime factors of 687 are 3 x 229
Prime factors of 849 are 3 x 283
The highest common occurrence is 31
Therefore, GCD of 516, 264, 687, 849 is 3.
Given numbers are 516, 264, 687, 849
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(516, 264) = 11352
GCD(516, 264) = ( 516 x 264 ) / 11352
= 516 / 264
= 516
Step2:
LCM(12, 687) = 2748
GCD(12, 687) = ( 12 x 687 ) / 2748
= 12 / 687
= 12
Step3:
LCM(3, 849) = 849
GCD(3, 849) = ( 3 x 849 ) / 849
= 3 / 849
= 3
So, Greatest Common Divisor of 516, 264, 687, 849 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 516, 264, 687, 849
The greatest common divisor of numbers 516, 264, 687, 849 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 516, 264, 687, 849 is 3.
1. What is the GCD of 516, 264, 687, 849?
GCD of given numbers 516, 264, 687, 849 is 3
2. How to calculate the greatest common divisor of 516, 264, 687, 849?
We can find the highest common divisor of 516, 264, 687, 849 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 516, 264, 687, 849 i.e 3.
3. How can I use the GCD of 516, 264, 687, 849Calculator?
Out the numbers 516, 264, 687, 849 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.