Online GCD Calculator is useful to find the GCD of 816, 687, 843, 675 quickly. Get the easiest ways to solve the greatest common divisor of 816, 687, 843, 675 i.e 3 in different methods as follows.
Given Input numbers are 816, 687, 843, 675
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 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
Divisors of 843 :
The positive integer divisors of 843 that completely divides 843 are.
1, 3, 281, 843
Divisors of 675 :
The positive integer divisors of 675 that completely divides 675 are.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
GCD of numbers is the greatest common divisor
So, the GCD (816, 687, 843, 675) = 3.
Given numbers are 816, 687, 843, 675
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 687 are 3 x 229
Prime factors of 843 are 3 x 281
Prime factors of 675 are 3 x 3 x 3 x 5 x 5
The highest common occurrence is 31
Therefore, GCD of 816, 687, 843, 675 is 3.
Given numbers are 816, 687, 843, 675
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(816, 687) = 186864
GCD(816, 687) = ( 816 x 687 ) / 186864
= 816 / 687
= 816
Step2:
LCM(3, 843) = 843
GCD(3, 843) = ( 3 x 843 ) / 843
= 3 / 843
= 3
Step3:
LCM(3, 675) = 675
GCD(3, 675) = ( 3 x 675 ) / 675
= 3 / 675
= 3
So, Greatest Common Divisor of 816, 687, 843, 675 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 816, 687, 843, 675
The greatest common divisor of numbers 816, 687, 843, 675 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 816, 687, 843, 675 is 3.
1. What is the GCD of 816, 687, 843, 675?
GCD of given numbers 816, 687, 843, 675 is 3
2. How to calculate the greatest common divisor of 816, 687, 843, 675?
We can find the highest common divisor of 816, 687, 843, 675 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, 687, 843, 675 i.e 3.
3. How can I use the GCD of 816, 687, 843, 675Calculator?
Out the numbers 816, 687, 843, 675 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.