Online GCD Calculator is useful to find the GCD of 816, 768, 126, 876 quickly. Get the easiest ways to solve the greatest common divisor of 816, 768, 126, 876 i.e 6 in different methods as follows.
Given Input numbers are 816, 768, 126, 876
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 768 :
The positive integer divisors of 768 that completely divides 768 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
Divisors of 126 :
The positive integer divisors of 126 that completely divides 126 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Divisors of 876 :
The positive integer divisors of 876 that completely divides 876 are.
1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
GCD of numbers is the greatest common divisor
So, the GCD (816, 768, 126, 876) = 6.
Given numbers are 816, 768, 126, 876
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 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 126 are 2 x 3 x 3 x 7
Prime factors of 876 are 2 x 2 x 3 x 73
The highest common occurrence is 21 x 31
Therefore, GCD of 816, 768, 126, 876 is 6.
Given numbers are 816, 768, 126, 876
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(816, 768) = 13056
GCD(816, 768) = ( 816 x 768 ) / 13056
= 816 / 768
= 816
Step2:
LCM(48, 126) = 1008
GCD(48, 126) = ( 48 x 126 ) / 1008
= 48 / 126
= 48
Step3:
LCM(6, 876) = 876
GCD(6, 876) = ( 6 x 876 ) / 876
= 6 / 876
= 6
So, Greatest Common Divisor of 816, 768, 126, 876 is 6
Here are some samples of GCD of Numbers calculations.
Given numbers are 816, 768, 126, 876
The greatest common divisor of numbers 816, 768, 126, 876 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 816, 768, 126, 876 is 6.
1. What is the GCD of 816, 768, 126, 876?
GCD of given numbers 816, 768, 126, 876 is 6
2. How to calculate the greatest common divisor of 816, 768, 126, 876?
We can find the highest common divisor of 816, 768, 126, 876 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, 768, 126, 876 i.e 6.
3. How can I use the GCD of 816, 768, 126, 876Calculator?
Out the numbers 816, 768, 126, 876 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.