Online GCD Calculator is useful to find the GCD of 816, 658, 792, 976 quickly. Get the easiest ways to solve the greatest common divisor of 816, 658, 792, 976 i.e 2 in different methods as follows.
Given Input numbers are 816, 658, 792, 976
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 658 :
The positive integer divisors of 658 that completely divides 658 are.
1, 2, 7, 14, 47, 94, 329, 658
Divisors of 792 :
The positive integer divisors of 792 that completely divides 792 are.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
Divisors of 976 :
The positive integer divisors of 976 that completely divides 976 are.
1, 2, 4, 8, 16, 61, 122, 244, 488, 976
GCD of numbers is the greatest common divisor
So, the GCD (816, 658, 792, 976) = 2.
Given numbers are 816, 658, 792, 976
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 658 are 2 x 7 x 47
Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11
Prime factors of 976 are 2 x 2 x 2 x 2 x 61
The highest common occurrence is 21
Therefore, GCD of 816, 658, 792, 976 is 2.
Given numbers are 816, 658, 792, 976
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(816, 658) = 268464
GCD(816, 658) = ( 816 x 658 ) / 268464
= 816 / 658
= 816
Step2:
LCM(2, 792) = 792
GCD(2, 792) = ( 2 x 792 ) / 792
= 2 / 792
= 2
Step3:
LCM(2, 976) = 976
GCD(2, 976) = ( 2 x 976 ) / 976
= 2 / 976
= 2
So, Greatest Common Divisor of 816, 658, 792, 976 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 816, 658, 792, 976
The greatest common divisor of numbers 816, 658, 792, 976 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 816, 658, 792, 976 is 2.
1. What is the GCD of 816, 658, 792, 976?
GCD of given numbers 816, 658, 792, 976 is 2
2. How to calculate the greatest common divisor of 816, 658, 792, 976?
We can find the highest common divisor of 816, 658, 792, 976 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, 658, 792, 976 i.e 2.
3. How can I use the GCD of 816, 658, 792, 976Calculator?
Out the numbers 816, 658, 792, 976 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.