Online GCD Calculator is useful to find the GCD of 816, 786, 998, 160 quickly. Get the easiest ways to solve the greatest common divisor of 816, 786, 998, 160 i.e 2 in different methods as follows.
Given Input numbers are 816, 786, 998, 160
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 786 :
The positive integer divisors of 786 that completely divides 786 are.
1, 2, 3, 6, 131, 262, 393, 786
Divisors of 998 :
The positive integer divisors of 998 that completely divides 998 are.
1, 2, 499, 998
Divisors of 160 :
The positive integer divisors of 160 that completely divides 160 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
GCD of numbers is the greatest common divisor
So, the GCD (816, 786, 998, 160) = 2.
Given numbers are 816, 786, 998, 160
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 786 are 2 x 3 x 131
Prime factors of 998 are 2 x 499
Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5
The highest common occurrence is 21
Therefore, GCD of 816, 786, 998, 160 is 2.
Given numbers are 816, 786, 998, 160
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(816, 786) = 106896
GCD(816, 786) = ( 816 x 786 ) / 106896
= 816 / 786
= 816
Step2:
LCM(6, 998) = 2994
GCD(6, 998) = ( 6 x 998 ) / 2994
= 6 / 998
= 6
Step3:
LCM(2, 160) = 160
GCD(2, 160) = ( 2 x 160 ) / 160
= 2 / 160
= 2
So, Greatest Common Divisor of 816, 786, 998, 160 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 816, 786, 998, 160
The greatest common divisor of numbers 816, 786, 998, 160 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 816, 786, 998, 160 is 2.
1. What is the GCD of 816, 786, 998, 160?
GCD of given numbers 816, 786, 998, 160 is 2
2. How to calculate the greatest common divisor of 816, 786, 998, 160?
We can find the highest common divisor of 816, 786, 998, 160 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, 786, 998, 160 i.e 2.
3. How can I use the GCD of 816, 786, 998, 160Calculator?
Out the numbers 816, 786, 998, 160 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.