Online GCD Calculator is useful to find the GCD of 992, 138, 716, 816 quickly. Get the easiest ways to solve the greatest common divisor of 992, 138, 716, 816 i.e 2 in different methods as follows.
Given Input numbers are 992, 138, 716, 816
In the factoring method, we have to find the divisors of all numbers
Divisors of 992 :
The positive integer divisors of 992 that completely divides 992 are.
1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 716 :
The positive integer divisors of 716 that completely divides 716 are.
1, 2, 4, 179, 358, 716
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
GCD of numbers is the greatest common divisor
So, the GCD (992, 138, 716, 816) = 2.
Given numbers are 992, 138, 716, 816
The list of prime factors of all numbers are
Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31
Prime factors of 138 are 2 x 3 x 23
Prime factors of 716 are 2 x 2 x 179
Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17
The highest common occurrence is 21
Therefore, GCD of 992, 138, 716, 816 is 2.
Given numbers are 992, 138, 716, 816
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(992, 138) = 68448
GCD(992, 138) = ( 992 x 138 ) / 68448
= 992 / 138
= 992
Step2:
LCM(2, 716) = 716
GCD(2, 716) = ( 2 x 716 ) / 716
= 2 / 716
= 2
Step3:
LCM(2, 816) = 816
GCD(2, 816) = ( 2 x 816 ) / 816
= 2 / 816
= 2
So, Greatest Common Divisor of 992, 138, 716, 816 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 992, 138, 716, 816
The greatest common divisor of numbers 992, 138, 716, 816 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 992, 138, 716, 816 is 2.
1. What is the GCD of 992, 138, 716, 816?
GCD of given numbers 992, 138, 716, 816 is 2
2. How to calculate the greatest common divisor of 992, 138, 716, 816?
We can find the highest common divisor of 992, 138, 716, 816 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 992, 138, 716, 816 i.e 2.
3. How can I use the GCD of 992, 138, 716, 816Calculator?
Out the numbers 992, 138, 716, 816 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.