Online GCD Calculator is useful to find the GCD of 992, 744, 128, 916 quickly. Get the easiest ways to solve the greatest common divisor of 992, 744, 128, 916 i.e 4 in different methods as follows.
Given Input numbers are 992, 744, 128, 916
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 744 :
The positive integer divisors of 744 that completely divides 744 are.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
Divisors of 128 :
The positive integer divisors of 128 that completely divides 128 are.
1, 2, 4, 8, 16, 32, 64, 128
Divisors of 916 :
The positive integer divisors of 916 that completely divides 916 are.
1, 2, 4, 229, 458, 916
GCD of numbers is the greatest common divisor
So, the GCD (992, 744, 128, 916) = 4.
Given numbers are 992, 744, 128, 916
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 744 are 2 x 2 x 2 x 3 x 31
Prime factors of 128 are 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime factors of 916 are 2 x 2 x 229
The highest common occurrence is 22
Therefore, GCD of 992, 744, 128, 916 is 4.
Given numbers are 992, 744, 128, 916
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(992, 744) = 2976
GCD(992, 744) = ( 992 x 744 ) / 2976
= 992 / 744
= 992
Step2:
LCM(248, 128) = 3968
GCD(248, 128) = ( 248 x 128 ) / 3968
= 248 / 128
= 248
Step3:
LCM(8, 916) = 1832
GCD(8, 916) = ( 8 x 916 ) / 1832
= 8 / 916
= 8
So, Greatest Common Divisor of 992, 744, 128, 916 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 992, 744, 128, 916
The greatest common divisor of numbers 992, 744, 128, 916 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 992, 744, 128, 916 is 4.
1. What is the GCD of 992, 744, 128, 916?
GCD of given numbers 992, 744, 128, 916 is 4
2. How to calculate the greatest common divisor of 992, 744, 128, 916?
We can find the highest common divisor of 992, 744, 128, 916 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, 744, 128, 916 i.e 4.
3. How can I use the GCD of 992, 744, 128, 916Calculator?
Out the numbers 992, 744, 128, 916 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.