Online GCD Calculator is useful to find the GCD of 768, 134, 492, 996 quickly. Get the easiest ways to solve the greatest common divisor of 768, 134, 492, 996 i.e 2 in different methods as follows.
Given Input numbers are 768, 134, 492, 996
In the factoring method, we have to find the divisors of all numbers
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 134 :
The positive integer divisors of 134 that completely divides 134 are.
1, 2, 67, 134
Divisors of 492 :
The positive integer divisors of 492 that completely divides 492 are.
1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
Divisors of 996 :
The positive integer divisors of 996 that completely divides 996 are.
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
GCD of numbers is the greatest common divisor
So, the GCD (768, 134, 492, 996) = 2.
Given numbers are 768, 134, 492, 996
The list of prime factors of all numbers are
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 134 are 2 x 67
Prime factors of 492 are 2 x 2 x 3 x 41
Prime factors of 996 are 2 x 2 x 3 x 83
The highest common occurrence is 21
Therefore, GCD of 768, 134, 492, 996 is 2.
Given numbers are 768, 134, 492, 996
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(768, 134) = 51456
GCD(768, 134) = ( 768 x 134 ) / 51456
= 768 / 134
= 768
Step2:
LCM(2, 492) = 492
GCD(2, 492) = ( 2 x 492 ) / 492
= 2 / 492
= 2
Step3:
LCM(2, 996) = 996
GCD(2, 996) = ( 2 x 996 ) / 996
= 2 / 996
= 2
So, Greatest Common Divisor of 768, 134, 492, 996 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 768, 134, 492, 996
The greatest common divisor of numbers 768, 134, 492, 996 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 768, 134, 492, 996 is 2.
1. What is the GCD of 768, 134, 492, 996?
GCD of given numbers 768, 134, 492, 996 is 2
2. How to calculate the greatest common divisor of 768, 134, 492, 996?
We can find the highest common divisor of 768, 134, 492, 996 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 768, 134, 492, 996 i.e 2.
3. How can I use the GCD of 768, 134, 492, 996Calculator?
Out the numbers 768, 134, 492, 996 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.