Online GCD Calculator is useful to find the GCD of 744, 136, 968 quickly. Get the easiest ways to solve the greatest common divisor of 744, 136, 968 i.e 8 in different methods as follows.
Given Input numbers are 744, 136, 968
In the factoring method, we have to find the divisors of all numbers
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 136 :
The positive integer divisors of 136 that completely divides 136 are.
1, 2, 4, 8, 17, 34, 68, 136
Divisors of 968 :
The positive integer divisors of 968 that completely divides 968 are.
1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
GCD of numbers is the greatest common divisor
So, the GCD (744, 136, 968) = 8.
Given numbers are 744, 136, 968
The list of prime factors of all numbers are
Prime factors of 744 are 2 x 2 x 2 x 3 x 31
Prime factors of 136 are 2 x 2 x 2 x 17
Prime factors of 968 are 2 x 2 x 2 x 11 x 11
The highest common occurrence is 23
Therefore, GCD of 744, 136, 968 is 8.
Given numbers are 744, 136, 968
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(744, 136) = 12648
GCD(744, 136) = ( 744 x 136 ) / 12648
= 744 / 136
= 744
Step2:
LCM(8, 968) = 968
GCD(8, 968) = ( 8 x 968 ) / 968
= 8 / 968
= 8
So, Greatest Common Divisor of 744, 136, 968 is 8
Here are some samples of GCD of Numbers calculations.
Given numbers are 744, 136, 968
The greatest common divisor of numbers 744, 136, 968 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 744, 136, 968 is 8.
1. What is the GCD of 744, 136, 968?
GCD of given numbers 744, 136, 968 is 8
2. How to calculate the greatest common divisor of 744, 136, 968?
We can find the highest common divisor of 744, 136, 968 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 744, 136, 968 i.e 8.
3. How can I use the GCD of 744, 136, 968Calculator?
Out the numbers 744, 136, 968 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.