Online GCD Calculator is useful to find the GCD of 768, 412, 656, 748 quickly. Get the easiest ways to solve the greatest common divisor of 768, 412, 656, 748 i.e 4 in different methods as follows.
Given Input numbers are 768, 412, 656, 748
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 412 :
The positive integer divisors of 412 that completely divides 412 are.
1, 2, 4, 103, 206, 412
Divisors of 656 :
The positive integer divisors of 656 that completely divides 656 are.
1, 2, 4, 8, 16, 41, 82, 164, 328, 656
Divisors of 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
GCD of numbers is the greatest common divisor
So, the GCD (768, 412, 656, 748) = 4.
Given numbers are 768, 412, 656, 748
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 412 are 2 x 2 x 103
Prime factors of 656 are 2 x 2 x 2 x 2 x 41
Prime factors of 748 are 2 x 2 x 11 x 17
The highest common occurrence is 22
Therefore, GCD of 768, 412, 656, 748 is 4.
Given numbers are 768, 412, 656, 748
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(768, 412) = 79104
GCD(768, 412) = ( 768 x 412 ) / 79104
= 768 / 412
= 768
Step2:
LCM(4, 656) = 656
GCD(4, 656) = ( 4 x 656 ) / 656
= 4 / 656
= 4
Step3:
LCM(4, 748) = 748
GCD(4, 748) = ( 4 x 748 ) / 748
= 4 / 748
= 4
So, Greatest Common Divisor of 768, 412, 656, 748 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 768, 412, 656, 748
The greatest common divisor of numbers 768, 412, 656, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 768, 412, 656, 748 is 4.
1. What is the GCD of 768, 412, 656, 748?
GCD of given numbers 768, 412, 656, 748 is 4
2. How to calculate the greatest common divisor of 768, 412, 656, 748?
We can find the highest common divisor of 768, 412, 656, 748 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, 412, 656, 748 i.e 4.
3. How can I use the GCD of 768, 412, 656, 748Calculator?
Out the numbers 768, 412, 656, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.