Online GCD Calculator is useful to find the GCD of 256, 764, 428 quickly. Get the easiest ways to solve the greatest common divisor of 256, 764, 428 i.e 4 in different methods as follows.
Given Input numbers are 256, 764, 428
In the factoring method, we have to find the divisors of all numbers
Divisors of 256 :
The positive integer divisors of 256 that completely divides 256 are.
1, 2, 4, 8, 16, 32, 64, 128, 256
Divisors of 764 :
The positive integer divisors of 764 that completely divides 764 are.
1, 2, 4, 191, 382, 764
Divisors of 428 :
The positive integer divisors of 428 that completely divides 428 are.
1, 2, 4, 107, 214, 428
GCD of numbers is the greatest common divisor
So, the GCD (256, 764, 428) = 4.
Given numbers are 256, 764, 428
The list of prime factors of all numbers are
Prime factors of 256 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime factors of 764 are 2 x 2 x 191
Prime factors of 428 are 2 x 2 x 107
The highest common occurrence is 22
Therefore, GCD of 256, 764, 428 is 4.
Given numbers are 256, 764, 428
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(256, 764) = 48896
GCD(256, 764) = ( 256 x 764 ) / 48896
= 256 / 764
= 256
Step2:
LCM(4, 428) = 428
GCD(4, 428) = ( 4 x 428 ) / 428
= 4 / 428
= 4
So, Greatest Common Divisor of 256, 764, 428 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 256, 764, 428
The greatest common divisor of numbers 256, 764, 428 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 256, 764, 428 is 4.
1. What is the GCD of 256, 764, 428?
GCD of given numbers 256, 764, 428 is 4
2. How to calculate the greatest common divisor of 256, 764, 428?
We can find the highest common divisor of 256, 764, 428 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 256, 764, 428 i.e 4.
3. How can I use the GCD of 256, 764, 428Calculator?
Out the numbers 256, 764, 428 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.