Online GCD Calculator is useful to find the GCD of 428, 816, 928, 416 quickly. Get the easiest ways to solve the greatest common divisor of 428, 816, 928, 416 i.e 4 in different methods as follows.
Given Input numbers are 428, 816, 928, 416
In the factoring method, we have to find the divisors of all numbers
Divisors of 428 :
The positive integer divisors of 428 that completely divides 428 are.
1, 2, 4, 107, 214, 428
Divisors of 816 :
The positive integer divisors of 816 that completely divides 816 are.
1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
Divisors of 928 :
The positive integer divisors of 928 that completely divides 928 are.
1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
Divisors of 416 :
The positive integer divisors of 416 that completely divides 416 are.
1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
GCD of numbers is the greatest common divisor
So, the GCD (428, 816, 928, 416) = 4.
Given numbers are 428, 816, 928, 416
The list of prime factors of all numbers are
Prime factors of 428 are 2 x 2 x 107
Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17
Prime factors of 928 are 2 x 2 x 2 x 2 x 2 x 29
Prime factors of 416 are 2 x 2 x 2 x 2 x 2 x 13
The highest common occurrence is 22
Therefore, GCD of 428, 816, 928, 416 is 4.
Given numbers are 428, 816, 928, 416
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(428, 816) = 87312
GCD(428, 816) = ( 428 x 816 ) / 87312
= 428 / 816
= 428
Step2:
LCM(4, 928) = 928
GCD(4, 928) = ( 4 x 928 ) / 928
= 4 / 928
= 4
Step3:
LCM(4, 416) = 416
GCD(4, 416) = ( 4 x 416 ) / 416
= 4 / 416
= 4
So, Greatest Common Divisor of 428, 816, 928, 416 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 428, 816, 928, 416
The greatest common divisor of numbers 428, 816, 928, 416 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 816, 928, 416 is 4.
1. What is the GCD of 428, 816, 928, 416?
GCD of given numbers 428, 816, 928, 416 is 4
2. How to calculate the greatest common divisor of 428, 816, 928, 416?
We can find the highest common divisor of 428, 816, 928, 416 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 428, 816, 928, 416 i.e 4.
3. How can I use the GCD of 428, 816, 928, 416Calculator?
Out the numbers 428, 816, 928, 416 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.