Online GCD Calculator is useful to find the GCD of 492, 440, 128, 428 quickly. Get the easiest ways to solve the greatest common divisor of 492, 440, 128, 428 i.e 4 in different methods as follows.
Given Input numbers are 492, 440, 128, 428
In the factoring method, we have to find the divisors of all numbers
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 440 :
The positive integer divisors of 440 that completely divides 440 are.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
Divisors of 128 :
The positive integer divisors of 128 that completely divides 128 are.
1, 2, 4, 8, 16, 32, 64, 128
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 (492, 440, 128, 428) = 4.
Given numbers are 492, 440, 128, 428
The list of prime factors of all numbers are
Prime factors of 492 are 2 x 2 x 3 x 41
Prime factors of 440 are 2 x 2 x 2 x 5 x 11
Prime factors of 128 are 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime factors of 428 are 2 x 2 x 107
The highest common occurrence is 22
Therefore, GCD of 492, 440, 128, 428 is 4.
Given numbers are 492, 440, 128, 428
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(492, 440) = 54120
GCD(492, 440) = ( 492 x 440 ) / 54120
= 492 / 440
= 492
Step2:
LCM(4, 128) = 128
GCD(4, 128) = ( 4 x 128 ) / 128
= 4 / 128
= 4
Step3:
LCM(4, 428) = 428
GCD(4, 428) = ( 4 x 428 ) / 428
= 4 / 428
= 4
So, Greatest Common Divisor of 492, 440, 128, 428 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 492, 440, 128, 428
The greatest common divisor of numbers 492, 440, 128, 428 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 492, 440, 128, 428 is 4.
1. What is the GCD of 492, 440, 128, 428?
GCD of given numbers 492, 440, 128, 428 is 4
2. How to calculate the greatest common divisor of 492, 440, 128, 428?
We can find the highest common divisor of 492, 440, 128, 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 492, 440, 128, 428 i.e 4.
3. How can I use the GCD of 492, 440, 128, 428Calculator?
Out the numbers 492, 440, 128, 428 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.