Online GCD Calculator is useful to find the GCD of 434, 528, 360, 128 quickly. Get the easiest ways to solve the greatest common divisor of 434, 528, 360, 128 i.e 2 in different methods as follows.
Given Input numbers are 434, 528, 360, 128
In the factoring method, we have to find the divisors of all numbers
Divisors of 434 :
The positive integer divisors of 434 that completely divides 434 are.
1, 2, 7, 14, 31, 62, 217, 434
Divisors of 528 :
The positive integer divisors of 528 that completely divides 528 are.
1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 128 :
The positive integer divisors of 128 that completely divides 128 are.
1, 2, 4, 8, 16, 32, 64, 128
GCD of numbers is the greatest common divisor
So, the GCD (434, 528, 360, 128) = 2.
Given numbers are 434, 528, 360, 128
The list of prime factors of all numbers are
Prime factors of 434 are 2 x 7 x 31
Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 128 are 2 x 2 x 2 x 2 x 2 x 2 x 2
The highest common occurrence is 21
Therefore, GCD of 434, 528, 360, 128 is 2.
Given numbers are 434, 528, 360, 128
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(434, 528) = 114576
GCD(434, 528) = ( 434 x 528 ) / 114576
= 434 / 528
= 434
Step2:
LCM(2, 360) = 360
GCD(2, 360) = ( 2 x 360 ) / 360
= 2 / 360
= 2
Step3:
LCM(2, 128) = 128
GCD(2, 128) = ( 2 x 128 ) / 128
= 2 / 128
= 2
So, Greatest Common Divisor of 434, 528, 360, 128 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 434, 528, 360, 128
The greatest common divisor of numbers 434, 528, 360, 128 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 434, 528, 360, 128 is 2.
1. What is the GCD of 434, 528, 360, 128?
GCD of given numbers 434, 528, 360, 128 is 2
2. How to calculate the greatest common divisor of 434, 528, 360, 128?
We can find the highest common divisor of 434, 528, 360, 128 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 434, 528, 360, 128 i.e 2.
3. How can I use the GCD of 434, 528, 360, 128Calculator?
Out the numbers 434, 528, 360, 128 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.