Online GCD Calculator is useful to find the GCD of 628, 136, 448, 384 quickly. Get the easiest ways to solve the greatest common divisor of 628, 136, 448, 384 i.e 4 in different methods as follows.
Given Input numbers are 628, 136, 448, 384
In the factoring method, we have to find the divisors of all numbers
Divisors of 628 :
The positive integer divisors of 628 that completely divides 628 are.
1, 2, 4, 157, 314, 628
Divisors of 136 :
The positive integer divisors of 136 that completely divides 136 are.
1, 2, 4, 8, 17, 34, 68, 136
Divisors of 448 :
The positive integer divisors of 448 that completely divides 448 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
Divisors of 384 :
The positive integer divisors of 384 that completely divides 384 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
GCD of numbers is the greatest common divisor
So, the GCD (628, 136, 448, 384) = 4.
Given numbers are 628, 136, 448, 384
The list of prime factors of all numbers are
Prime factors of 628 are 2 x 2 x 157
Prime factors of 136 are 2 x 2 x 2 x 17
Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
The highest common occurrence is 22
Therefore, GCD of 628, 136, 448, 384 is 4.
Given numbers are 628, 136, 448, 384
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(628, 136) = 21352
GCD(628, 136) = ( 628 x 136 ) / 21352
= 628 / 136
= 628
Step2:
LCM(4, 448) = 448
GCD(4, 448) = ( 4 x 448 ) / 448
= 4 / 448
= 4
Step3:
LCM(4, 384) = 384
GCD(4, 384) = ( 4 x 384 ) / 384
= 4 / 384
= 4
So, Greatest Common Divisor of 628, 136, 448, 384 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 628, 136, 448, 384
The greatest common divisor of numbers 628, 136, 448, 384 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 628, 136, 448, 384 is 4.
1. What is the GCD of 628, 136, 448, 384?
GCD of given numbers 628, 136, 448, 384 is 4
2. How to calculate the greatest common divisor of 628, 136, 448, 384?
We can find the highest common divisor of 628, 136, 448, 384 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 628, 136, 448, 384 i.e 4.
3. How can I use the GCD of 628, 136, 448, 384Calculator?
Out the numbers 628, 136, 448, 384 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.