Online GCD Calculator is useful to find the GCD of 128, 136, 488, 378 quickly. Get the easiest ways to solve the greatest common divisor of 128, 136, 488, 378 i.e 2 in different methods as follows.
Given Input numbers are 128, 136, 488, 378
In the factoring method, we have to find the divisors of all numbers
Divisors of 128 :
The positive integer divisors of 128 that completely divides 128 are.
1, 2, 4, 8, 16, 32, 64, 128
Divisors of 136 :
The positive integer divisors of 136 that completely divides 136 are.
1, 2, 4, 8, 17, 34, 68, 136
Divisors of 488 :
The positive integer divisors of 488 that completely divides 488 are.
1, 2, 4, 8, 61, 122, 244, 488
Divisors of 378 :
The positive integer divisors of 378 that completely divides 378 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
GCD of numbers is the greatest common divisor
So, the GCD (128, 136, 488, 378) = 2.
Given numbers are 128, 136, 488, 378
The list of prime factors of all numbers are
Prime factors of 128 are 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime factors of 136 are 2 x 2 x 2 x 17
Prime factors of 488 are 2 x 2 x 2 x 61
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
The highest common occurrence is 21
Therefore, GCD of 128, 136, 488, 378 is 2.
Given numbers are 128, 136, 488, 378
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(128, 136) = 2176
GCD(128, 136) = ( 128 x 136 ) / 2176
= 128 / 136
= 128
Step2:
LCM(8, 488) = 488
GCD(8, 488) = ( 8 x 488 ) / 488
= 8 / 488
= 8
Step3:
LCM(8, 378) = 1512
GCD(8, 378) = ( 8 x 378 ) / 1512
= 8 / 378
= 8
So, Greatest Common Divisor of 128, 136, 488, 378 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 128, 136, 488, 378
The greatest common divisor of numbers 128, 136, 488, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 128, 136, 488, 378 is 2.
1. What is the GCD of 128, 136, 488, 378?
GCD of given numbers 128, 136, 488, 378 is 2
2. How to calculate the greatest common divisor of 128, 136, 488, 378?
We can find the highest common divisor of 128, 136, 488, 378 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 128, 136, 488, 378 i.e 2.
3. How can I use the GCD of 128, 136, 488, 378Calculator?
Out the numbers 128, 136, 488, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.