Online GCD Calculator is useful to find the GCD of 128, 918, 370, 140 quickly. Get the easiest ways to solve the greatest common divisor of 128, 918, 370, 140 i.e 2 in different methods as follows.
Given Input numbers are 128, 918, 370, 140
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 918 :
The positive integer divisors of 918 that completely divides 918 are.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
Divisors of 370 :
The positive integer divisors of 370 that completely divides 370 are.
1, 2, 5, 10, 37, 74, 185, 370
Divisors of 140 :
The positive integer divisors of 140 that completely divides 140 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
GCD of numbers is the greatest common divisor
So, the GCD (128, 918, 370, 140) = 2.
Given numbers are 128, 918, 370, 140
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 918 are 2 x 3 x 3 x 3 x 17
Prime factors of 370 are 2 x 5 x 37
Prime factors of 140 are 2 x 2 x 5 x 7
The highest common occurrence is 21
Therefore, GCD of 128, 918, 370, 140 is 2.
Given numbers are 128, 918, 370, 140
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(128, 918) = 58752
GCD(128, 918) = ( 128 x 918 ) / 58752
= 128 / 918
= 128
Step2:
LCM(2, 370) = 370
GCD(2, 370) = ( 2 x 370 ) / 370
= 2 / 370
= 2
Step3:
LCM(2, 140) = 140
GCD(2, 140) = ( 2 x 140 ) / 140
= 2 / 140
= 2
So, Greatest Common Divisor of 128, 918, 370, 140 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 128, 918, 370, 140
The greatest common divisor of numbers 128, 918, 370, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 128, 918, 370, 140 is 2.
1. What is the GCD of 128, 918, 370, 140?
GCD of given numbers 128, 918, 370, 140 is 2
2. How to calculate the greatest common divisor of 128, 918, 370, 140?
We can find the highest common divisor of 128, 918, 370, 140 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, 918, 370, 140 i.e 2.
3. How can I use the GCD of 128, 918, 370, 140Calculator?
Out the numbers 128, 918, 370, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.