Online GCD Calculator is useful to find the GCD of 304, 136, 640, 242 quickly. Get the easiest ways to solve the greatest common divisor of 304, 136, 640, 242 i.e 2 in different methods as follows.
Given Input numbers are 304, 136, 640, 242
In the factoring method, we have to find the divisors of all numbers
Divisors of 304 :
The positive integer divisors of 304 that completely divides 304 are.
1, 2, 4, 8, 16, 19, 38, 76, 152, 304
Divisors of 136 :
The positive integer divisors of 136 that completely divides 136 are.
1, 2, 4, 8, 17, 34, 68, 136
Divisors of 640 :
The positive integer divisors of 640 that completely divides 640 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
Divisors of 242 :
The positive integer divisors of 242 that completely divides 242 are.
1, 2, 11, 22, 121, 242
GCD of numbers is the greatest common divisor
So, the GCD (304, 136, 640, 242) = 2.
Given numbers are 304, 136, 640, 242
The list of prime factors of all numbers are
Prime factors of 304 are 2 x 2 x 2 x 2 x 19
Prime factors of 136 are 2 x 2 x 2 x 17
Prime factors of 640 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 242 are 2 x 11 x 11
The highest common occurrence is 21
Therefore, GCD of 304, 136, 640, 242 is 2.
Given numbers are 304, 136, 640, 242
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(304, 136) = 5168
GCD(304, 136) = ( 304 x 136 ) / 5168
= 304 / 136
= 304
Step2:
LCM(8, 640) = 640
GCD(8, 640) = ( 8 x 640 ) / 640
= 8 / 640
= 8
Step3:
LCM(8, 242) = 968
GCD(8, 242) = ( 8 x 242 ) / 968
= 8 / 242
= 8
So, Greatest Common Divisor of 304, 136, 640, 242 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 304, 136, 640, 242
The greatest common divisor of numbers 304, 136, 640, 242 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 304, 136, 640, 242 is 2.
1. What is the GCD of 304, 136, 640, 242?
GCD of given numbers 304, 136, 640, 242 is 2
2. How to calculate the greatest common divisor of 304, 136, 640, 242?
We can find the highest common divisor of 304, 136, 640, 242 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 304, 136, 640, 242 i.e 2.
3. How can I use the GCD of 304, 136, 640, 242Calculator?
Out the numbers 304, 136, 640, 242 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.