Online GCD Calculator is useful to find the GCD of 240, 362, 50, 304 quickly. Get the easiest ways to solve the greatest common divisor of 240, 362, 50, 304 i.e 2 in different methods as follows.
Given Input numbers are 240, 362, 50, 304
In the factoring method, we have to find the divisors of all numbers
Divisors of 240 :
The positive integer divisors of 240 that completely divides 240 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Divisors of 362 :
The positive integer divisors of 362 that completely divides 362 are.
1, 2, 181, 362
Divisors of 50 :
The positive integer divisors of 50 that completely divides 50 are.
1, 2, 5, 10, 25, 50
Divisors of 304 :
The positive integer divisors of 304 that completely divides 304 are.
1, 2, 4, 8, 16, 19, 38, 76, 152, 304
GCD of numbers is the greatest common divisor
So, the GCD (240, 362, 50, 304) = 2.
Given numbers are 240, 362, 50, 304
The list of prime factors of all numbers are
Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 362 are 2 x 181
Prime factors of 50 are 2 x 5 x 5
Prime factors of 304 are 2 x 2 x 2 x 2 x 19
The highest common occurrence is 21
Therefore, GCD of 240, 362, 50, 304 is 2.
Given numbers are 240, 362, 50, 304
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(240, 362) = 43440
GCD(240, 362) = ( 240 x 362 ) / 43440
= 240 / 362
= 240
Step2:
LCM(2, 50) = 50
GCD(2, 50) = ( 2 x 50 ) / 50
= 2 / 50
= 2
Step3:
LCM(2, 304) = 304
GCD(2, 304) = ( 2 x 304 ) / 304
= 2 / 304
= 2
So, Greatest Common Divisor of 240, 362, 50, 304 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 240, 362, 50, 304
The greatest common divisor of numbers 240, 362, 50, 304 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 362, 50, 304 is 2.
1. What is the GCD of 240, 362, 50, 304?
GCD of given numbers 240, 362, 50, 304 is 2
2. How to calculate the greatest common divisor of 240, 362, 50, 304?
We can find the highest common divisor of 240, 362, 50, 304 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 240, 362, 50, 304 i.e 2.
3. How can I use the GCD of 240, 362, 50, 304Calculator?
Out the numbers 240, 362, 50, 304 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.