Online GCD Calculator is useful to find the GCD of 705, 205, 365, 240 quickly. Get the easiest ways to solve the greatest common divisor of 705, 205, 365, 240 i.e 5 in different methods as follows.
Given Input numbers are 705, 205, 365, 240
In the factoring method, we have to find the divisors of all numbers
Divisors of 705 :
The positive integer divisors of 705 that completely divides 705 are.
1, 3, 5, 15, 47, 141, 235, 705
Divisors of 205 :
The positive integer divisors of 205 that completely divides 205 are.
1, 5, 41, 205
Divisors of 365 :
The positive integer divisors of 365 that completely divides 365 are.
1, 5, 73, 365
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
GCD of numbers is the greatest common divisor
So, the GCD (705, 205, 365, 240) = 5.
Given numbers are 705, 205, 365, 240
The list of prime factors of all numbers are
Prime factors of 705 are 3 x 5 x 47
Prime factors of 205 are 5 x 41
Prime factors of 365 are 5 x 73
Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5
The highest common occurrence is 51
Therefore, GCD of 705, 205, 365, 240 is 5.
Given numbers are 705, 205, 365, 240
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(705, 205) = 28905
GCD(705, 205) = ( 705 x 205 ) / 28905
= 705 / 205
= 705
Step2:
LCM(5, 365) = 365
GCD(5, 365) = ( 5 x 365 ) / 365
= 5 / 365
= 5
Step3:
LCM(5, 240) = 240
GCD(5, 240) = ( 5 x 240 ) / 240
= 5 / 240
= 5
So, Greatest Common Divisor of 705, 205, 365, 240 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 705, 205, 365, 240
The greatest common divisor of numbers 705, 205, 365, 240 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 705, 205, 365, 240 is 5.
1. What is the GCD of 705, 205, 365, 240?
GCD of given numbers 705, 205, 365, 240 is 5
2. How to calculate the greatest common divisor of 705, 205, 365, 240?
We can find the highest common divisor of 705, 205, 365, 240 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 705, 205, 365, 240 i.e 5.
3. How can I use the GCD of 705, 205, 365, 240Calculator?
Out the numbers 705, 205, 365, 240 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.