Online GCD Calculator is useful to find the GCD of 360, 540, 616, 241 quickly. Get the easiest ways to solve the greatest common divisor of 360, 540, 616, 241 i.e 1 in different methods as follows.
Given Input numbers are 360, 540, 616, 241
In the factoring method, we have to find the divisors of all numbers
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 540 :
The positive integer divisors of 540 that completely divides 540 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
Divisors of 616 :
The positive integer divisors of 616 that completely divides 616 are.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
Divisors of 241 :
The positive integer divisors of 241 that completely divides 241 are.
1, 241
GCD of numbers is the greatest common divisor
So, the GCD (360, 540, 616, 241) = 1.
Given numbers are 360, 540, 616, 241
The list of prime factors of all numbers are
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5
Prime factors of 616 are 2 x 2 x 2 x 7 x 11
Prime factors of 241 are 241
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 360, 540, 616, 241
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(360, 540) = 1080
GCD(360, 540) = ( 360 x 540 ) / 1080
= 360 / 540
= 360
Step2:
LCM(180, 616) = 27720
GCD(180, 616) = ( 180 x 616 ) / 27720
= 180 / 616
= 180
Step3:
LCM(4, 241) = 964
GCD(4, 241) = ( 4 x 241 ) / 964
= 4 / 241
= 4
So, Greatest Common Divisor of 360, 540, 616, 241 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 360, 540, 616, 241
The greatest common divisor of numbers 360, 540, 616, 241 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 540, 616, 241 is 1.
1. What is the GCD of 360, 540, 616, 241?
GCD of given numbers 360, 540, 616, 241 is 1
2. How to calculate the greatest common divisor of 360, 540, 616, 241?
We can find the highest common divisor of 360, 540, 616, 241 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 360, 540, 616, 241 i.e 1.
3. How can I use the GCD of 360, 540, 616, 241Calculator?
Out the numbers 360, 540, 616, 241 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.