Online GCD Calculator is useful to find the GCD of 485, 715, 545, 360 quickly. Get the easiest ways to solve the greatest common divisor of 485, 715, 545, 360 i.e 5 in different methods as follows.
Given Input numbers are 485, 715, 545, 360
In the factoring method, we have to find the divisors of all numbers
Divisors of 485 :
The positive integer divisors of 485 that completely divides 485 are.
1, 5, 97, 485
Divisors of 715 :
The positive integer divisors of 715 that completely divides 715 are.
1, 5, 11, 13, 55, 65, 143, 715
Divisors of 545 :
The positive integer divisors of 545 that completely divides 545 are.
1, 5, 109, 545
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
GCD of numbers is the greatest common divisor
So, the GCD (485, 715, 545, 360) = 5.
Given numbers are 485, 715, 545, 360
The list of prime factors of all numbers are
Prime factors of 485 are 5 x 97
Prime factors of 715 are 5 x 11 x 13
Prime factors of 545 are 5 x 109
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
The highest common occurrence is 51
Therefore, GCD of 485, 715, 545, 360 is 5.
Given numbers are 485, 715, 545, 360
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(485, 715) = 69355
GCD(485, 715) = ( 485 x 715 ) / 69355
= 485 / 715
= 485
Step2:
LCM(5, 545) = 545
GCD(5, 545) = ( 5 x 545 ) / 545
= 5 / 545
= 5
Step3:
LCM(5, 360) = 360
GCD(5, 360) = ( 5 x 360 ) / 360
= 5 / 360
= 5
So, Greatest Common Divisor of 485, 715, 545, 360 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 485, 715, 545, 360
The greatest common divisor of numbers 485, 715, 545, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 485, 715, 545, 360 is 5.
1. What is the GCD of 485, 715, 545, 360?
GCD of given numbers 485, 715, 545, 360 is 5
2. How to calculate the greatest common divisor of 485, 715, 545, 360?
We can find the highest common divisor of 485, 715, 545, 360 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 485, 715, 545, 360 i.e 5.
3. How can I use the GCD of 485, 715, 545, 360Calculator?
Out the numbers 485, 715, 545, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.