Online GCD Calculator is useful to find the GCD of 645, 180, 540 quickly. Get the easiest ways to solve the greatest common divisor of 645, 180, 540 i.e 15 in different methods as follows.
Given Input numbers are 645, 180, 540
In the factoring method, we have to find the divisors of all numbers
Divisors of 645 :
The positive integer divisors of 645 that completely divides 645 are.
1, 3, 5, 15, 43, 129, 215, 645
Divisors of 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
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
GCD of numbers is the greatest common divisor
So, the GCD (645, 180, 540) = 15.
Given numbers are 645, 180, 540
The list of prime factors of all numbers are
Prime factors of 645 are 3 x 5 x 43
Prime factors of 180 are 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
The highest common occurrence is 31 x 51
Therefore, GCD of 645, 180, 540 is 15.
Given numbers are 645, 180, 540
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(645, 180) = 7740
GCD(645, 180) = ( 645 x 180 ) / 7740
= 645 / 180
= 645
Step2:
LCM(15, 540) = 540
GCD(15, 540) = ( 15 x 540 ) / 540
= 15 / 540
= 15
So, Greatest Common Divisor of 645, 180, 540 is 15
Here are some samples of GCD of Numbers calculations.
Given numbers are 645, 180, 540
The greatest common divisor of numbers 645, 180, 540 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 645, 180, 540 is 15.
1. What is the GCD of 645, 180, 540?
GCD of given numbers 645, 180, 540 is 15
2. How to calculate the greatest common divisor of 645, 180, 540?
We can find the highest common divisor of 645, 180, 540 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 645, 180, 540 i.e 15.
3. How can I use the GCD of 645, 180, 540Calculator?
Out the numbers 645, 180, 540 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.