Online GCD Calculator is useful to find the GCD of 645, 303, 510, 765 quickly. Get the easiest ways to solve the greatest common divisor of 645, 303, 510, 765 i.e 3 in different methods as follows.
Given Input numbers are 645, 303, 510, 765
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 303 :
The positive integer divisors of 303 that completely divides 303 are.
1, 3, 101, 303
Divisors of 510 :
The positive integer divisors of 510 that completely divides 510 are.
1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
Divisors of 765 :
The positive integer divisors of 765 that completely divides 765 are.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
GCD of numbers is the greatest common divisor
So, the GCD (645, 303, 510, 765) = 3.
Given numbers are 645, 303, 510, 765
The list of prime factors of all numbers are
Prime factors of 645 are 3 x 5 x 43
Prime factors of 303 are 3 x 101
Prime factors of 510 are 2 x 3 x 5 x 17
Prime factors of 765 are 3 x 3 x 5 x 17
The highest common occurrence is 31
Therefore, GCD of 645, 303, 510, 765 is 3.
Given numbers are 645, 303, 510, 765
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(645, 303) = 65145
GCD(645, 303) = ( 645 x 303 ) / 65145
= 645 / 303
= 645
Step2:
LCM(3, 510) = 510
GCD(3, 510) = ( 3 x 510 ) / 510
= 3 / 510
= 3
Step3:
LCM(3, 765) = 765
GCD(3, 765) = ( 3 x 765 ) / 765
= 3 / 765
= 3
So, Greatest Common Divisor of 645, 303, 510, 765 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 645, 303, 510, 765
The greatest common divisor of numbers 645, 303, 510, 765 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 645, 303, 510, 765 is 3.
1. What is the GCD of 645, 303, 510, 765?
GCD of given numbers 645, 303, 510, 765 is 3
2. How to calculate the greatest common divisor of 645, 303, 510, 765?
We can find the highest common divisor of 645, 303, 510, 765 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, 303, 510, 765 i.e 3.
3. How can I use the GCD of 645, 303, 510, 765Calculator?
Out the numbers 645, 303, 510, 765 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.