Online GCD Calculator is useful to find the GCD of 648, 432, 645, 777 quickly. Get the easiest ways to solve the greatest common divisor of 648, 432, 645, 777 i.e 3 in different methods as follows.
Given Input numbers are 648, 432, 645, 777
In the factoring method, we have to find the divisors of all numbers
Divisors of 648 :
The positive integer divisors of 648 that completely divides 648 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
Divisors of 432 :
The positive integer divisors of 432 that completely divides 432 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
Divisors of 645 :
The positive integer divisors of 645 that completely divides 645 are.
1, 3, 5, 15, 43, 129, 215, 645
Divisors of 777 :
The positive integer divisors of 777 that completely divides 777 are.
1, 3, 7, 21, 37, 111, 259, 777
GCD of numbers is the greatest common divisor
So, the GCD (648, 432, 645, 777) = 3.
Given numbers are 648, 432, 645, 777
The list of prime factors of all numbers are
Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3
Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 645 are 3 x 5 x 43
Prime factors of 777 are 3 x 7 x 37
The highest common occurrence is 31
Therefore, GCD of 648, 432, 645, 777 is 3.
Given numbers are 648, 432, 645, 777
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(648, 432) = 1296
GCD(648, 432) = ( 648 x 432 ) / 1296
= 648 / 432
= 648
Step2:
LCM(216, 645) = 46440
GCD(216, 645) = ( 216 x 645 ) / 46440
= 216 / 645
= 216
Step3:
LCM(3, 777) = 777
GCD(3, 777) = ( 3 x 777 ) / 777
= 3 / 777
= 3
So, Greatest Common Divisor of 648, 432, 645, 777 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 648, 432, 645, 777
The greatest common divisor of numbers 648, 432, 645, 777 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 648, 432, 645, 777 is 3.
1. What is the GCD of 648, 432, 645, 777?
GCD of given numbers 648, 432, 645, 777 is 3
2. How to calculate the greatest common divisor of 648, 432, 645, 777?
We can find the highest common divisor of 648, 432, 645, 777 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 648, 432, 645, 777 i.e 3.
3. How can I use the GCD of 648, 432, 645, 777Calculator?
Out the numbers 648, 432, 645, 777 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.