Online GCD Calculator is useful to find the GCD of 612, 795, 771, 216 quickly. Get the easiest ways to solve the greatest common divisor of 612, 795, 771, 216 i.e 3 in different methods as follows.
Given Input numbers are 612, 795, 771, 216
In the factoring method, we have to find the divisors of all numbers
Divisors of 612 :
The positive integer divisors of 612 that completely divides 612 are.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
Divisors of 795 :
The positive integer divisors of 795 that completely divides 795 are.
1, 3, 5, 15, 53, 159, 265, 795
Divisors of 771 :
The positive integer divisors of 771 that completely divides 771 are.
1, 3, 257, 771
Divisors of 216 :
The positive integer divisors of 216 that completely divides 216 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
GCD of numbers is the greatest common divisor
So, the GCD (612, 795, 771, 216) = 3.
Given numbers are 612, 795, 771, 216
The list of prime factors of all numbers are
Prime factors of 612 are 2 x 2 x 3 x 3 x 17
Prime factors of 795 are 3 x 5 x 53
Prime factors of 771 are 3 x 257
Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3
The highest common occurrence is 31
Therefore, GCD of 612, 795, 771, 216 is 3.
Given numbers are 612, 795, 771, 216
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(612, 795) = 162180
GCD(612, 795) = ( 612 x 795 ) / 162180
= 612 / 795
= 612
Step2:
LCM(3, 771) = 771
GCD(3, 771) = ( 3 x 771 ) / 771
= 3 / 771
= 3
Step3:
LCM(3, 216) = 216
GCD(3, 216) = ( 3 x 216 ) / 216
= 3 / 216
= 3
So, Greatest Common Divisor of 612, 795, 771, 216 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 612, 795, 771, 216
The greatest common divisor of numbers 612, 795, 771, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 612, 795, 771, 216 is 3.
1. What is the GCD of 612, 795, 771, 216?
GCD of given numbers 612, 795, 771, 216 is 3
2. How to calculate the greatest common divisor of 612, 795, 771, 216?
We can find the highest common divisor of 612, 795, 771, 216 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 612, 795, 771, 216 i.e 3.
3. How can I use the GCD of 612, 795, 771, 216Calculator?
Out the numbers 612, 795, 771, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.