Online GCD Calculator is useful to find the GCD of 777, 297, 78 quickly. Get the easiest ways to solve the greatest common divisor of 777, 297, 78 i.e 3 in different methods as follows.
Given Input numbers are 777, 297, 78
In the factoring method, we have to find the divisors of all numbers
Divisors of 777 :
The positive integer divisors of 777 that completely divides 777 are.
1, 3, 7, 21, 37, 111, 259, 777
Divisors of 297 :
The positive integer divisors of 297 that completely divides 297 are.
1, 3, 9, 11, 27, 33, 99, 297
Divisors of 78 :
The positive integer divisors of 78 that completely divides 78 are.
1, 2, 3, 6, 13, 26, 39, 78
GCD of numbers is the greatest common divisor
So, the GCD (777, 297, 78) = 3.
Given numbers are 777, 297, 78
The list of prime factors of all numbers are
Prime factors of 777 are 3 x 7 x 37
Prime factors of 297 are 3 x 3 x 3 x 11
Prime factors of 78 are 2 x 3 x 13
The highest common occurrence is 31
Therefore, GCD of 777, 297, 78 is 3.
Given numbers are 777, 297, 78
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(777, 297) = 76923
GCD(777, 297) = ( 777 x 297 ) / 76923
= 777 / 297
= 777
Step2:
LCM(3, 78) = 78
GCD(3, 78) = ( 3 x 78 ) / 78
= 3 / 78
= 3
So, Greatest Common Divisor of 777, 297, 78 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 777, 297, 78
The greatest common divisor of numbers 777, 297, 78 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 777, 297, 78 is 3.
1. What is the GCD of 777, 297, 78?
GCD of given numbers 777, 297, 78 is 3
2. How to calculate the greatest common divisor of 777, 297, 78?
We can find the highest common divisor of 777, 297, 78 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 777, 297, 78 i.e 3.
3. How can I use the GCD of 777, 297, 78Calculator?
Out the numbers 777, 297, 78 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.