Online GCD Calculator is useful to find the GCD of 774, 882, 336 quickly. Get the easiest ways to solve the greatest common divisor of 774, 882, 336 i.e 6 in different methods as follows.
Given Input numbers are 774, 882, 336
In the factoring method, we have to find the divisors of all numbers
Divisors of 774 :
The positive integer divisors of 774 that completely divides 774 are.
1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
Divisors of 882 :
The positive integer divisors of 882 that completely divides 882 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
Divisors of 336 :
The positive integer divisors of 336 that completely divides 336 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
GCD of numbers is the greatest common divisor
So, the GCD (774, 882, 336) = 6.
Given numbers are 774, 882, 336
The list of prime factors of all numbers are
Prime factors of 774 are 2 x 3 x 3 x 43
Prime factors of 882 are 2 x 3 x 3 x 7 x 7
Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7
The highest common occurrence is 21 x 31
Therefore, GCD of 774, 882, 336 is 6.
Given numbers are 774, 882, 336
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(774, 882) = 37926
GCD(774, 882) = ( 774 x 882 ) / 37926
= 774 / 882
= 774
Step2:
LCM(18, 336) = 1008
GCD(18, 336) = ( 18 x 336 ) / 1008
= 18 / 336
= 18
So, Greatest Common Divisor of 774, 882, 336 is 6
Here are some samples of GCD of Numbers calculations.
Given numbers are 774, 882, 336
The greatest common divisor of numbers 774, 882, 336 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 774, 882, 336 is 6.
1. What is the GCD of 774, 882, 336?
GCD of given numbers 774, 882, 336 is 6
2. How to calculate the greatest common divisor of 774, 882, 336?
We can find the highest common divisor of 774, 882, 336 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 774, 882, 336 i.e 6.
3. How can I use the GCD of 774, 882, 336Calculator?
Out the numbers 774, 882, 336 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.