Online GCD Calculator is useful to find the GCD of 774, 744, 284, 126 quickly. Get the easiest ways to solve the greatest common divisor of 774, 744, 284, 126 i.e 2 in different methods as follows.
Given Input numbers are 774, 744, 284, 126
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 744 :
The positive integer divisors of 744 that completely divides 744 are.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
Divisors of 284 :
The positive integer divisors of 284 that completely divides 284 are.
1, 2, 4, 71, 142, 284
Divisors of 126 :
The positive integer divisors of 126 that completely divides 126 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
GCD of numbers is the greatest common divisor
So, the GCD (774, 744, 284, 126) = 2.
Given numbers are 774, 744, 284, 126
The list of prime factors of all numbers are
Prime factors of 774 are 2 x 3 x 3 x 43
Prime factors of 744 are 2 x 2 x 2 x 3 x 31
Prime factors of 284 are 2 x 2 x 71
Prime factors of 126 are 2 x 3 x 3 x 7
The highest common occurrence is 21
Therefore, GCD of 774, 744, 284, 126 is 2.
Given numbers are 774, 744, 284, 126
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(774, 744) = 95976
GCD(774, 744) = ( 774 x 744 ) / 95976
= 774 / 744
= 774
Step2:
LCM(6, 284) = 852
GCD(6, 284) = ( 6 x 284 ) / 852
= 6 / 284
= 6
Step3:
LCM(2, 126) = 126
GCD(2, 126) = ( 2 x 126 ) / 126
= 2 / 126
= 2
So, Greatest Common Divisor of 774, 744, 284, 126 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 774, 744, 284, 126
The greatest common divisor of numbers 774, 744, 284, 126 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 774, 744, 284, 126 is 2.
1. What is the GCD of 774, 744, 284, 126?
GCD of given numbers 774, 744, 284, 126 is 2
2. How to calculate the greatest common divisor of 774, 744, 284, 126?
We can find the highest common divisor of 774, 744, 284, 126 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, 744, 284, 126 i.e 2.
3. How can I use the GCD of 774, 744, 284, 126Calculator?
Out the numbers 774, 744, 284, 126 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.