Online GCD Calculator is useful to find the GCD of 777, 822, 24, 129 quickly. Get the easiest ways to solve the greatest common divisor of 777, 822, 24, 129 i.e 3 in different methods as follows.
Given Input numbers are 777, 822, 24, 129
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 822 :
The positive integer divisors of 822 that completely divides 822 are.
1, 2, 3, 6, 137, 274, 411, 822
Divisors of 24 :
The positive integer divisors of 24 that completely divides 24 are.
1, 2, 3, 4, 6, 8, 12, 24
Divisors of 129 :
The positive integer divisors of 129 that completely divides 129 are.
1, 3, 43, 129
GCD of numbers is the greatest common divisor
So, the GCD (777, 822, 24, 129) = 3.
Given numbers are 777, 822, 24, 129
The list of prime factors of all numbers are
Prime factors of 777 are 3 x 7 x 37
Prime factors of 822 are 2 x 3 x 137
Prime factors of 24 are 2 x 2 x 2 x 3
Prime factors of 129 are 3 x 43
The highest common occurrence is 31
Therefore, GCD of 777, 822, 24, 129 is 3.
Given numbers are 777, 822, 24, 129
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(777, 822) = 212898
GCD(777, 822) = ( 777 x 822 ) / 212898
= 777 / 822
= 777
Step2:
LCM(3, 24) = 24
GCD(3, 24) = ( 3 x 24 ) / 24
= 3 / 24
= 3
Step3:
LCM(3, 129) = 129
GCD(3, 129) = ( 3 x 129 ) / 129
= 3 / 129
= 3
So, Greatest Common Divisor of 777, 822, 24, 129 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 777, 822, 24, 129
The greatest common divisor of numbers 777, 822, 24, 129 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 777, 822, 24, 129 is 3.
1. What is the GCD of 777, 822, 24, 129?
GCD of given numbers 777, 822, 24, 129 is 3
2. How to calculate the greatest common divisor of 777, 822, 24, 129?
We can find the highest common divisor of 777, 822, 24, 129 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, 822, 24, 129 i.e 3.
3. How can I use the GCD of 777, 822, 24, 129Calculator?
Out the numbers 777, 822, 24, 129 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.