Online GCD Calculator is useful to find the GCD of 777, 972, 405, 828 quickly. Get the easiest ways to solve the greatest common divisor of 777, 972, 405, 828 i.e 3 in different methods as follows.
Given Input numbers are 777, 972, 405, 828
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 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Divisors of 405 :
The positive integer divisors of 405 that completely divides 405 are.
1, 3, 5, 9, 15, 27, 45, 81, 135, 405
Divisors of 828 :
The positive integer divisors of 828 that completely divides 828 are.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
GCD of numbers is the greatest common divisor
So, the GCD (777, 972, 405, 828) = 3.
Given numbers are 777, 972, 405, 828
The list of prime factors of all numbers are
Prime factors of 777 are 3 x 7 x 37
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 405 are 3 x 3 x 3 x 3 x 5
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
The highest common occurrence is 31
Therefore, GCD of 777, 972, 405, 828 is 3.
Given numbers are 777, 972, 405, 828
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(777, 972) = 251748
GCD(777, 972) = ( 777 x 972 ) / 251748
= 777 / 972
= 777
Step2:
LCM(3, 405) = 405
GCD(3, 405) = ( 3 x 405 ) / 405
= 3 / 405
= 3
Step3:
LCM(3, 828) = 828
GCD(3, 828) = ( 3 x 828 ) / 828
= 3 / 828
= 3
So, Greatest Common Divisor of 777, 972, 405, 828 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 777, 972, 405, 828
The greatest common divisor of numbers 777, 972, 405, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 777, 972, 405, 828 is 3.
1. What is the GCD of 777, 972, 405, 828?
GCD of given numbers 777, 972, 405, 828 is 3
2. How to calculate the greatest common divisor of 777, 972, 405, 828?
We can find the highest common divisor of 777, 972, 405, 828 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, 972, 405, 828 i.e 3.
3. How can I use the GCD of 777, 972, 405, 828Calculator?
Out the numbers 777, 972, 405, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.