Online GCD Calculator is useful to find the GCD of 504, 777, 642, 303 quickly. Get the easiest ways to solve the greatest common divisor of 504, 777, 642, 303 i.e 3 in different methods as follows.
Given Input numbers are 504, 777, 642, 303
In the factoring method, we have to find the divisors of all numbers
Divisors of 504 :
The positive integer divisors of 504 that completely divides 504 are.
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
Divisors of 777 :
The positive integer divisors of 777 that completely divides 777 are.
1, 3, 7, 21, 37, 111, 259, 777
Divisors of 642 :
The positive integer divisors of 642 that completely divides 642 are.
1, 2, 3, 6, 107, 214, 321, 642
Divisors of 303 :
The positive integer divisors of 303 that completely divides 303 are.
1, 3, 101, 303
GCD of numbers is the greatest common divisor
So, the GCD (504, 777, 642, 303) = 3.
Given numbers are 504, 777, 642, 303
The list of prime factors of all numbers are
Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7
Prime factors of 777 are 3 x 7 x 37
Prime factors of 642 are 2 x 3 x 107
Prime factors of 303 are 3 x 101
The highest common occurrence is 31
Therefore, GCD of 504, 777, 642, 303 is 3.
Given numbers are 504, 777, 642, 303
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(504, 777) = 18648
GCD(504, 777) = ( 504 x 777 ) / 18648
= 504 / 777
= 504
Step2:
LCM(21, 642) = 4494
GCD(21, 642) = ( 21 x 642 ) / 4494
= 21 / 642
= 21
Step3:
LCM(3, 303) = 303
GCD(3, 303) = ( 3 x 303 ) / 303
= 3 / 303
= 3
So, Greatest Common Divisor of 504, 777, 642, 303 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 504, 777, 642, 303
The greatest common divisor of numbers 504, 777, 642, 303 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 777, 642, 303 is 3.
1. What is the GCD of 504, 777, 642, 303?
GCD of given numbers 504, 777, 642, 303 is 3
2. How to calculate the greatest common divisor of 504, 777, 642, 303?
We can find the highest common divisor of 504, 777, 642, 303 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 504, 777, 642, 303 i.e 3.
3. How can I use the GCD of 504, 777, 642, 303Calculator?
Out the numbers 504, 777, 642, 303 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.