Online GCD Calculator is useful to find the GCD of 594, 771, 747, 471 quickly. Get the easiest ways to solve the greatest common divisor of 594, 771, 747, 471 i.e 3 in different methods as follows.
Given Input numbers are 594, 771, 747, 471
In the factoring method, we have to find the divisors of all numbers
Divisors of 594 :
The positive integer divisors of 594 that completely divides 594 are.
1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
Divisors of 771 :
The positive integer divisors of 771 that completely divides 771 are.
1, 3, 257, 771
Divisors of 747 :
The positive integer divisors of 747 that completely divides 747 are.
1, 3, 9, 83, 249, 747
Divisors of 471 :
The positive integer divisors of 471 that completely divides 471 are.
1, 3, 157, 471
GCD of numbers is the greatest common divisor
So, the GCD (594, 771, 747, 471) = 3.
Given numbers are 594, 771, 747, 471
The list of prime factors of all numbers are
Prime factors of 594 are 2 x 3 x 3 x 3 x 11
Prime factors of 771 are 3 x 257
Prime factors of 747 are 3 x 3 x 83
Prime factors of 471 are 3 x 157
The highest common occurrence is 31
Therefore, GCD of 594, 771, 747, 471 is 3.
Given numbers are 594, 771, 747, 471
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(594, 771) = 152658
GCD(594, 771) = ( 594 x 771 ) / 152658
= 594 / 771
= 594
Step2:
LCM(3, 747) = 747
GCD(3, 747) = ( 3 x 747 ) / 747
= 3 / 747
= 3
Step3:
LCM(3, 471) = 471
GCD(3, 471) = ( 3 x 471 ) / 471
= 3 / 471
= 3
So, Greatest Common Divisor of 594, 771, 747, 471 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 594, 771, 747, 471
The greatest common divisor of numbers 594, 771, 747, 471 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 594, 771, 747, 471 is 3.
1. What is the GCD of 594, 771, 747, 471?
GCD of given numbers 594, 771, 747, 471 is 3
2. How to calculate the greatest common divisor of 594, 771, 747, 471?
We can find the highest common divisor of 594, 771, 747, 471 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 594, 771, 747, 471 i.e 3.
3. How can I use the GCD of 594, 771, 747, 471Calculator?
Out the numbers 594, 771, 747, 471 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.