Online GCD Calculator is useful to find the GCD of 477, 753, 489, 963 quickly. Get the easiest ways to solve the greatest common divisor of 477, 753, 489, 963 i.e 3 in different methods as follows.
Given Input numbers are 477, 753, 489, 963
In the factoring method, we have to find the divisors of all numbers
Divisors of 477 :
The positive integer divisors of 477 that completely divides 477 are.
1, 3, 9, 53, 159, 477
Divisors of 753 :
The positive integer divisors of 753 that completely divides 753 are.
1, 3, 251, 753
Divisors of 489 :
The positive integer divisors of 489 that completely divides 489 are.
1, 3, 163, 489
Divisors of 963 :
The positive integer divisors of 963 that completely divides 963 are.
1, 3, 9, 107, 321, 963
GCD of numbers is the greatest common divisor
So, the GCD (477, 753, 489, 963) = 3.
Given numbers are 477, 753, 489, 963
The list of prime factors of all numbers are
Prime factors of 477 are 3 x 3 x 53
Prime factors of 753 are 3 x 251
Prime factors of 489 are 3 x 163
Prime factors of 963 are 3 x 3 x 107
The highest common occurrence is 31
Therefore, GCD of 477, 753, 489, 963 is 3.
Given numbers are 477, 753, 489, 963
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(477, 753) = 119727
GCD(477, 753) = ( 477 x 753 ) / 119727
= 477 / 753
= 477
Step2:
LCM(3, 489) = 489
GCD(3, 489) = ( 3 x 489 ) / 489
= 3 / 489
= 3
Step3:
LCM(3, 963) = 963
GCD(3, 963) = ( 3 x 963 ) / 963
= 3 / 963
= 3
So, Greatest Common Divisor of 477, 753, 489, 963 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 477, 753, 489, 963
The greatest common divisor of numbers 477, 753, 489, 963 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 477, 753, 489, 963 is 3.
1. What is the GCD of 477, 753, 489, 963?
GCD of given numbers 477, 753, 489, 963 is 3
2. How to calculate the greatest common divisor of 477, 753, 489, 963?
We can find the highest common divisor of 477, 753, 489, 963 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 477, 753, 489, 963 i.e 3.
3. How can I use the GCD of 477, 753, 489, 963Calculator?
Out the numbers 477, 753, 489, 963 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.