Online GCD Calculator is useful to find the GCD of 477, 216, 960, 252 quickly. Get the easiest ways to solve the greatest common divisor of 477, 216, 960, 252 i.e 3 in different methods as follows.
Given Input numbers are 477, 216, 960, 252
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 216 :
The positive integer divisors of 216 that completely divides 216 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
Divisors of 960 :
The positive integer divisors of 960 that completely divides 960 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
Divisors of 252 :
The positive integer divisors of 252 that completely divides 252 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
GCD of numbers is the greatest common divisor
So, the GCD (477, 216, 960, 252) = 3.
Given numbers are 477, 216, 960, 252
The list of prime factors of all numbers are
Prime factors of 477 are 3 x 3 x 53
Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 252 are 2 x 2 x 3 x 3 x 7
The highest common occurrence is 31
Therefore, GCD of 477, 216, 960, 252 is 3.
Given numbers are 477, 216, 960, 252
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(477, 216) = 11448
GCD(477, 216) = ( 477 x 216 ) / 11448
= 477 / 216
= 477
Step2:
LCM(9, 960) = 2880
GCD(9, 960) = ( 9 x 960 ) / 2880
= 9 / 960
= 9
Step3:
LCM(3, 252) = 252
GCD(3, 252) = ( 3 x 252 ) / 252
= 3 / 252
= 3
So, Greatest Common Divisor of 477, 216, 960, 252 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 477, 216, 960, 252
The greatest common divisor of numbers 477, 216, 960, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 477, 216, 960, 252 is 3.
1. What is the GCD of 477, 216, 960, 252?
GCD of given numbers 477, 216, 960, 252 is 3
2. How to calculate the greatest common divisor of 477, 216, 960, 252?
We can find the highest common divisor of 477, 216, 960, 252 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, 216, 960, 252 i.e 3.
3. How can I use the GCD of 477, 216, 960, 252Calculator?
Out the numbers 477, 216, 960, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.