Online GCD Calculator is useful to find the GCD of 432, 576, 735, 954 quickly. Get the easiest ways to solve the greatest common divisor of 432, 576, 735, 954 i.e 3 in different methods as follows.
Given Input numbers are 432, 576, 735, 954
In the factoring method, we have to find the divisors of all numbers
Divisors of 432 :
The positive integer divisors of 432 that completely divides 432 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
Divisors of 576 :
The positive integer divisors of 576 that completely divides 576 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
Divisors of 735 :
The positive integer divisors of 735 that completely divides 735 are.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Divisors of 954 :
The positive integer divisors of 954 that completely divides 954 are.
1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
GCD of numbers is the greatest common divisor
So, the GCD (432, 576, 735, 954) = 3.
Given numbers are 432, 576, 735, 954
The list of prime factors of all numbers are
Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 735 are 3 x 5 x 7 x 7
Prime factors of 954 are 2 x 3 x 3 x 53
The highest common occurrence is 31
Therefore, GCD of 432, 576, 735, 954 is 3.
Given numbers are 432, 576, 735, 954
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(432, 576) = 1728
GCD(432, 576) = ( 432 x 576 ) / 1728
= 432 / 576
= 432
Step2:
LCM(144, 735) = 35280
GCD(144, 735) = ( 144 x 735 ) / 35280
= 144 / 735
= 144
Step3:
LCM(3, 954) = 954
GCD(3, 954) = ( 3 x 954 ) / 954
= 3 / 954
= 3
So, Greatest Common Divisor of 432, 576, 735, 954 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 432, 576, 735, 954
The greatest common divisor of numbers 432, 576, 735, 954 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 576, 735, 954 is 3.
1. What is the GCD of 432, 576, 735, 954?
GCD of given numbers 432, 576, 735, 954 is 3
2. How to calculate the greatest common divisor of 432, 576, 735, 954?
We can find the highest common divisor of 432, 576, 735, 954 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 432, 576, 735, 954 i.e 3.
3. How can I use the GCD of 432, 576, 735, 954Calculator?
Out the numbers 432, 576, 735, 954 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.