Online GCD Calculator is useful to find the GCD of 576, 261, 942, 729 quickly. Get the easiest ways to solve the greatest common divisor of 576, 261, 942, 729 i.e 3 in different methods as follows.
Given Input numbers are 576, 261, 942, 729
In the factoring method, we have to find the divisors of all numbers
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 261 :
The positive integer divisors of 261 that completely divides 261 are.
1, 3, 9, 29, 87, 261
Divisors of 942 :
The positive integer divisors of 942 that completely divides 942 are.
1, 2, 3, 6, 157, 314, 471, 942
Divisors of 729 :
The positive integer divisors of 729 that completely divides 729 are.
1, 3, 9, 27, 81, 243, 729
GCD of numbers is the greatest common divisor
So, the GCD (576, 261, 942, 729) = 3.
Given numbers are 576, 261, 942, 729
The list of prime factors of all numbers are
Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 261 are 3 x 3 x 29
Prime factors of 942 are 2 x 3 x 157
Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3
The highest common occurrence is 31
Therefore, GCD of 576, 261, 942, 729 is 3.
Given numbers are 576, 261, 942, 729
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(576, 261) = 16704
GCD(576, 261) = ( 576 x 261 ) / 16704
= 576 / 261
= 576
Step2:
LCM(9, 942) = 2826
GCD(9, 942) = ( 9 x 942 ) / 2826
= 9 / 942
= 9
Step3:
LCM(3, 729) = 729
GCD(3, 729) = ( 3 x 729 ) / 729
= 3 / 729
= 3
So, Greatest Common Divisor of 576, 261, 942, 729 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 576, 261, 942, 729
The greatest common divisor of numbers 576, 261, 942, 729 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 576, 261, 942, 729 is 3.
1. What is the GCD of 576, 261, 942, 729?
GCD of given numbers 576, 261, 942, 729 is 3
2. How to calculate the greatest common divisor of 576, 261, 942, 729?
We can find the highest common divisor of 576, 261, 942, 729 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 576, 261, 942, 729 i.e 3.
3. How can I use the GCD of 576, 261, 942, 729Calculator?
Out the numbers 576, 261, 942, 729 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.