Online GCD Calculator is useful to find the GCD of 708, 735, 729, 933 quickly. Get the easiest ways to solve the greatest common divisor of 708, 735, 729, 933 i.e 3 in different methods as follows.
Given Input numbers are 708, 735, 729, 933
In the factoring method, we have to find the divisors of all numbers
Divisors of 708 :
The positive integer divisors of 708 that completely divides 708 are.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
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 729 :
The positive integer divisors of 729 that completely divides 729 are.
1, 3, 9, 27, 81, 243, 729
Divisors of 933 :
The positive integer divisors of 933 that completely divides 933 are.
1, 3, 311, 933
GCD of numbers is the greatest common divisor
So, the GCD (708, 735, 729, 933) = 3.
Given numbers are 708, 735, 729, 933
The list of prime factors of all numbers are
Prime factors of 708 are 2 x 2 x 3 x 59
Prime factors of 735 are 3 x 5 x 7 x 7
Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3
Prime factors of 933 are 3 x 311
The highest common occurrence is 31
Therefore, GCD of 708, 735, 729, 933 is 3.
Given numbers are 708, 735, 729, 933
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(708, 735) = 173460
GCD(708, 735) = ( 708 x 735 ) / 173460
= 708 / 735
= 708
Step2:
LCM(3, 729) = 729
GCD(3, 729) = ( 3 x 729 ) / 729
= 3 / 729
= 3
Step3:
LCM(3, 933) = 933
GCD(3, 933) = ( 3 x 933 ) / 933
= 3 / 933
= 3
So, Greatest Common Divisor of 708, 735, 729, 933 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 708, 735, 729, 933
The greatest common divisor of numbers 708, 735, 729, 933 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 708, 735, 729, 933 is 3.
1. What is the GCD of 708, 735, 729, 933?
GCD of given numbers 708, 735, 729, 933 is 3
2. How to calculate the greatest common divisor of 708, 735, 729, 933?
We can find the highest common divisor of 708, 735, 729, 933 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 708, 735, 729, 933 i.e 3.
3. How can I use the GCD of 708, 735, 729, 933Calculator?
Out the numbers 708, 735, 729, 933 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.