Online GCD Calculator is useful to find the GCD of 735, 288, 135 quickly. Get the easiest ways to solve the greatest common divisor of 735, 288, 135 i.e 3 in different methods as follows.
Given Input numbers are 735, 288, 135
In the factoring method, we have to find the divisors of all numbers
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 288 :
The positive integer divisors of 288 that completely divides 288 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
Divisors of 135 :
The positive integer divisors of 135 that completely divides 135 are.
1, 3, 5, 9, 15, 27, 45, 135
GCD of numbers is the greatest common divisor
So, the GCD (735, 288, 135) = 3.
Given numbers are 735, 288, 135
The list of prime factors of all numbers are
Prime factors of 735 are 3 x 5 x 7 x 7
Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 135 are 3 x 3 x 3 x 5
The highest common occurrence is 31
Therefore, GCD of 735, 288, 135 is 3.
Given numbers are 735, 288, 135
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(735, 288) = 70560
GCD(735, 288) = ( 735 x 288 ) / 70560
= 735 / 288
= 735
Step2:
LCM(3, 135) = 135
GCD(3, 135) = ( 3 x 135 ) / 135
= 3 / 135
= 3
So, Greatest Common Divisor of 735, 288, 135 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 735, 288, 135
The greatest common divisor of numbers 735, 288, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 735, 288, 135 is 3.
1. What is the GCD of 735, 288, 135?
GCD of given numbers 735, 288, 135 is 3
2. How to calculate the greatest common divisor of 735, 288, 135?
We can find the highest common divisor of 735, 288, 135 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 735, 288, 135 i.e 3.
3. How can I use the GCD of 735, 288, 135Calculator?
Out the numbers 735, 288, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.