Online GCD Calculator is useful to find the GCD of 705, 243, 900, 234 quickly. Get the easiest ways to solve the greatest common divisor of 705, 243, 900, 234 i.e 3 in different methods as follows.
Given Input numbers are 705, 243, 900, 234
In the factoring method, we have to find the divisors of all numbers
Divisors of 705 :
The positive integer divisors of 705 that completely divides 705 are.
1, 3, 5, 15, 47, 141, 235, 705
Divisors of 243 :
The positive integer divisors of 243 that completely divides 243 are.
1, 3, 9, 27, 81, 243
Divisors of 900 :
The positive integer divisors of 900 that completely divides 900 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
Divisors of 234 :
The positive integer divisors of 234 that completely divides 234 are.
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
GCD of numbers is the greatest common divisor
So, the GCD (705, 243, 900, 234) = 3.
Given numbers are 705, 243, 900, 234
The list of prime factors of all numbers are
Prime factors of 705 are 3 x 5 x 47
Prime factors of 243 are 3 x 3 x 3 x 3 x 3
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
Prime factors of 234 are 2 x 3 x 3 x 13
The highest common occurrence is 31
Therefore, GCD of 705, 243, 900, 234 is 3.
Given numbers are 705, 243, 900, 234
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(705, 243) = 57105
GCD(705, 243) = ( 705 x 243 ) / 57105
= 705 / 243
= 705
Step2:
LCM(3, 900) = 900
GCD(3, 900) = ( 3 x 900 ) / 900
= 3 / 900
= 3
Step3:
LCM(3, 234) = 234
GCD(3, 234) = ( 3 x 234 ) / 234
= 3 / 234
= 3
So, Greatest Common Divisor of 705, 243, 900, 234 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 705, 243, 900, 234
The greatest common divisor of numbers 705, 243, 900, 234 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 705, 243, 900, 234 is 3.
1. What is the GCD of 705, 243, 900, 234?
GCD of given numbers 705, 243, 900, 234 is 3
2. How to calculate the greatest common divisor of 705, 243, 900, 234?
We can find the highest common divisor of 705, 243, 900, 234 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 705, 243, 900, 234 i.e 3.
3. How can I use the GCD of 705, 243, 900, 234Calculator?
Out the numbers 705, 243, 900, 234 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.