Online GCD Calculator is useful to find the GCD of 564, 243, 750, 705 quickly. Get the easiest ways to solve the greatest common divisor of 564, 243, 750, 705 i.e 3 in different methods as follows.
Given Input numbers are 564, 243, 750, 705
In the factoring method, we have to find the divisors of all numbers
Divisors of 564 :
The positive integer divisors of 564 that completely divides 564 are.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
Divisors of 243 :
The positive integer divisors of 243 that completely divides 243 are.
1, 3, 9, 27, 81, 243
Divisors of 750 :
The positive integer divisors of 750 that completely divides 750 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
Divisors of 705 :
The positive integer divisors of 705 that completely divides 705 are.
1, 3, 5, 15, 47, 141, 235, 705
GCD of numbers is the greatest common divisor
So, the GCD (564, 243, 750, 705) = 3.
Given numbers are 564, 243, 750, 705
The list of prime factors of all numbers are
Prime factors of 564 are 2 x 2 x 3 x 47
Prime factors of 243 are 3 x 3 x 3 x 3 x 3
Prime factors of 750 are 2 x 3 x 5 x 5 x 5
Prime factors of 705 are 3 x 5 x 47
The highest common occurrence is 31
Therefore, GCD of 564, 243, 750, 705 is 3.
Given numbers are 564, 243, 750, 705
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(564, 243) = 45684
GCD(564, 243) = ( 564 x 243 ) / 45684
= 564 / 243
= 564
Step2:
LCM(3, 750) = 750
GCD(3, 750) = ( 3 x 750 ) / 750
= 3 / 750
= 3
Step3:
LCM(3, 705) = 705
GCD(3, 705) = ( 3 x 705 ) / 705
= 3 / 705
= 3
So, Greatest Common Divisor of 564, 243, 750, 705 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 564, 243, 750, 705
The greatest common divisor of numbers 564, 243, 750, 705 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 243, 750, 705 is 3.
1. What is the GCD of 564, 243, 750, 705?
GCD of given numbers 564, 243, 750, 705 is 3
2. How to calculate the greatest common divisor of 564, 243, 750, 705?
We can find the highest common divisor of 564, 243, 750, 705 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 564, 243, 750, 705 i.e 3.
3. How can I use the GCD of 564, 243, 750, 705Calculator?
Out the numbers 564, 243, 750, 705 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.