Online GCD Calculator is useful to find the GCD of 164, 750, 705, 243 quickly. Get the easiest ways to solve the greatest common divisor of 164, 750, 705, 243 i.e 1 in different methods as follows.
Given Input numbers are 164, 750, 705, 243
In the factoring method, we have to find the divisors of all numbers
Divisors of 164 :
The positive integer divisors of 164 that completely divides 164 are.
1, 2, 4, 41, 82, 164
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
Divisors of 243 :
The positive integer divisors of 243 that completely divides 243 are.
1, 3, 9, 27, 81, 243
GCD of numbers is the greatest common divisor
So, the GCD (164, 750, 705, 243) = 1.
Given numbers are 164, 750, 705, 243
The list of prime factors of all numbers are
Prime factors of 164 are 2 x 2 x 41
Prime factors of 750 are 2 x 3 x 5 x 5 x 5
Prime factors of 705 are 3 x 5 x 47
Prime factors of 243 are 3 x 3 x 3 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 164, 750, 705, 243
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(164, 750) = 61500
GCD(164, 750) = ( 164 x 750 ) / 61500
= 164 / 750
= 164
Step2:
LCM(2, 705) = 1410
GCD(2, 705) = ( 2 x 705 ) / 1410
= 2 / 705
= 2
Step3:
LCM(1, 243) = 243
GCD(1, 243) = ( 1 x 243 ) / 243
= 1 / 243
= 1
So, Greatest Common Divisor of 164, 750, 705, 243 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 164, 750, 705, 243
The greatest common divisor of numbers 164, 750, 705, 243 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 164, 750, 705, 243 is 1.
1. What is the GCD of 164, 750, 705, 243?
GCD of given numbers 164, 750, 705, 243 is 1
2. How to calculate the greatest common divisor of 164, 750, 705, 243?
We can find the highest common divisor of 164, 750, 705, 243 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 164, 750, 705, 243 i.e 1.
3. How can I use the GCD of 164, 750, 705, 243Calculator?
Out the numbers 164, 750, 705, 243 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.