Online GCD Calculator is useful to find the GCD of 705, 731, 634, 243 quickly. Get the easiest ways to solve the greatest common divisor of 705, 731, 634, 243 i.e 1 in different methods as follows.
Given Input numbers are 705, 731, 634, 243
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 731 :
The positive integer divisors of 731 that completely divides 731 are.
1, 17, 43, 731
Divisors of 634 :
The positive integer divisors of 634 that completely divides 634 are.
1, 2, 317, 634
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 (705, 731, 634, 243) = 1.
Given numbers are 705, 731, 634, 243
The list of prime factors of all numbers are
Prime factors of 705 are 3 x 5 x 47
Prime factors of 731 are 17 x 43
Prime factors of 634 are 2 x 317
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 705, 731, 634, 243
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(705, 731) = 515355
GCD(705, 731) = ( 705 x 731 ) / 515355
= 705 / 731
= 705
Step2:
LCM(1, 634) = 634
GCD(1, 634) = ( 1 x 634 ) / 634
= 1 / 634
= 1
Step3:
LCM(1, 243) = 243
GCD(1, 243) = ( 1 x 243 ) / 243
= 1 / 243
= 1
So, Greatest Common Divisor of 705, 731, 634, 243 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 705, 731, 634, 243
The greatest common divisor of numbers 705, 731, 634, 243 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 705, 731, 634, 243 is 1.
1. What is the GCD of 705, 731, 634, 243?
GCD of given numbers 705, 731, 634, 243 is 1
2. How to calculate the greatest common divisor of 705, 731, 634, 243?
We can find the highest common divisor of 705, 731, 634, 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 705, 731, 634, 243 i.e 1.
3. How can I use the GCD of 705, 731, 634, 243Calculator?
Out the numbers 705, 731, 634, 243 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.