Online GCD Calculator is useful to find the GCD of 703, 270, 327, 105 quickly. Get the easiest ways to solve the greatest common divisor of 703, 270, 327, 105 i.e 1 in different methods as follows.
Given Input numbers are 703, 270, 327, 105
In the factoring method, we have to find the divisors of all numbers
Divisors of 703 :
The positive integer divisors of 703 that completely divides 703 are.
1, 19, 37, 703
Divisors of 270 :
The positive integer divisors of 270 that completely divides 270 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 327 :
The positive integer divisors of 327 that completely divides 327 are.
1, 3, 109, 327
Divisors of 105 :
The positive integer divisors of 105 that completely divides 105 are.
1, 3, 5, 7, 15, 21, 35, 105
GCD of numbers is the greatest common divisor
So, the GCD (703, 270, 327, 105) = 1.
Given numbers are 703, 270, 327, 105
The list of prime factors of all numbers are
Prime factors of 703 are 19 x 37
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
Prime factors of 327 are 3 x 109
Prime factors of 105 are 3 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 703, 270, 327, 105
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(703, 270) = 189810
GCD(703, 270) = ( 703 x 270 ) / 189810
= 703 / 270
= 703
Step2:
LCM(1, 327) = 327
GCD(1, 327) = ( 1 x 327 ) / 327
= 1 / 327
= 1
Step3:
LCM(1, 105) = 105
GCD(1, 105) = ( 1 x 105 ) / 105
= 1 / 105
= 1
So, Greatest Common Divisor of 703, 270, 327, 105 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 703, 270, 327, 105
The greatest common divisor of numbers 703, 270, 327, 105 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 703, 270, 327, 105 is 1.
1. What is the GCD of 703, 270, 327, 105?
GCD of given numbers 703, 270, 327, 105 is 1
2. How to calculate the greatest common divisor of 703, 270, 327, 105?
We can find the highest common divisor of 703, 270, 327, 105 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 703, 270, 327, 105 i.e 1.
3. How can I use the GCD of 703, 270, 327, 105Calculator?
Out the numbers 703, 270, 327, 105 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.