Online GCD Calculator is useful to find the GCD of 105, 771, 234, 704 quickly. Get the easiest ways to solve the greatest common divisor of 105, 771, 234, 704 i.e 1 in different methods as follows.
Given Input numbers are 105, 771, 234, 704
In the factoring method, we have to find the divisors of all numbers
Divisors of 105 :
The positive integer divisors of 105 that completely divides 105 are.
1, 3, 5, 7, 15, 21, 35, 105
Divisors of 771 :
The positive integer divisors of 771 that completely divides 771 are.
1, 3, 257, 771
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
Divisors of 704 :
The positive integer divisors of 704 that completely divides 704 are.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
GCD of numbers is the greatest common divisor
So, the GCD (105, 771, 234, 704) = 1.
Given numbers are 105, 771, 234, 704
The list of prime factors of all numbers are
Prime factors of 105 are 3 x 5 x 7
Prime factors of 771 are 3 x 257
Prime factors of 234 are 2 x 3 x 3 x 13
Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 105, 771, 234, 704
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(105, 771) = 26985
GCD(105, 771) = ( 105 x 771 ) / 26985
= 105 / 771
= 105
Step2:
LCM(3, 234) = 234
GCD(3, 234) = ( 3 x 234 ) / 234
= 3 / 234
= 3
Step3:
LCM(3, 704) = 2112
GCD(3, 704) = ( 3 x 704 ) / 2112
= 3 / 704
= 3
So, Greatest Common Divisor of 105, 771, 234, 704 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 105, 771, 234, 704
The greatest common divisor of numbers 105, 771, 234, 704 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 771, 234, 704 is 1.
1. What is the GCD of 105, 771, 234, 704?
GCD of given numbers 105, 771, 234, 704 is 1
2. How to calculate the greatest common divisor of 105, 771, 234, 704?
We can find the highest common divisor of 105, 771, 234, 704 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 105, 771, 234, 704 i.e 1.
3. How can I use the GCD of 105, 771, 234, 704Calculator?
Out the numbers 105, 771, 234, 704 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.