Online GCD Calculator is useful to find the GCD of 756, 713, 685, 704 quickly. Get the easiest ways to solve the greatest common divisor of 756, 713, 685, 704 i.e 1 in different methods as follows.
Given Input numbers are 756, 713, 685, 704
In the factoring method, we have to find the divisors of all numbers
Divisors of 756 :
The positive integer divisors of 756 that completely divides 756 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
Divisors of 713 :
The positive integer divisors of 713 that completely divides 713 are.
1, 23, 31, 713
Divisors of 685 :
The positive integer divisors of 685 that completely divides 685 are.
1, 5, 137, 685
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 (756, 713, 685, 704) = 1.
Given numbers are 756, 713, 685, 704
The list of prime factors of all numbers are
Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7
Prime factors of 713 are 23 x 31
Prime factors of 685 are 5 x 137
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 756, 713, 685, 704
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(756, 713) = 539028
GCD(756, 713) = ( 756 x 713 ) / 539028
= 756 / 713
= 756
Step2:
LCM(1, 685) = 685
GCD(1, 685) = ( 1 x 685 ) / 685
= 1 / 685
= 1
Step3:
LCM(1, 704) = 704
GCD(1, 704) = ( 1 x 704 ) / 704
= 1 / 704
= 1
So, Greatest Common Divisor of 756, 713, 685, 704 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 756, 713, 685, 704
The greatest common divisor of numbers 756, 713, 685, 704 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 756, 713, 685, 704 is 1.
1. What is the GCD of 756, 713, 685, 704?
GCD of given numbers 756, 713, 685, 704 is 1
2. How to calculate the greatest common divisor of 756, 713, 685, 704?
We can find the highest common divisor of 756, 713, 685, 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 756, 713, 685, 704 i.e 1.
3. How can I use the GCD of 756, 713, 685, 704Calculator?
Out the numbers 756, 713, 685, 704 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.