Online GCD Calculator is useful to find the GCD of 713, 714, 114, 709 quickly. Get the easiest ways to solve the greatest common divisor of 713, 714, 114, 709 i.e 1 in different methods as follows.
Given Input numbers are 713, 714, 114, 709
In the factoring method, we have to find the divisors of all numbers
Divisors of 713 :
The positive integer divisors of 713 that completely divides 713 are.
1, 23, 31, 713
Divisors of 714 :
The positive integer divisors of 714 that completely divides 714 are.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
Divisors of 114 :
The positive integer divisors of 114 that completely divides 114 are.
1, 2, 3, 6, 19, 38, 57, 114
Divisors of 709 :
The positive integer divisors of 709 that completely divides 709 are.
1, 709
GCD of numbers is the greatest common divisor
So, the GCD (713, 714, 114, 709) = 1.
Given numbers are 713, 714, 114, 709
The list of prime factors of all numbers are
Prime factors of 713 are 23 x 31
Prime factors of 714 are 2 x 3 x 7 x 17
Prime factors of 114 are 2 x 3 x 19
Prime factors of 709 are 709
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 713, 714, 114, 709
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(713, 714) = 509082
GCD(713, 714) = ( 713 x 714 ) / 509082
= 713 / 714
= 713
Step2:
LCM(1, 114) = 114
GCD(1, 114) = ( 1 x 114 ) / 114
= 1 / 114
= 1
Step3:
LCM(1, 709) = 709
GCD(1, 709) = ( 1 x 709 ) / 709
= 1 / 709
= 1
So, Greatest Common Divisor of 713, 714, 114, 709 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 713, 714, 114, 709
The greatest common divisor of numbers 713, 714, 114, 709 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 713, 714, 114, 709 is 1.
1. What is the GCD of 713, 714, 114, 709?
GCD of given numbers 713, 714, 114, 709 is 1
2. How to calculate the greatest common divisor of 713, 714, 114, 709?
We can find the highest common divisor of 713, 714, 114, 709 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 713, 714, 114, 709 i.e 1.
3. How can I use the GCD of 713, 714, 114, 709Calculator?
Out the numbers 713, 714, 114, 709 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.